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Analysis of singular nonlinear structure in dissipative systems

Research Project

Project/Area Number 17H01095
Research Category

Grant-in-Aid for Scientific Research (A)

Allocation TypeSingle-year Grants
Section一般
Research Field Mathematical analysis
Research InstitutionThe University of Tokyo (2021-2022)
Tokyo Institute of Technology (2017-2020)

Principal Investigator

Yanagida Eiji  東京大学, 大学院数理科学研究科, 特任教授 (80174548)

Co-Investigator(Kenkyū-buntansha) 石渡 通徳  大阪大学, 大学院基礎工学研究科, 教授 (30350458)
赤木 剛朗  東北大学, 理学研究科, 教授 (60360202)
田中 敏  東北大学, 理学研究科, 教授 (90331959)
若狭 徹  九州工業大学, 大学院工学研究院, 准教授 (20454069)
佐野 めぐみ  広島大学, 先進理工系科学研究科(工), 准教授 (70834935)
高橋 太  大阪公立大学, 大学院理学研究科, 教授 (10374901)
石毛 和弘  東京大学, 大学院数理科学研究科, 教授 (90272020)
Project Period (FY) 2017-04-01 – 2022-03-31
Project Status Completed (Fiscal Year 2022)
Budget Amount *help
¥43,940,000 (Direct Cost: ¥33,800,000、Indirect Cost: ¥10,140,000)
Fiscal Year 2021: ¥8,970,000 (Direct Cost: ¥6,900,000、Indirect Cost: ¥2,070,000)
Fiscal Year 2020: ¥8,710,000 (Direct Cost: ¥6,700,000、Indirect Cost: ¥2,010,000)
Fiscal Year 2019: ¥8,580,000 (Direct Cost: ¥6,600,000、Indirect Cost: ¥1,980,000)
Fiscal Year 2018: ¥8,190,000 (Direct Cost: ¥6,300,000、Indirect Cost: ¥1,890,000)
Fiscal Year 2017: ¥9,490,000 (Direct Cost: ¥7,300,000、Indirect Cost: ¥2,190,000)
Keywords散逸型方程式 / 楕円型方程式 / 放物型方程式 / 形状解析 / 特異性 / 進行波解 / 漸近挙動 / 発展方程式 / 偏微分方程式 / 特異拡散 / 散逸 / 変分問題 / 非線形 / 臨界指数 / ブラウン運動 / 関数方程式 / 分数ブラウン運動
Outline of Final Research Achievements

We analyzed the singular nonlinear structure in the dissipation type equation. For elliptic equations, we obtained results on the uniqueness or multiple existence of positive solutions, asymptotic behavior of spherically symmetric solutions, and asymptotic formulas of eigenvalues. For parabolic equations, we obtained results on the existence of solutions with moving singularities, the asymptotic behavior of time-global solutions, the existence and stability of traveling waves, and the preservation of convexity. For various evolution equations, we obtained results on the existence of solutions, regularity, bifurcation problems, the Chafee-Infante problem on networks, and an optimization problem related to a biological model. In addition, the derivation of various related inequalities and their best constants and attainability have been studied.

Academic Significance and Societal Importance of the Research Achievements

時空間パターンの形成や波動の伝播などの現象は散逸と非線形性を含む方程式系で記述されることが多い.そのため,散逸型方程式系の解の形状と挙動に関する研究は理論面からも応用面からも,近年ますますその重要性が高まり,解析学におけるもっとも重要かつ発展性のある分野の一つとなっている.この研究計画では,散逸型方程式における特異非線形構造について組織的かつ系統的に研究を進め,各種の楕円型および放物型偏微分方程式に対して特異非線形構造の本質を解明しることによって理論応用の両面から貢献した.また,関連する不等式の問題についても理論的に大きな進歩があり,将来的にはさらなる発展と応用が期待される.

Report

(6 results)
  • 2022 Final Research Report ( PDF )
  • 2021 Annual Research Report
  • 2020 Annual Research Report
  • 2019 Annual Research Report
  • 2018 Annual Research Report
  • 2017 Annual Research Report
  • Research Products

    (238 results)

All 2022 2021 2020 2019 2018 2017 Other

All Int'l Joint Research (8 results) Journal Article (66 results) (of which Int'l Joint Research: 37 results,  Peer Reviewed: 65 results,  Open Access: 20 results) Presentation (157 results) (of which Int'l Joint Research: 81 results,  Invited: 134 results) Book (4 results) Funded Workshop (3 results)

  • [Int'l Joint Research] 台湾中央大学(その他の国・地域(台湾))

    • Related Report
      2020 Annual Research Report
  • [Int'l Joint Research] Comenius University(スロバキア)

    • Related Report
      2020 Annual Research Report
  • [Int'l Joint Research] Comenius University(スロバキア)

    • Related Report
      2019 Annual Research Report
  • [Int'l Joint Research] 台湾中央大学(その他の国・地域(台湾))

    • Related Report
      2019 Annual Research Report
  • [Int'l Joint Research] 台湾中央大学(その他の国・地域(台湾))

    • Related Report
      2018 Annual Research Report
  • [Int'l Joint Research] Mittag-Leffler研究所(スウェーデン)

    • Related Report
      2018 Annual Research Report
  • [Int'l Joint Research] コメニウス大学(スロバキア)

    • Related Report
      2017 Annual Research Report
  • [Int'l Joint Research] ベルリン自由大学(ドイツ)

    • Related Report
      2017 Annual Research Report
  • [Journal Article] Local well-posedness for Fr?mond’s model of complete damage in elastic solids2022

    • Author(s)
      AKAGI GORO、SCHIMPERNA GIULIO
    • Journal Title

      European Journal of Applied Mathematics

      Volume: 33 Issue: 2 Pages: 309-327

    • DOI

      10.1017/s0956792521000024

    • Related Report
      2021 Annual Research Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] Traveling wave dynamics for Allen-Cahn equations with strong irreversibility2022

    • Author(s)
      Akagi Goro、Kuehn Christian、Nakamura Ken-Ichi
    • Journal Title

      Transactions of the American Mathematical Society

      Volume: 375 Pages: 3173-3238

    • DOI

      10.1090/tran/8583

    • Related Report
      2021 Annual Research Report
    • Peer Reviewed / Open Access / Int'l Joint Research
  • [Journal Article] Space-time homogenization problems for porous medium equations with nonnegative initial data2022

    • Author(s)
      Goro Akagi and Tomoyuki Oka
    • Journal Title

      Advances in Mathematical Sciences and Applications, Gakkotosho

      Volume: 31 Pages: 1-19

    • Related Report
      2021 Annual Research Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] Critical Hardy inequality on the half-space via the harmonic transplantation2022

    • Author(s)
      Megumi Sano, and Futoshi Takahashi
    • Journal Title

      Calculus of Variations and Partial Differential Equations

      Volume: 21 Issue: 12 Pages: 2-42

    • DOI

      10.1007/s00526-022-02265-w

    • URL

      https://ocu-omu.repo.nii.ac.jp/records/2016927

    • Related Report
      2021 Annual Research Report
    • Peer Reviewed / Open Access
  • [Journal Article] Maximizing the total population with logistic growth in a patchy environment2021

    • Author(s)
      Nagahara Kentaro、Lou Yuan、Yanagida Eiji
    • Journal Title

      Journal of Mathematical Biology

      Volume: 82 Issue: 1-2 Pages: 0-0

    • DOI

      10.1007/s00285-021-01565-7

    • Related Report
      2021 Annual Research Report 2020 Annual Research Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] On the evolution equation with a dynamic Hardy-type potential2021

    • Author(s)
      Chern Jann-Long、Hwang Gyeongha、Takahashi Jin、Yanagida Eiji
    • Journal Title

      J. Evol. Equ.

      Volume: 21 Pages: 2141-2165

    • DOI

      10.21203/rs.3.rs-168871/v1

    • Related Report
      2021 Annual Research Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] Qualitative analysis of singular solutions for nonlinear elliptic equations with potentials2021

    • Author(s)
      Chern Jann-Long、Yanagida Eiji
    • Journal Title

      Mathematische Annalen

      Volume: 381 Issue: 1-2 Pages: 853-874

    • DOI

      10.1007/s00208-020-02016-2

    • Related Report
      2021 Annual Research Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] Solutions with snaking singularities for the fast diffusion equation2021

    • Author(s)
      Fila Marek、King John Robert、Takahashi Jin、Yanagida Eiji
    • Journal Title

      Transactions of the American Mathematical Society

      Volume: 374 Issue: 12 Pages: 8775-8792

    • DOI

      10.1090/tran/8479

    • Related Report
      2021 Annual Research Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] Variational p-harmonious functions : existence and convergence to p-harmonic functions2021

    • Author(s)
      Evan William Chandra, Michinori Ishiwata, Rolando Magnanini, Hidemitsu Wadade
    • Journal Title

      Nonlinear Differential Equations and Applications NoDEA

      Volume: 51 Issue: 5 Pages: 51-51

    • DOI

      10.1007/s00030-021-00714-7

    • Related Report
      2021 Annual Research Report
    • Peer Reviewed / Open Access / Int'l Joint Research
  • [Journal Article] Asymptotics for a parabolic equation with critical exponential nonlinearity2021

    • Author(s)
      Ishiwata Michinori、Ruf Bernhard、Sani Federica、Terraneo Elide
    • Journal Title

      Journal of Evolution Equations

      Volume: 21 Issue: 2 Pages: 1677-1716

    • DOI

      10.1007/s00028-020-00649-z

    • Related Report
      2021 Annual Research Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] On the uniqueness of solutions of a semilinear equation in an annulus2021

    • Author(s)
      Carmen Cortazar, Marta Garcia-Huidobro, Pilar Herreros, Satoshi Tanaka
    • Journal Title

      Communications on Pure and Applied Analysis

      Volume: 20 Issue: 4 Pages: 1479-1479

    • DOI

      10.3934/cpaa.2021029

    • Related Report
      2021 Annual Research Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] A note on the asymptotic behavior of radial solutions to quasilinear elliptic equations with a Hardy potential2021

    • Author(s)
      Kenta Itakura, Satoshi Tanaka
    • Journal Title

      Proceedings of the American Mathematical Society, Series B

      Volume: 8 Issue: 25 Pages: 302-310

    • DOI

      10.1090/bproc/100

    • Related Report
      2021 Annual Research Report
    • Peer Reviewed / Open Access
  • [Journal Article] On an effect of inhomogeneous constraints for a maximizing problem of the Sobolev embedding associated with the space of bounded variation2021

    • Author(s)
      石渡通徳, 和田出秀光
    • Journal Title

      Studia Mathematica

      Volume: 257 Issue: 2 Pages: 213-240

    • DOI

      10.4064/sm190613-13-7

    • Related Report
      2020 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Perturbations of planar quasilinear differential systems2021

    • Author(s)
      Itakura Kenta、Onitsuka Masakazu、Tanaka Satoshi
    • Journal Title

      Journal of Differential Equations

      Volume: 271 Pages: 216-253

    • DOI

      10.1016/j.jde.2020.08.024

    • Related Report
      2020 Annual Research Report
    • Peer Reviewed / Open Access
  • [Journal Article] Uniqueness of positive radial solutions of superlinear elliptic equations in annuli2021

    • Author(s)
      Shioji Naoki、Tanaka Satoshi、Watanabe Kohtaro
    • Journal Title

      Journal of Differential Equations

      Volume: 284 Pages: 522-545

    • DOI

      10.1016/j.jde.2021.02.047

    • Related Report
      2020 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Moving singularities for nonlinear diffusion equations in two space dimensions2020

    • Author(s)
      M. Fila, P. Mackova, J. Takahashi, E. Yanagida
    • Journal Title

      J. Elliptic Parabol. Equ.

      Volume: - Issue: 1 Pages: 155-169

    • DOI

      10.1007/s41808-020-00062-0

    • Related Report
      2020 Annual Research Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] The Cauchy problem for the Finsler heat equation2020

    • Author(s)
      G. Akagi, K. Ishige, R. Sato
    • Journal Title

      Adv. Calc. Var.

      Volume: 13 Issue: 3 Pages: 257-278

    • DOI

      10.1515/acv-2017-0048

    • Related Report
      2020 Annual Research Report
    • Peer Reviewed
  • [Journal Article] The structure of stationary solutions to a micro-electro mechanical system with fringing field2020

    • Author(s)
      Guo Jong-Shenq、Huang Bo-Chih、Wakasa Tohru、Wang Chi-Jen、Yu Cherng-Yih
    • Journal Title

      Journal of Differential Equations

      Volume: 269 Issue: 9 Pages: 7676-7704

    • DOI

      10.1016/j.jde.2020.05.041

    • Related Report
      2020 Annual Research Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] A nonlinear parabolic-hyperbolic system for contact inhibition and a degenerate parabolic fisher kpp equation2020

    • Author(s)
      Bertsch Michiel、Hilhorst Danielle、Izuhara Hirofumi、Mimura Masayasu、Wakasa Tohru
    • Journal Title

      Discrete & Continuous Dynamical Systems - A

      Volume: 40 Issue: 6 Pages: 3117-3142

    • DOI

      10.3934/dcds.2019226

    • Related Report
      2020 Annual Research Report
    • Peer Reviewed / Open Access / Int'l Joint Research
  • [Journal Article] Minimization problem associated with an improved Hardy-Sobolev type inequality2020

    • Author(s)
      Sano Megumi
    • Journal Title

      Nonlinear Analysis

      Volume: 200 Pages: 111965-111965

    • DOI

      10.1016/j.na.2020.111965

    • Related Report
      2020 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Remarks on a limiting case of Hardy type inequalities2020

    • Author(s)
      Sano Megumi、Sobukawa Takuya
    • Journal Title

      Mathematical Inequalities & Applications

      Volume: 23 Issue: 4 Pages: 1425-1440

    • DOI

      10.7153/mia-2020-23-102

    • Related Report
      2020 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Finsler Hardy inequalities2020

    • Author(s)
      Mercaldo Anna、Sano Megumi、Takahashi Futoshi
    • Journal Title

      Mathematische Nachrichten

      Volume: 293 Issue: 12 Pages: 2370-2398

    • DOI

      10.1002/mana.201900117

    • NAID

      120007163639

    • URL

      https://ocu-omu.repo.nii.ac.jp/records/2020096

    • Related Report
      2020 Annual Research Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] Positive solutions for systems of quasilinear equations with non-homogeneous operators and weights2020

    • Author(s)
      Marta Garcia-Huidobro, Raul Manasevich and Satoshi Tanaka
    • Journal Title

      Advanced Nonlinear Studies

      Volume: -

    • Related Report
      2019 Annual Research Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] Solutions with moving singularities for equations of porous medium type2019

    • Author(s)
      Marek Fila, Jin Takahashi and Eiji Yanagida
    • Journal Title

      Nonlinear Analysis

      Volume: 179 Pages: 237-253

    • DOI

      10.1016/j.na.2018.08.016

    • Related Report
      2019 Annual Research Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] Blow-up of sign-changing solutions for a one-dimensional nonlinear diffusion equation2019

    • Author(s)
      Eiji Yanagida
    • Journal Title

      Nonlinear Analysis

      Volume: 185 Pages: 193-205

    • DOI

      10.1016/j.na.2019.03.011

    • Related Report
      2019 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Dynamics of interfaces in the Fisher-KPP equation for slowly decaying initial data2019

    • Author(s)
      Hirokazu Ninomiya and Eiji Yanagida
    • Journal Title

      Journal of Differential Equations

      Volume: 267 Issue: 8 Pages: 4922-4947

    • DOI

      10.1016/j.jde.2019.05.021

    • Related Report
      2019 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Fractional flows driven by subdifferentials in Hilbert spaces2019

    • Author(s)
      Akagi Goro
    • Journal Title

      Israel Journal of Mathematics

      Volume: 234 Issue: 2 Pages: 809-862

    • DOI

      10.1007/s11856-019-1936-9

    • Related Report
      2019 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Allen-Cahn equation with strong irreversibility2019

    • Author(s)
      Goro Akagi and Messoud Efendiev
    • Journal Title

      European Journal of Applied Mathematics

      Volume: 30 Issue: 04 Pages: 707-755

    • DOI

      10.1017/s0956792518000384

    • Related Report
      2019 Annual Research Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] Convergence of solutions for the fractional Cahn-Hilliard system2019

    • Author(s)
      Akagi Goro、Schimperna Giulio、Segatti Antonio
    • Journal Title

      Journal of Functional Analysis

      Volume: 276 Issue: 9 Pages: 2663-2715

    • DOI

      10.1016/j.jfa.2019.01.006

    • Related Report
      2019 Annual Research Report
    • Peer Reviewed / Open Access / Int'l Joint Research
  • [Journal Article] Porous medium equation with a blow-up nonlinearity and a non-decreasing constraint2019

    • Author(s)
      Goro Akagi and Stefano Melchionna
    • Journal Title

      Nonlinear Differential Equations and Applications (NoDEA)

      Volume: 26 Issue: 2 Pages: 10-10

    • DOI

      10.1007/s00030-019-0551-0

    • Related Report
      2019 Annual Research Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] Solvability of the heat equation with a nonlinear boundary condition2019

    • Author(s)
      Hisa, Kotaro; Ishige, Kazuhiro
    • Journal Title

      SIAM J. Math. Anal.

      Volume: 51 Issue: 1 Pages: 565-594

    • DOI

      10.1137/17m1131416

    • Related Report
      2019 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Hot spots of solutions to the heat equation with inverse square potential2019

    • Author(s)
      Kazuhiro Ishige, Yoshitsugu Kabeya, Asato Mukai
    • Journal Title

      Applicable Analysis

      Volume: 98 Issue: 10 Pages: 1843-1861

    • DOI

      10.1080/00036811.2018.1466284

    • Related Report
      2019 Annual Research Report
    • Peer Reviewed / Open Access
  • [Journal Article] A supercritical scalar field equation with a forcing term2019

    • Author(s)
      Kazujiro Ishige, Shinya Okabe and Tokushi Sato
    • Journal Title

      Journal de Mathematiques Pures et Appliquees

      Volume: 128 Pages: 183-212

    • DOI

      10.1016/j.matpur.2019.04.003

    • Related Report
      2019 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Rate of convergence in the large diffusion limit for the heat equation with a dynamical boundary condition2019

    • Author(s)
      Marek Fila, Kazuhiro Ishige, Tatsuki Kawakami and Johannes Lankeit
    • Journal Title

      Asymptotic Analysis

      Volume: 114 Issue: 1-2 Pages: 37-57

    • DOI

      10.3233/asy-181517

    • Related Report
      2019 Annual Research Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] Weighted Hardy's inequality in a limiting case and the perturbed Kolmogorov equation2019

    • Author(s)
      Sano Megumi、Takahashi Futoshi
    • Journal Title

      Applicable Analysis

      Volume: 98 Issue: 10 Pages: 1875-1888

    • DOI

      10.1080/00036811.2018.1471208

    • NAID

      120006770009

    • URL

      https://ocu-omu.repo.nii.ac.jp/records/2019616

    • Related Report
      2019 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Hardy's inequality in a limiting case on general bounded domains2019

    • Author(s)
      Jaeyoung Byeon and Futoshi Takahashi
    • Journal Title

      Communications in Contemporary Mathematics

      Volume: 21 Issue: 08 Pages: 1850070-1850070

    • DOI

      10.1142/s0219199718500700

    • Related Report
      2019 Annual Research Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] Sharp Hardy-Leray inequality for three-dimensional solenoidal fields with axisymmetric swirl2019

    • Author(s)
      Naoki Hamamoto and Futoshi Takahashi
    • Journal Title

      Communications of Pure and Applied Analysis

      Volume: 19 Issue: 6 Pages: 3209-3222

    • DOI

      10.3934/cpaa.2020139

    • NAID

      120007119724

    • URL

      https://ocu-omu.repo.nii.ac.jp/records/2019786

    • Related Report
      2019 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Finsler Hardy-Kato's inequality2019

    • Author(s)
      A. Alvino, A. Ferone, A. Mercaldo, F. Takahashi and R. Volpicelli
    • Journal Title

      Journal of Mathematical Analysis and Applications

      Volume: 470 Issue: 1 Pages: 360-374

    • DOI

      10.1016/j.jmaa.2018.10.008

    • Related Report
      2018 Annual Research Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] CRITICAL AND SUBCRITICAL FRACTIONAL TRUDINGER-MOSER TYPE INEQUALITIES ON R2019

    • Author(s)
      F. Takahashi
    • Journal Title

      Advances in Nonlinear Analysis

      Volume: 16 Issue: 14 Pages: 1-22

    • DOI

      10.1515/anona-2017-0116

    • URL

      https://ocu-omu.repo.nii.ac.jp/records/2016854

    • Related Report
      2018 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Unidirectional evolution equations of diffusion type2019

    • Author(s)
      Goro Akagi and Masato Kimura
    • Journal Title

      Journal of Differential Equations

      Volume: 266 Issue: 1 Pages: 1-43

    • DOI

      10.1016/j.jde.2018.05.022

    • Related Report
      2018 Annual Research Report
    • Peer Reviewed
  • [Journal Article] On the maximizing problem associated with Sobolev type embeddings under inhomogeneous constraints2018

    • Author(s)
      Michinori Ishiwata, Hidemitsu Wadade
    • Journal Title

      Applicable Analysis (in press)

      Volume: in press Issue: 10 Pages: 1-19

    • DOI

      10.1080/00036811.2018.1491971

    • Related Report
      2019 Annual Research Report
    • Peer Reviewed / Open Access
  • [Journal Article] Existence and non-existence of maximizers for the Moser-Trudinger type inequalities under inhomogeneous constraints2018

    • Author(s)
      Norihisa Ikoma, Michinori Ishiwata, Hidemitsu Wadade
    • Journal Title

      Mathematische Annalen (in press)

      Volume: in press Issue: 1-2 Pages: 831-851

    • DOI

      10.1007/s00208-018-1709-5

    • Related Report
      2019 Annual Research Report
    • Peer Reviewed / Open Access
  • [Journal Article] Maximization of the total population in a reaction-diffusion model with logistic growth2018

    • Author(s)
      K. Nagahara and E. Yanagida
    • Journal Title

      Calc. Var. Partial Differential Equations

      Volume: 57, Art. 80 Issue: 3

    • DOI

      10.1007/s00526-018-1353-7

    • Related Report
      2018 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Asymptotic behavior of solutions to the logarithmic diffusion equation with a linear source2018

    • Author(s)
      M. Shimojo, P. Takac, E. Yanagida
    • Journal Title

      Mathematische Annalen

      Volume: 372 Issue: 1-2 Pages: 429-449

    • DOI

      10.1007/s00208-017-1604-5

    • Related Report
      2018 Annual Research Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] Higher dimensional moving singularities in a superlinear parabolic equation2018

    • Author(s)
      K. P. P. Htoo, J. Takahashi and E. Yanagida
    • Journal Title

      J. Evol. Equ.

      Volume: 18 Issue: 4 Pages: 1575-1593

    • DOI

      10.1007/s00028-018-0452-4

    • Related Report
      2018 Annual Research Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] On a weighted Trudinger-Moser type inequality on the whole space and related maximizing problem2018

    • Author(s)
      Van Hoang Nguyen and F. Takahashi
    • Journal Title

      Differential and Integral Equations

      Volume: 31

    • Related Report
      2018 Annual Research Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] Quantitative estimates on localized finite differences for the fractional Poisson problem, and applications to regularity and spectral stability2018

    • Author(s)
      Goro Akagi, Giulio Schimperna, Antonio Segatti and Laura V. Spinolo
    • Journal Title

      Communications in Mathematical Sciences

      Volume: 16 Issue: 4 Pages: 913-961

    • DOI

      10.4310/cms.2018.v16.n4.a2

    • Related Report
      2018 Annual Research Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] Elliptic-Regularization of Nonpotential Perturbations of Doubly-Nonlinear Flows of Nonconvex Energies: A Variational Approach2018

    • Author(s)
      Goro Akagi and Stefano Melchionna
    • Journal Title

      Journal of Convex Analysis

      Volume: 25

    • Related Report
      2018 Annual Research Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] Large time behavior of solutions of the heat equation with inverse square potential2018

    • Author(s)
      K. Ishige and A. Mukai
    • Journal Title

      Discrete Contin. Dyn. Syst.

      Volume: 38 Issue: 8 Pages: 4041-4069

    • DOI

      10.3934/dcds.2018176

    • Related Report
      2018 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Existence of solutions for a fractional semilinear parabolic equation with singular initial data2018

    • Author(s)
      K. Hisa and K. Ishige
    • Journal Title

      Nonlinear Anal.

      Volume: 175 Pages: 108-132

    • DOI

      10.1016/j.na.2018.05.011

    • Related Report
      2018 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Symmetry-breaking bifurcation for the Moore-Nehari differential equation.2018

    • Author(s)
      R. Kajikiya, I. Sim and S. Tanaka
    • Journal Title

      Nonlinear Differential Equations and Applications

      Volume: 25 Issue: 6 Pages: 1-22

    • DOI

      10.1007/s00030-018-0545-3

    • Related Report
      2018 Annual Research Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] A complete classification of bifurcation diagrams for a class of (p,q)-Laplace equations2018

    • Author(s)
      Kajikiya Ryuji, Sim Inbo, Tanaka Satoshi
    • Journal Title

      Journal of Mathematical Analysis and Applications

      Volume: 462 Issue: 2 Pages: 1178-1194

    • DOI

      10.1016/j.jmaa.2018.02.049

    • Related Report
      2018 Annual Research Report 2017 Annual Research Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] Weighted energy-dissipation approach to doubly-nonlinear problems on the half line2018

    • Author(s)
      Goro Akagi, Stefano Melchionna and Ulisse Stefanelli
    • Journal Title

      Journal of Evolution Equations

      Volume: 18 Issue: 1 Pages: 49-74

    • DOI

      10.1007/s00028-017-0390-6

    • Related Report
      2017 Annual Research Report
    • Peer Reviewed / Open Access / Int'l Joint Research
  • [Journal Article] Some improvements for a class of the Caffarelli-Kohn-Nirenberg inequalities2018

    • Author(s)
      M. Sano and F. Takahashi
    • Journal Title

      Differential and Integral Equations

      Volume: 31 Pages: 57-74

    • Related Report
      2017 Annual Research Report
    • Peer Reviewed / Open Access
  • [Journal Article] Non-uniqueness of Solutions of a Semilinear Heat Equation with Singular Initial Data2017

    • Author(s)
      Fila Marek、Matano Hiroshi、Yanagida Eiji
    • Journal Title

      Gurevich P., Hell J., Sandstede B., Scheel A. (eds) Patterns of Dynamics

      Volume: - Pages: 138-148

    • DOI

      10.1007/978-3-319-64173-7_9

    • ISBN
      9783319641720, 9783319641737
    • Related Report
      2017 Annual Research Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] Singular solutions of a superlinear parabolic equation with homogeneous Neumann boundary conditions2017

    • Author(s)
      Khin Phyu Phyu Htoo and E. Yanagida
    • Journal Title

      Nonlinear Analysis

      Volume: 151 Pages: 96-108

    • DOI

      10.1016/j.na.2016.11.015

    • Related Report
      2017 Annual Research Report
    • Peer Reviewed / Open Access / Int'l Joint Research
  • [Journal Article] Nondecreasing solutions to doubly nonlinear equations2017

    • Author(s)
      Goro Akagi and Ulisse Stefanelli
    • Journal Title

      Springer INdAM Series

      Volume: 22 Pages: 31-53

    • DOI

      10.1007/978-3-319-64489-9_2

    • ISBN
      9783319644882, 9783319644899
    • Related Report
      2017 Annual Research Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] Allen-Cahn equation with strong irreversibility2017

    • Author(s)
      Goro Akagi and Messoud Efendiev
    • Journal Title

      京都大学数理解析研究所講究録

      Volume: 2046 Pages: 69-88

    • Related Report
      2017 Annual Research Report
    • Open Access / Int'l Joint Research
  • [Journal Article] An exterior nonlinear elliptic problem with a dynamical boundary condition2017

    • Author(s)
      Marek Fila, Kazuhiro Ishige and Tatsuki Kawakami
    • Journal Title

      Rev. Mat. Complut.

      Volume: - Issue: 2 Pages: 281-312

    • DOI

      10.1007/s13163-017-0225-6

    • Related Report
      2017 Annual Research Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] Heat equation with a nonlinear boundary condition and growing initial data2017

    • Author(s)
      K. Ishige and R. Sato
    • Journal Title

      Differential Integral Equations

      Volume: 30 Pages: 481-504

    • Related Report
      2017 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Asymptotic expansions of solutions of fractional diffusion equations2017

    • Author(s)
      K. Ishige, T. Kawakami and H. Michihisa
    • Journal Title

      SIAM Journal on Mathematical Analysis

      Volume: 49 Issue: 3 Pages: 2167-2190

    • DOI

      10.1137/16m1101428

    • Related Report
      2017 Annual Research Report
    • Peer Reviewed / Open Access
  • [Journal Article] The heat kernel of a Schroedinger operator with inverse square potential2017

    • Author(s)
      K. Ishige, Y. Kabeya, E. Ouhabaz
    • Journal Title

      Proceedings of the London Mathematical Society

      Volume: 115 Issue: 2 Pages: 381-410

    • DOI

      10.1112/plms.12041

    • Related Report
      2017 Annual Research Report
    • Peer Reviewed / Open Access / Int'l Joint Research
  • [Journal Article] Blow-up set of type I blowing up solutions for nonlinear parabolic systems2017

    • Author(s)
      Fujishima Yohei、Ishige Kazuhiro、Maekawa Hiroki
    • Journal Title

      Mathematische Annalen

      Volume: 369 Issue: 3-4 Pages: 1491-1525

    • DOI

      10.1007/s00208-016-1498-7

    • Related Report
      2017 Annual Research Report
    • Peer Reviewed / Open Access
  • [Journal Article] A natural approach to the asymptotic mean value property for the p-Laplacian2017

    • Author(s)
      Ishiwata Michinori、Magnanini Rolando、Wadade Hidemitsu
    • Journal Title

      Calculus of Variations and Partial Differential Equations

      Volume: 56 Issue: 4 Pages: 56-97

    • DOI

      10.1007/s00526-017-1188-7

    • NAID

      120006343950

    • Related Report
      2017 Annual Research Report
    • Peer Reviewed / Open Access / Int'l Joint Research
  • [Journal Article] Hardy type inequalities in $L_p$ with sharp remainders2017

    • Author(s)
      N. Ioku, M. Ishiwata, T. Ozawa
    • Journal Title

      Journal of Inequalities and Applications

      Volume: - Issue: 1 Pages: 1-7

    • DOI

      10.1186/s13660-016-1271-1

    • Related Report
      2017 Annual Research Report
    • Peer Reviewed / Open Access
  • [Journal Article] Scale invariance structures of the critical and the subcritical Hardy inequalities and their improvements2017

    • Author(s)
      M. Sano and F. Takahashi
    • Journal Title

      Calculus of Variations and Partial Differential Equations

      Volume: 56 Issue: 3 Pages: 14-14

    • DOI

      10.1007/s00526-017-1166-0

    • Related Report
      2017 Annual Research Report
    • Peer Reviewed / Open Access
  • [Presentation] Traveling waves in the logarithmic diffusion equation with a bistable nonlinearity2022

    • Author(s)
      Eiji Yanagida
    • Organizer
      SIAM Conference on Analysis of Partial Differential Equations
    • Related Report
      2021 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Gradient flow theory for time-dependent energies and applications to nonlinear PDEs2022

    • Author(s)
      赤木 剛朗 , 田中 直樹
    • Organizer
      日本数学会 2022 年度年会実函数論分科会, 埼玉大学
    • Related Report
      2021 Annual Research Report
  • [Presentation] Space-time periodic homogenization for the porous medium equation with nonnegative initial data2022

    • Author(s)
      赤木 剛朗 , 岡 大将
    • Organizer
      日本数学会 2022 年度年会函数方程式論分科会, 埼玉大学
    • Related Report
      2021 Annual Research Report
  • [Presentation] On the uniqueness of positive radial solutions to superlinear elliptic equations in annuli2022

    • Author(s)
      Satoshi Tanaka
    • Organizer
      Differential Equations Day on ZOOM
    • Related Report
      2021 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] fringing fieldを考慮したMEMSモデルの定常解と安定性2022

    • Author(s)
      若狭 徹
    • Organizer
      第11回室蘭非線形数理研究会, 室蘭工業大学
    • Related Report
      2021 Annual Research Report
    • Invited
  • [Presentation] Improvements and generalizations of two Hardy type inequalities2022

    • Author(s)
      佐野 めぐみ
    • Organizer
      日韓共同研究集会 International Workshop on Nonlinear Elliptic Equations and Its Applications (Zoom)
    • Related Report
      2021 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] 調和移植とその関数不等式への応用2022

    • Author(s)
      佐野 めぐみ
    • Organizer
      OCAMI談話会, 大阪公立大学
    • Related Report
      2021 Annual Research Report
    • Invited
  • [Presentation] Improvements and generalizations of two Hardy type inequalities2022

    • Author(s)
      佐野 めぐみ
    • Organizer
      第23回北東数学解析研究会, 北海道大学
    • Related Report
      2021 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] 調和移植とその関数不等式への応用2022

    • Author(s)
      佐野 めぐみ
    • Organizer
      日本数学会2022年度年会 函数解析学分科会特別講演, 埼玉大学 (Zoom)
    • Related Report
      2021 Annual Research Report
    • Invited
  • [Presentation] On the heat equation with a dynamic singular potential2021

    • Author(s)
      Eiji Yanagida
    • Organizer
      PDEs and Probability Theory - beyond boundaries -
    • Related Report
      2021 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Solvability of the heat equation with a dynamic singular potential2021

    • Author(s)
      柳田 英二
    • Organizer
      応用解析研究会,早稲田大学
    • Related Report
      2021 Annual Research Report
    • Invited
  • [Presentation] Solvability of the heat equation with a dynamic Hardy-type potential2021

    • Author(s)
      Eiji Yanagida
    • Organizer
      Webinar on Evolution Equations and Dynamical Systems, Universidade de Sao Paulo
    • Related Report
      2021 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] On the heat equation with a dynamic singular potential2021

    • Author(s)
      Eiji Yanagida
    • Organizer
      NCTS Webinar on Nonlinear Evolutionary Dynamics
    • Related Report
      2021 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] On the heat equation with a dynamic singular potential2021

    • Author(s)
      柳田 英二
    • Organizer
      京都大学数理研研究集会(公開型),常微分方程式の定性的理論とその応用
    • Related Report
      2021 Annual Research Report
    • Invited
  • [Presentation] Pseudo-traveling wave decomposition of time-global solutions for semilinear parabolic equations2021

    • Author(s)
      Michinori Ishiwata
    • Organizer
      応用解析研究会, 早稲田大学西早稲田キャンパス
    • Related Report
      2021 Annual Research Report
    • Invited
  • [Presentation] Local well-posedness for some phase-field model of complete damage2021

    • Author(s)
      Goro Akagi
    • Organizer
      ' - 21st Conference of Continuum Mechanics Focusing on Singularities (CoMFoS21) (Zoom)
    • Related Report
      2021 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Rates of convergence to asymptotic profiles for fast diffusion2021

    • Author(s)
      赤木 剛朗
    • Organizer
      NLPDEセミナー, 京都大学大学院理学研究科数学専攻 (Zoom)
    • Related Report
      2021 Annual Research Report
    • Invited
  • [Presentation] Rates of convergence to asymptotic profiles for fast diffusion2021

    • Author(s)
      赤木 剛朗
    • Organizer
      第752回『応用解析』研究会, 早稲田大学
    • Related Report
      2021 Annual Research Report
    • Invited
  • [Presentation] Energy method for quantitative analysis of rates of convergence to asymptotic profiles for fast diffusion2021

    • Author(s)
      Goro Akagi
    • Organizer
      PDE Seminars, The Hong Kong University of Science and Technology (Zoom)
    • Related Report
      2021 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Rates of convergence to non-degenerate asymptotic profiles for fast diffusion via energy methods2021

    • Author(s)
      Goro Akagi
    • Organizer
      研究集会「発展方程式の広がり:理論的基礎から実践的応用まで」, 京都大学数理解析研究所 (Zoom)
    • Related Report
      2021 Annual Research Report
    • Invited
  • [Presentation] On some quasistatic evolution equation with irreversibility and energy-conservation2021

    • Author(s)
      赤木 剛朗, 佐藤 光汰朗
    • Organizer
      日本数学会 2021年度秋季総合分科会函数方程式論分科会, 千葉大学 (Zoom)
    • Related Report
      2021 Annual Research Report
  • [Presentation] Traveling wave dynamics for a one-dimensional constrained Allen-Cahn equation2021

    • Author(s)
      Goro Akagi
    • Organizer
      Asia-Pacific Analysis and PDE Seminar, The University of Sydney (Zoom)
    • Related Report
      2021 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Rates of convergence to non-degenerate asymptotic profiles for fast diffusion equations via an energy method2021

    • Author(s)
      Goro Akagi
    • Organizer
      BIRS-CMO Workshop “New Trends in Nonlinear Diffusion: a Bridge between PDEs, Analysis and Geometry'', Banff International ResearchStation for Mathematical Innovation and Discovery (BIRS)
    • Related Report
      2021 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] 非線形拡散方程式の解の漸近挙動について -発展方程式の立場から-2021

    • Author(s)
      赤木 剛朗
    • Organizer
      第42回発展方程式若手セミナー 特別講演 (Zoom)
    • Related Report
      2021 Annual Research Report
    • Invited
  • [Presentation] Traveling wave dynamics for constrained Allen-Cahn equations2021

    • Author(s)
      Goro Akagi
    • Organizer
      The 46th Sapporo Symposium on Partial Differential Equations, 北海道大学大学院理学研究院数学部門
    • Related Report
      2021 Annual Research Report
    • Invited
  • [Presentation] A framework for proving existence of local-energy solutions to doubly-nonlinear diffusion equations with growing initial data2021

    • Author(s)
      赤木 剛朗
    • Organizer
      応用数学セミナー, 東北大学大学院理学研究科数学専攻
    • Related Report
      2021 Annual Research Report
    • Invited
  • [Presentation] Multiplicity of positive even solutions to the one-dimensional Henon type equation on some very narrow possible parameter set2021

    • Author(s)
      Satoshi Tanaka
    • Organizer
      Differential Equations Day on ZOOM
    • Related Report
      2021 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Multiple existence of positive even function solutions for a two point boundary value problem on some very narrow possible parameter set2021

    • Author(s)
      渡辺 宏太郎, 田中 敏, 塩路 直樹
    • Organizer
      日本数学会 2021年度秋季総合分科会, 千葉大学(Zoom)
    • Related Report
      2021 Annual Research Report
  • [Presentation] 1次元 Henon 型方程式の正値対称解の多重存在2021

    • Author(s)
      田中 敏
    • Organizer
      第5回 精度保証付き数値計算の実問題への応用研究集会 (NVR 2021) (Zoom)
    • Related Report
      2021 Annual Research Report
    • Int'l Joint Research
  • [Presentation] 空間1次元MEMSモデルにおける定常解と安定性解析2021

    • Author(s)
      若狭 徹
    • Organizer
      第2回オンライン放物型偏微分方程式ワークショップ
    • Related Report
      2021 Annual Research Report
    • Invited
  • [Presentation] Weighted Hardy's inequality in a limiting case and the perturbed Kolmogorov equation2021

    • Author(s)
      佐野 めぐみ
    • Organizer
      PDEs and Probability Theory - beyond boundaries ? (Online)
    • Related Report
      2021 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] The critical Hardy inequality on the half-space via harmonic transplantation2021

    • Author(s)
      佐野 めぐみ
    • Organizer
      大阪大学微分方程式セミナー, 大阪大学
    • Related Report
      2021 Annual Research Report
    • Invited
  • [Presentation] The critical Hardy inequality on the half-space via harmonic transplantation2021

    • Author(s)
      佐野 めぐみ
    • Organizer
      楕円型・放物型微分方程式研究集会, 龍谷大学瀬田キャンパス(Zoom)
    • Related Report
      2021 Annual Research Report
    • Invited
  • [Presentation] 調和移植とその関数不等式への応用2021

    • Author(s)
      佐野 めぐみ
    • Organizer
      応用数理解析セミナー、東北大学(オンライン)
    • Related Report
      2021 Annual Research Report
    • Invited
  • [Presentation] Traveling wave dynamics for Allen-Cahn equations with strongly irreversible constraints2021

    • Author(s)
      Goro Akagi
    • Organizer
      Nancy-Tohoku online first pre-meeting
    • Related Report
      2020 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Qualitative space-time homogenization for the porous medium equation2021

    • Author(s)
      岡 大将(登壇者), 赤木 剛朗
    • Organizer
      日本数学会 2021 年度年会函数方程式分科会, 慶應義塾大学 (Zoom)
    • Related Report
      2020 Annual Research Report
  • [Presentation] Corrector results for space-time homogenization of nonlinear diffusion2021

    • Author(s)
      岡 大将(登壇者), 赤木 剛朗
    • Organizer
      日本数学会 2021 年度年会函数方程式分科会, 慶應義塾大学 (Zoom)
    • Related Report
      2020 Annual Research Report
  • [Presentation] On a perturbation theory for the planar quasilinear differential system and its application2021

    • Author(s)
      田中 敏
    • Organizer
      日本数学会 2021年度年会, 慶應義塾大学 (Zoom)
    • Related Report
      2020 Annual Research Report
  • [Presentation] On global bounds for semilinear parabolic problem with variable exponent touching the critical Sobolev exponent2020

    • Author(s)
      Michinori Ishiwata
    • Organizer
      Mini-workshop on Nonlinear Analysis
    • Related Report
      2020 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Perturbation of planar quasilinear differential systems and its application2020

    • Author(s)
      田中 敏
    • Organizer
      東北大学 応用数理解析セミナー
    • Related Report
      2020 Annual Research Report
    • Invited
  • [Presentation] 1次元 Henon方程式の正値対称解のモース指数と対称性破壊分岐について2020

    • Author(s)
      田中 敏
    • Organizer
      第4回 精度保証付き数値計算の実問題への応用研究集会 (NVR 2020)
    • Related Report
      2020 Annual Research Report
    • Invited
  • [Presentation] Improved Hardy inequalities2020

    • Author(s)
      佐野 めぐみ
    • Organizer
      第4回 Elliptic and Parabolic Zoom Seminar
    • Related Report
      2020 Annual Research Report
    • Invited
  • [Presentation] 臨界型レリッヒ不等式ついて2020

    • Author(s)
      佐野 めぐみ
    • Organizer
      茨城大学 金曜セミナー
    • Related Report
      2020 Annual Research Report
    • Invited
  • [Presentation] Singularities of solutions for the heat equation with a dynamic Hardy potential2020

    • Author(s)
      Eiji Yanagida
    • Organizer
      Qualitative properties for nonlinear diffusion equations, The University of Tokyo, Meguro, Tokyo, Japan
    • Related Report
      2019 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] On the heat equation with a dynamic Hardy-type potential2020

    • Author(s)
      Eiji Yanagida
    • Organizer
      第37回 九州における偏微分方程式研究集会(九州大学、福岡県福岡市)
    • Related Report
      2019 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Exponential stability of traveling waves for a constrained Allen-Cahn equation2020

    • Author(s)
      Goro Akagi
    • Organizer
      Qualitative properties for nonlinear diffusion equations, The University of Tokyo, Meguro, Tokyo, Japan
    • Related Report
      2019 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] On the profile decomposition of a volume functional2020

    • Author(s)
      Michinori Ishiwata
    • Organizer
      Variational analysis of critical problems on nonlinear partial differential equation, Osaka city university, Osaka, Japan
    • Related Report
      2019 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] 放物型偏微分方程式における動的特異点2019

    • Author(s)
      柳田英二
    • Organizer
      第7回偏微分方程式レクチャーシリーズ(福岡工業大学、福岡県福岡市)
    • Related Report
      2019 Annual Research Report
    • Invited
  • [Presentation] Traveling waves in the logarithmic diffusion equation with a reaction2019

    • Author(s)
      Eiji Yanagida
    • Organizer
      Modeling Biological Phenomena by Parabolic PDEs and their Analysis, Renmin University of China, China
    • Related Report
      2019 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] 線形および非線形熱方程式における動的特異点について2019

    • Author(s)
      柳田英二
    • Organizer
      第1回 非線型数理サマーセミナー(反応拡散方程式)(明治大学、東京都中野区)
    • Related Report
      2019 Annual Research Report
    • Invited
  • [Presentation] On the heat equation with a dynamic Hardy term2019

    • Author(s)
      Eiji Yanagida
    • Organizer
      4th Swiss-Japanese PDE Seminar, Osaka Prefecture University, Osaka, Japan
    • Related Report
      2019 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] 放物型偏微分方程式における動的特異点2019

    • Author(s)
      柳田英二
    • Organizer
      Okayama Workshop on Partial Differential Equations(津山商工会議所、岡山県津山市)
    • Related Report
      2019 Annual Research Report
    • Invited
  • [Presentation] Singular Solutions of Nonlinear Elliptic Equations with Potentials2019

    • Author(s)
      Eiji Yanagida
    • Organizer
      2019 International Workshop on PDEs and Its Applications, Jeju National University / Ramada Jeju City Hotel, Jeju, Korea
    • Related Report
      2019 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] On the heat equation with a dynamic Hardy term2019

    • Author(s)
      Eiji Yanagida
    • Organizer
      Singular Problems, Blow-up, and Regimes with Peaking in Nonlinear PDEs, Rudn University, Moscow, Russia
    • Related Report
      2019 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] On the heat equation with a dynamic Hardy-type term2019

    • Author(s)
      Eiji Yanagida
    • Organizer
      Workshop on Elliptic and Parabolic PDEs 2019, Ryukoku University , Ohtsu, Shiga, Japan
    • Related Report
      2019 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Fractional Cahn-Hilliard system and Lojasiewicz-Simon gradient inequality2019

    • Author(s)
      Goro Akagi
    • Organizer
      偏微分方程式セミナー(北海道大学、北海道札幌市)
    • Related Report
      2019 Annual Research Report
    • Invited
  • [Presentation] Traveling wave dynamics for the Allen-Cahn equation with non-decreasing constraint2019

    • Author(s)
      赤木 剛朗
    • Organizer
      九州函数方程式セミナー(福岡大学セミナーハウス、福岡県福岡市)
    • Related Report
      2019 Annual Research Report
    • Invited
  • [Presentation] Traveling wave dynamics for the Allen-Cahn equation with strong irreversibility2019

    • Author(s)
      赤木 剛朗
    • Organizer
      信州大学偏微分方程式研究集会(信州大学理学部、長野県松本市)
    • Related Report
      2019 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Traveling wave dynamics for the Allen-Cahn equation with non-decreasing constraint2019

    • Author(s)
      Goro Akagi
    • Organizer
      Oberseminar Analysis, Fakultat fur Mathematik, Technische Universitat, Dresden, Germany
    • Related Report
      2019 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Traveling wave dynamics for the Allen-Cahn equation with the positive-part function2019

    • Author(s)
      赤木 剛朗
    • Organizer
      研究集会「界面運動,力学系に現れる漸近問題への粘性解的手法とその周辺」(京都大学数理解析研究所、京都府京都市)
    • Related Report
      2019 Annual Research Report
    • Invited
  • [Presentation] Traveling wave dynamics for the Allen-Cahn equation with non-decreasing constraint2019

    • Author(s)
      Goro Akagi
    • Organizer
      Kanazawa workshop: Gradient flows and related topics: analysis and applications, Kanazawa University , Ishikawa, Japan
    • Related Report
      2019 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Traveling wave dynamics for the Allen-Cahn equation with non-decreasing constraint2019

    • Author(s)
      Goro Akagi
    • Organizer
      Mathematicsl Aspects of Surface and Interface Dynamics 18, The University of Tokyo, Meguro, Tokyo, Japan
    • Related Report
      2019 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] 単調成長を拘束条件に持つ勾配系について2019

    • Author(s)
      赤木 剛朗
    • Organizer
      Musashino Center of Mathematical Engineering Seminar 28(武蔵野大学有明キャンパス、東京都江東区)
    • Related Report
      2019 Annual Research Report
    • Invited
  • [Presentation] Fractional gradient flows in Hilbert spaces2019

    • Author(s)
      赤木 剛朗
    • Organizer
      第 702 回「応用解析」研究会(早稲田大学、東京都新宿区)
    • Related Report
      2019 Annual Research Report
    • Invited
  • [Presentation] Traveling wave dynamics for Allen-Cahn equations with non-decreasing constraints2019

    • Author(s)
      Goro Akagi
    • Organizer
      Chemotaxis and Nonlinear Parabolic Equations -In honor of Professor Takasi Senba on his 60th birthday-, Kitakyushu International Conference Center, Kokura, Fukuoka, Japan
    • Related Report
      2019 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Existence of solutions for a higher-order semi linear parabolic equation with singular initial data2019

    • Author(s)
      石毛和弘
    • Organizer
      Chemotaxis and Nonlinear Parabolic Equations -In honor of Professor Takasi Senba on his 60th birthday-, Kitakyushu International Conference Center, Kokura, Fukuoka, Japan
    • Related Report
      2019 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Sharp Hardy-Leray inequality for curl-free vector fields2019

    • Author(s)
      Futoshi Takahashi
    • Organizer
      大阪大学基礎工学研究科セミナー(Elide Terraneo 氏招聘)(大阪大学、大阪府豊中市)
    • Related Report
      2019 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Sharp Hardy-Leray inequality for curl-free vector fields2019

    • Author(s)
      Futoshi Takahashi
    • Organizer
      6th Italian-Japanese workshop on "Geometric Properties for Parabolic and Elliptic PDE's", Palazzone, Cortona, Italy
    • Related Report
      2019 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] A regularity result for the best constant function of the Sobolev embedding in BV2019

    • Author(s)
      Futoshi Takahashi
    • Organizer
      研究集会「偏微分方程式の臨界現象と正則性理論及び漸近解析」(京都大学数理解析研究所、京都府京都市)
    • Related Report
      2019 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] 有界変動関数空間におけるソボレフ最良定数関数の正則性2019

    • Author(s)
      高橋太
    • Organizer
      2019年度第1回数理科学談話会(室蘭工業大学、北海道室蘭市)
    • Related Report
      2019 Annual Research Report
    • Invited
  • [Presentation] 有界変動関数空間におけるソボレフ最良定数関数の正則性2019

    • Author(s)
      高橋太
    • Organizer
      東北大学理学部数学科談話会(東北大学、宮城県仙台市)
    • Related Report
      2019 Annual Research Report
    • Invited
  • [Presentation] Sharp Hardy-Leray inequalities for curl-free vector fields2019

    • Author(s)
      Futoshi Takahashi
    • Organizer
      1th Brazilian-Italian Workshop on Nonlinear Differential Equations, Varese, Italy
    • Related Report
      2019 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] 1次元 Henon 方程式の正値対称解のモース指数と対称性破壊分岐2019

    • Author(s)
      田中敏
    • Organizer
      東北大学 応用数理解析セミナー(東北大学、宮城県仙台市)
    • Related Report
      2019 Annual Research Report
    • Invited
  • [Presentation] Perturbations of half-linear differential systems and its application to quasilinear elliptic equations2019

    • Author(s)
      Satoshi Tanaka
    • Organizer
      DEA 2019: Dynamics, Equations and Applications, AGH University of Science and Technology , Krak?w, Poland
    • Related Report
      2019 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Perturbations of quasilinear differential systems2019

    • Author(s)
      Satoshi Tanaka
    • Organizer
      2019 International Workshop on Nonlinear PDEs and Its Applications, Jeju National University / Ramada Jeju City Hotel, Jeju, Korea
    • Related Report
      2019 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] An application of the profile-decomposition method to parabolic problems2019

    • Author(s)
      石渡通徳
    • Organizer
      第 699 回「応用解析」研究会(早稲田大学、東京都新宿区)
    • Related Report
      2019 Annual Research Report
    • Invited
  • [Presentation] Singular solutions of nonlinear elliptic equations with potential2019

    • Author(s)
      柳田英二
    • Organizer
      四ツ谷晶二先生ご退職記念研究集会、龍谷大学瀬田キャンパス、滋賀県
    • Related Report
      2018 Annual Research Report
    • Invited
  • [Presentation] monomial weight を持つ対数型 Sobolev 不等式について2019

    • Author(s)
      高橋 太
    • Organizer
      愛媛大学「解析セミナー」、愛媛県
    • Related Report
      2018 Annual Research Report
    • Invited
  • [Presentation] Sharp Hardy-Leray inequalities for curl-free vector fields2019

    • Author(s)
      F. Takahashi
    • Organizer
      AMS Spring Central and Western Joint Sectional Meeting SS44A "New Trends on Variational Calculus and Non-Linear Partial Differential Equations", University of Hawaii, Manoa, USA
    • Related Report
      2018 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] On global bounds of time-global solutions for semilinear parabolic problems with critical Sobolev exponent2019

    • Author(s)
      Michinori Ishiwata
    • Organizer
      Workshop Critical exponent and nonlinear evolution equations 2019、東京理科大学神楽坂キャンパス、東京都
    • Related Report
      2018 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] On time-global bounds for solutions for semilinear parabolic equation with variable critical exponent2019

    • Author(s)
      石渡通徳
    • Organizer
      第26回応用解析研究会シンポジウム、ホテル四季彩、神奈川県湯河原町
    • Related Report
      2018 Annual Research Report
  • [Presentation] Fractional gradient flows in Hilbert spaces2019

    • Author(s)
      Goro Akagi
    • Organizer
      AMS Spring Central and Western Joint Sectional Meeting SS44A "New Trends on Variational Calculus and Non-Linear Partial Differential Equations", University of Hawaii, Manoa, USA
    • Related Report
      2018 Annual Research Report
    • Int'l Joint Research
  • [Presentation] Partial energy-dissipation and smoothing effect for constrained Allen-Cahn equations2019

    • Author(s)
      Goro Akagi
    • Organizer
      Phase-Field Models of Fracture, Banff International Research Station for Mathematical Innovation and Discovery, BIRS, Banff, Canada
    • Related Report
      2018 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Fast Diffusion Equation and asymptotic profiles of solutions2019

    • Author(s)
      赤木剛朗
    • Organizer
      第8回室蘭非線形解析研究会、室蘭工業大学、北海道
    • Related Report
      2018 Annual Research Report
    • Invited
  • [Presentation] To logconcavity and beyond2019

    • Author(s)
      石毛和弘
    • Organizer
      AMS Spring Central and Western Joint Sectional Meeting SS44A "New Trends on Variational Calculus and Non-Linear Partial Differential Equations", University of Hawaii, Manoa, USA
    • Related Report
      2018 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Sign-changing solutions for a one-dimensional semilinear parabolic problem2018

    • Author(s)
      柳田英二
    • Organizer
      東京大学数理科学研究科応用解析セミナー、東京都
    • Related Report
      2018 Annual Research Report
  • [Presentation] Blow-up of sign-changing solutions for a one-dimensional nonlinear parabolic equations2018

    • Author(s)
      Eiji Yanagida
    • Organizer
      8th Euro-Japanese Workshop on Blow-up, Tohoku University, Miyagi
    • Related Report
      2018 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Dynamics of Hot Spots in the One-Dimensional Logarithmic Diffusion Equation2018

    • Author(s)
      Eiji Yanagida
    • Organizer
      The 12th AIMS Conference on Dynamical Systems, Differential Equations and Applications, SS47, National Taiwan University, Taipei, Taiwan
    • Related Report
      2018 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Maximization of the Total Population in a Reaction-Diffusion Model with Logistic Growth2018

    • Author(s)
      Eiji Yanagida
    • Organizer
      The 12th AIMS Conference on Dynamical Systems, Differential Equations and Applications, SS17, National Taiwan University, Taipei, Taiwan
    • Related Report
      2018 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Dynamic singularities in some parabolic partial differential equations I2018

    • Author(s)
      柳田英二
    • Organizer
      RIMS研究集会 Reaction Diffusion Equations--Analysis of propagation phenomena and singularity and its application to sciences, Kyoto University, Kyoto
    • Related Report
      2018 Annual Research Report
    • Invited
  • [Presentation] Dynamic singularities in some parabolic partial differential equations II2018

    • Author(s)
      柳田英二
    • Organizer
      RIMS研究集会 Reaction Diffusion Equations--Analysis of propagation phenomena and singularity and its application to sciences, Kyoto University, Kyoto
    • Related Report
      2018 Annual Research Report
    • Invited
  • [Presentation] Dynamic singularities in parabolic partial differential equations2018

    • Author(s)
      Eiji Yanagida
    • Organizer
      SEAMS SCHOOL 2018 on Partial Differential Equations and Their Applications, Mandalay University of Distance Education, Mandalay, Myanmar
    • Related Report
      2018 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Blow-up of sign-changing solutions for a one-dimensional nonlinear diffusion equation2018

    • Author(s)
      Eiji Yanagida
    • Organizer
      International Workshop on Nonlinear PDEs 2018 in Okayama - In honor of Professor Ryuji Kajikiya on his sixtieth birthday -, Okayama International Center, Okayama
    • Related Report
      2018 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Hardy's inequality in a limiting case on general bounded domains2018

    • Author(s)
      F. Takahashi
    • Organizer
      AMS Spring Shoutheastern Sectional Meeting Special Session "Partial Differential Equations and New Perspective of Variational Methods", Vanderbilt University, Nashville, USA
    • Related Report
      2018 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Hardy's inequality in a limiting case on general bounded domains2018

    • Author(s)
      F. Takahashi
    • Organizer
      UK-Japan Workshop on Analysis of Nonlinear Partial Differential Equations, Swansea University, Wales, UK
    • Related Report
      2018 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Critical and subcritical fractional Trudinger-Moser type inequalities on $\mathbb{R}$2018

    • Author(s)
      F. Takahashi
    • Organizer
      The 12th AIMS Conference on Dynamical Systems, Differential Equations and Applications, SS60, National Taiwan University, Taopei, Taiwan
    • Related Report
      2018 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Hardy's inequality in a limiting case on general bounded domains2018

    • Author(s)
      F. Takahashi
    • Organizer
      The 12th AIMS Conference on Dynamical Systems, Differential Equations and Applications, SS93, National Taiwan University, Taopei, Taiwan
    • Related Report
      2018 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Sharp Hardy-Leray and Rellich-Leray inequalities for curl-free vector fields2018

    • Author(s)
      F. Takahashi
    • Organizer
      PDEs and Mathematical Hydrodynamics: A conference in Honor of Vsevolod Alekseevich Solonnikov's 85'th Birthday, Euler International Mathematical Institute in St. Petersburg, Russia
    • Related Report
      2018 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] 一般有界領域上での臨界 Hardy 不等式について2018

    • Author(s)
      高橋太・Jaeyoung Byeon
    • Organizer
      日本数学会2018年度秋季総合分科会、岡山大学、岡山県
    • Related Report
      2018 Annual Research Report
  • [Presentation] curl-free ベクトル場に対する Hardy-Leray 及び Rellich-Leray 不等式について2018

    • Author(s)
      濱本直樹・高橋太
    • Organizer
      日本数学会2018年度秋季総合分科会、岡山大学、岡山県
    • Related Report
      2018 Annual Research Report
  • [Presentation] Bounds of Sobolev norm for solutions of semiliner parabolic equations with critical Sobolev exponent2018

    • Author(s)
      Michinori Ishiwata
    • Organizer
      UK-Japan Workshop on Analysis of Nonlinear Partial Differential Equations, Swansea University, Wales, UK
    • Related Report
      2018 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] On the bounds of the Sobolev norm for solutions of semilinear parabolic problems with critical Sobolev exponent2018

    • Author(s)
      Michinori Ishiwata
    • Organizer
      8th Euro-Japanese Workshop on Blow-up, Tohoku University, Miyagi
    • Related Report
      2018 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] On the soliton-resolution of time-global solutions for the energy critical heat equation2018

    • Author(s)
      Michinori Ishiwata
    • Organizer
      京都大学NLPDEセミナー、京都大学、京都府
    • Related Report
      2018 Annual Research Report
  • [Presentation] On global bounds for Sobolev norms of time global solutions of parabolic problem involving critical Sobolev exponent2018

    • Author(s)
      Michinori Ishiwata
    • Organizer
      The 12th AIMS Conference on Dynamical Systems, Differential Equations and Applications, SS29, National Taiwan University, Taopei, Taiwan
    • Related Report
      2018 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] On the compactness of the Sobolev embedding involving variable exponent2018

    • Author(s)
      Michinori Ishiwata
    • Organizer
      The 12th AIMS Conference on Dynamical Systems, Differential Equations and Applications, SS102, National Taiwan University, Taopei, Taiwan
    • Related Report
      2018 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] On the soliton decomposition associated with the energy critical heat equation2018

    • Author(s)
      石渡通徳
    • Organizer
      社会現象と生命動態に関する偏微分方程式、大阪大学数理・データ科学教育研究センター、大阪府
    • Related Report
      2018 Annual Research Report
    • Invited
  • [Presentation] On the soliton decomposition of solutions for the energy critical parabolic equation2018

    • Author(s)
      Michinori Ishiwata
    • Organizer
      Theoretical Developments to Phenomenon Analyses based on Nonlinear Evolution Equations, RIMS, Kyoto University, Kyoto
    • Related Report
      2018 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Fast Diffusion 方程式とその解の漸近形について2018

    • Author(s)
      赤木剛朗
    • Organizer
      大岡山談話会、東京工業大学理学院数学系、東京都
    • Related Report
      2018 Annual Research Report
    • Invited
  • [Presentation] Asymptotic behavior of solutions to an Allen-Cahn type equation with a non-decreasing constraint2018

    • Author(s)
      Goro Akagi
    • Organizer
      International Workshop on Nonlinear PDEs 2018 in Okayama - In honor of Professor Ryuji Kajikiya on his sixtieth birthday -, Okayama International Center, Okayama
    • Related Report
      2018 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Allen-Cahn equation with non-decreasing constraint in unbounded domains2018

    • Author(s)
      Goro Akagi
    • Organizer
      名古屋微分方程式セミナー、名古屋大学大学院多元数理研究科、愛知県
    • Related Report
      2018 Annual Research Report
    • Invited
  • [Presentation] 拘束条件付き Allen-Cahn 方程式に由来する自由境界値問題について2018

    • Author(s)
      赤木剛朗
    • Organizer
      研究集会「芝浦工大における微分方程式セミナー」、芝浦工業大学大宮キャンパス、埼玉県
    • Related Report
      2018 Annual Research Report
  • [Presentation] Convergence of solutions for fractional Cahn-Hilliard systems2018

    • Author(s)
      Goro Akagi
    • Organizer
      The 12th AIMS Conference on Dynamical Systems, Differential Equations and Applications, SS127, National Taiwan University, Taipei, Taiwan
    • Related Report
      2018 Annual Research Report
    • Int'l Joint Research
  • [Presentation] Partial energy-dissipation and smoothing effect for constrained Allen-Cahn equations2018

    • Author(s)
      Goro Akagi
    • Organizer
      The 12th AIMS Conference on Dynamical Systems, Differential Equations and Applications, SS15, National Taiwan University, Taipei, Taiwan
    • Related Report
      2018 Annual Research Report
    • Int'l Joint Research
  • [Presentation] Stability analysis of asymptotic profiles for fast diffusion2018

    • Author(s)
      Goro Akagi
    • Organizer
      Workshop on Nonlinear Parabolic PDEs, Institut Mittag-Leffler, Stockholm, Sweden
    • Related Report
      2018 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Convergence of solutions for fractional Cahn-Hilliard systems2018

    • Author(s)
      Goro Akagi
    • Organizer
      8th Euro-Japanese Workshop on Blow-up, Tohoku University, Miyagi
    • Related Report
      2018 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Allen-Cahn equation with a non-decreasing constraint2018

    • Author(s)
      Goro Akagi
    • Organizer
      UK-Japan Workshop on Analysis of Nonlinear Partial Differential Equations, Swansea University, Wales, UK
    • Related Report
      2018 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] A supercritical scalar field equation with a forcing term2018

    • Author(s)
      石毛和弘
    • Organizer
      偏微分方程式の解の形状解析、京都大学数理解析研究所、京都府
    • Related Report
      2018 Annual Research Report
    • Invited
  • [Presentation] To logconcavity and beyond2018

    • Author(s)
      石毛和弘
    • Organizer
      Viscosity Solutions and Related Topics, Tohoku University, Miyagi
    • Related Report
      2018 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Symmetry-breaking bifurcation of positive solutions to the Moore-Nehari differential equation2018

    • Author(s)
      田中敏
    • Organizer
      日本数学会2018年度秋季総合分科会、岡山大学、岡山県
    • Related Report
      2018 Annual Research Report
  • [Presentation] Moore-Nehari 方程式の対称性破壊分岐2018

    • Author(s)
      田中敏
    • Organizer
      研究集会「芝浦工大における微分方程式セミナー」、芝浦工業大学大宮キャンパス、埼玉県
    • Related Report
      2018 Annual Research Report
  • [Presentation] Dynamics of interfaces in the Fisher-KPP equation for slowly decaying initial data2018

    • Author(s)
      Eiji Yanagida
    • Organizer
      The Third International Conference on the Dynamics of Differential Equations, Fundamentals and Developments--In Memory of Professor Jack K. Hale
    • Related Report
      2017 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Fractional flows driven by subdifferentials2018

    • Author(s)
      Goro Akagi
    • Organizer
      Seminario di Matematica Applicata, IMATI-CNR di Pavia
    • Related Report
      2017 Annual Research Report
    • Invited
  • [Presentation] Fractional flows driven by subdifferentials2018

    • Author(s)
      Goro Akagi
    • Organizer
      Universita degli studi di Trento
    • Related Report
      2017 Annual Research Report
    • Invited
  • [Presentation] Evolution equations with nondecreasing constraint2018

    • Author(s)
      Goro Akagi
    • Organizer
      Workshop "Trends in Variational Evolution'"
    • Related Report
      2017 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Evolution equations with nondecreasing constraint2018

    • Author(s)
      Goro Akagi
    • Organizer
      Seminar der Lehlstuhl M6, TU Munchen
    • Related Report
      2017 Annual Research Report
    • Invited
  • [Presentation] The Cauchy problem for the Finsler heat equation2018

    • Author(s)
      Kazuhiro Ishige
    • Organizer
      Metrics and Measures
    • Related Report
      2017 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] 重み付き全空間型 Trudinger-Moser 不等式と関連する最大化問題2018

    • Author(s)
      高橋太
    • Organizer
      広島大学「HMAセミナー・冬の研究会」
    • Related Report
      2017 Annual Research Report
    • Invited
  • [Presentation] Characteristic equation for autonomous planar half-linear differential systems2018

    • Author(s)
      田中敏, 鬼塚政一
    • Organizer
      2018年度日本数学会年会
    • Related Report
      2017 Annual Research Report
  • [Presentation] Box dimension of solution curves for a class of two-dimensional linear differential systems2018

    • Author(s)
      鬼塚政一, 田中敏
    • Organizer
      2018年度日本数学会年会
    • Related Report
      2017 Annual Research Report
  • [Presentation] A complete classification of bifurcation diagrams for a class of (p,q)-Laplace equations2018

    • Author(s)
      梶木屋龍治, I. Sim , 田中敏
    • Organizer
      2018年度日本数学会年会
    • Related Report
      2017 Annual Research Report
  • [Presentation] Extinction behavior of solutions of the logarithmic diffusion equation2017

    • Author(s)
      Eiji Yanagida
    • Organizer
      The 42nd Sapporo Symposium on Partial Differential Equations
    • Related Report
      2017 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Traveling waves in fast diffusion systems2017

    • Author(s)
      Eiji Yanagida
    • Organizer
      Equadiff 2017
    • Related Report
      2017 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Dynamics of interfaces in the Fisher-KPP equation2017

    • Author(s)
      Eiji Yanagida
    • Organizer
      International Workshop on Nonlinear Elliptic and Parabolic PDEs
    • Related Report
      2017 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Extinction of solutions for the logarithmic diffusion equation2017

    • Author(s)
      Eiji Yanagida
    • Organizer
      International Conference on Elliptic and Parabolic Problems
    • Related Report
      2017 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Dynamics of solutions of the Fisher-KPP equation for slowly decaying initial data2017

    • Author(s)
      Eiji Yanagida
    • Organizer
      5th Italian-Japanese Workshop on Geometric Properties for Parabolic and Elliptic PDE's
    • Related Report
      2017 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Dynamics of interfaces in the Fisher-KPP equation2017

    • Author(s)
      Eiji Yanagida
    • Organizer
      The 13th international workshop on differential equations
    • Related Report
      2017 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] 非線形拡散系のダイナミクス - 漸近安定性とバタフライ効果 -2017

    • Author(s)
      柳田 英二
    • Organizer
      日本数学会2017年度秋季総合分科会企画特別講演
    • Related Report
      2017 Annual Research Report
    • Invited
  • [Presentation] Evolution equations arising from non-standard irreversible models2017

    • Author(s)
      Goro Akagi
    • Organizer
      Dresdner Mathematisches Seminar, TU Dresden
    • Related Report
      2017 Annual Research Report
    • Invited
  • [Presentation] Stability analysis of asymptotic profiles for fast diffusion2017

    • Author(s)
      Goro Akagi
    • Organizer
      Oberseminar Analysis, TU Dresden
    • Related Report
      2017 Annual Research Report
    • Invited
  • [Presentation] Fractional variant of the Brezis-Komura theory and perspectives2017

    • Author(s)
      赤木剛朗
    • Organizer
      研究集会「分数冪拡散方程式の漸近解析とその周辺」
    • Related Report
      2017 Annual Research Report
    • Invited
  • [Presentation] Partial smoothing effect and energy-dissipation for an Allen-Cahn equation with non-decreasing constraint2017

    • Author(s)
      赤木剛朗
    • Organizer
      第134回熊本大学応用解析セミナー
    • Related Report
      2017 Annual Research Report
    • Invited
  • [Presentation] Partial smoothing and energy-dissipation of a constrained Allen-Cahn equation2017

    • Author(s)
      赤木剛朗
    • Organizer
      岐阜数理科学セミナー
    • Related Report
      2017 Annual Research Report
    • Invited
  • [Presentation] Gradient inequality and application to stability analysis of asymptotic profiles for fast diffusion2017

    • Author(s)
      赤木剛朗
    • Organizer
      明治非線型数理セミナー
    • Related Report
      2017 Annual Research Report
    • Invited
  • [Presentation] Allen-Cahn equation with non-decreasing constraint2017

    • Author(s)
      赤木剛朗
    • Organizer
      金沢解析セミナー
    • Related Report
      2017 Annual Research Report
    • Invited
  • [Presentation] Stability analysis of asymptotic profiles for fast diffusion2017

    • Author(s)
      赤木剛朗
    • Organizer
      第11回弘前解析セミナー
    • Related Report
      2017 Annual Research Report
    • Invited
  • [Presentation] 勾配不等式とその応用について2017

    • Author(s)
      赤木剛朗
    • Organizer
      岩手数理科学セミナー
    • Related Report
      2017 Annual Research Report
    • Invited
  • [Presentation] An application of gradient inequalities to stability analysis for asymptotic profiles of fast diffusion2017

    • Author(s)
      Goro Akagi
    • Organizer
      International Conference on Elliptic and Parabolic Problems
    • Related Report
      2017 Annual Research Report
    • Int'l Joint Research
  • [Presentation] Large time behavior of solutions of the heat equation with inverse square potential2017

    • Author(s)
      Kazuhiro Ishige
    • Organizer
      第 7 回弘前非線形方程式研究会
    • Related Report
      2017 Annual Research Report
    • Invited
  • [Presentation] Large time behavior of solutions of the heat equation with inverse square potential2017

    • Author(s)
      Kazuhiro Ishige
    • Organizer
      Geometric aspects of PDE’s, Palazzo Nonfinito, Firenze
    • Related Report
      2017 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Asymptotic expansions of solutions of fractional diffusion equations2017

    • Author(s)
      Kazuhiro Ishige
    • Organizer
      Equadiff 2017 Minisymposium “Asymptotic analysis of nonlinear parabolic equations”
    • Related Report
      2017 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Finsler heat equation with growing initial data2017

    • Author(s)
      Kazuhiro Ishige
    • Organizer
      5th Italian-Japanese workshop on geometric properties for parabolic and elliptic PDE’s
    • Related Report
      2017 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] On the existence of global bounds of Sobolev norms for time global solutions of parabolic equation involving critical Sobolev exponent2017

    • Author(s)
      Michinori Ishiwata
    • Organizer
      GEOMETRIC ASPECTS OF PDE'S
    • Related Report
      2017 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] On the time-global bounds of Sobolev norms of global solutions of parabolic equation involving critical Sobolev exponent2017

    • Author(s)
      Michinori Ishiwata
    • Organizer
      X Workshop on Nonlinear Differential Equations
    • Related Report
      2017 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Critical and subcritical fractional Trudinger-Moser type inequalities on $\mathbb{R}$2017

    • Author(s)
      高橋太
    • Organizer
      第152回「神楽坂解析セミナー」
    • Related Report
      2017 Annual Research Report
    • Invited
  • [Presentation] Critical and subcritical fractional Trudinger-Moser type inequalities on $\mathbb{R}$2017

    • Author(s)
      高橋太
    • Organizer
      北海道大学「偏微分方程式セミナー」
    • Related Report
      2017 Annual Research Report
    • Invited
  • [Presentation] Critical and subcritical fractional Trudinger-Moser type inequalities on $\mathbb{R}$2017

    • Author(s)
      F. Takahashi
    • Organizer
      Universita degli Studi di Napoli Federico II, Analysis Seminar
    • Related Report
      2017 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Critical and subcritical fractional Trudinger-Moser type inequalities on $\mathbb{R}$2017

    • Author(s)
      F. Takahashi
    • Organizer
      The 10th Workshop on Nonlinear Differential Equations (Xth WNDE)
    • Related Report
      2017 Annual Research Report
    • Int'l Joint Research / Invited
  • [Book] 数学のとびら-解析入門2022

    • Author(s)
      柳田 英二
    • Total Pages
      260
    • Publisher
      裳華房
    • ISBN
      9784785312084
    • Related Report
      2021 Annual Research Report
  • [Book] 理工系学生のための微分方程式2021

    • Author(s)
      岡山 友昭,佐藤 好久,田上 真,若狭 徹,廣瀬 英雄
    • Total Pages
      181
    • Publisher
      培風館
    • ISBN
      9784563011581
    • Related Report
      2021 Annual Research Report
  • [Book] 大学院数学レクチャーノートシリーズ TML40 「反応拡散方程式の進行波について」2020

    • Author(s)
      記述: 岡大将, 桐原一哲, 佐藤龍一, 三宅庸仁 / 監修: 赤木剛朗
    • Total Pages
      50
    • Publisher
      東北大学大学院理学研究科数学専攻
    • Related Report
      2019 Annual Research Report
  • [Book] Introduction to Calculus in English 英語で学ぶ微分積分学2019

    • Author(s)
      J. Brezina, 柳田英二
    • Total Pages
      278
    • Publisher
      裳華房
    • ISBN
      4785306416
    • Related Report
      2019 Annual Research Report
  • [Funded Workshop] 4th Swiss-Japanese PDE Seminar at Osaka, Modeling Biological Phenomena by Parabolic PDEs and their Analysis2019

    • Related Report
      2019 Annual Research Report
  • [Funded Workshop] International Workshop on Nonlinear PDEs 2018 in Okayama2018

    • Related Report
      2018 Annual Research Report
  • [Funded Workshop] The Third International Conference on the Dynamics of Differential Equations, Fundamentals and Developments--In Memory of Professor Jack K. Hale2018

    • Related Report
      2017 Annual Research Report

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Published: 2017-04-28   Modified: 2024-01-30  

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