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Geometry of solutions of partial differential equations and the inverse problems accompanied by it

Research Project

Project/Area Number 26287020
Research Category

Grant-in-Aid for Scientific Research (B)

Allocation TypePartial Multi-year Fund
Section一般
Research Field Mathematical analysis
Research InstitutionTohoku University

Principal Investigator

SAKAGUCHI SHIGERU  東北大学, 情報科学研究科, 教授 (50215620)

Co-Investigator(Kenkyū-buntansha) 倉田 和浩  首都大学東京, 理工学研究科, 教授 (10186489)
川上 竜樹  龍谷大学, 理工学部, 准教授 (20546147)
宮本 安人  東京大学, 大学院数理科学研究科, 准教授 (90374743)
池畠 優  広島大学, 工学(系)研究科(研究院), 教授 (90202910)
Co-Investigator(Renkei-kenkyūsha) ISHIGE Kazuhiro  東京大学, 大学院数理科学研究科, 教授 (90272020)
MIKAMI Toshio  津田塾大学, 学芸学部, 教授 (70229657)
MISAWA Masashi  熊本大学, 大学院自然科学研究科, 教授 (40242672)
Research Collaborator CAVALLINA Lorenzo  東北大学, 大学院情報科学研究科, D3
Project Period (FY) 2014-04-01 – 2018-03-31
Project Status Completed (Fiscal Year 2017)
Budget Amount *help
¥16,380,000 (Direct Cost: ¥12,600,000、Indirect Cost: ¥3,780,000)
Fiscal Year 2017: ¥4,160,000 (Direct Cost: ¥3,200,000、Indirect Cost: ¥960,000)
Fiscal Year 2016: ¥3,900,000 (Direct Cost: ¥3,000,000、Indirect Cost: ¥900,000)
Fiscal Year 2015: ¥4,290,000 (Direct Cost: ¥3,300,000、Indirect Cost: ¥990,000)
Fiscal Year 2014: ¥4,030,000 (Direct Cost: ¥3,100,000、Indirect Cost: ¥930,000)
Keywords熱拡散方程式 / 不変等温面 / 複合媒質 / 不変等熱流面 / 反応拡散方程式 / 半線形楕円型方程式 / 囲い込み法 / 逆問題 / 反応拡散系 / 物体内空洞逆問題 / 関数方程式論 / 解析学 / 幾何学 / 実関数論 / 数理物理 / 非線形シュレディンガー方程式 / アレンカーン型方程式 / 漸近展開理論 / 優臨界楕円型方程式 / 導電場方程式 / 中性導体 / 同心球 / 非線形放物型方程式 / エネルギー最小解 / 拡散方程式 / 円柱面 / 領域の幾何 / 国際研究者交流 / イタリア:スペイン:韓国
Outline of Final Research Achievements

We studied mainly the relationship between the behavior of solutions and the geometry of domains in the problems widely described by partial differential equations from the point of view of inverse problems. First, the topology of unbounded stationary isothermic surfaces in Euclidean 3-space was completely determined, and the almost complete characterization of the hyperplanes and the circular cylinders involving a stationary isothermic surface was obtained. Secondly, in the conductivity equation over composite media in Euclidean 3-space, we succeeded in characterizing the concentric balls by means of the neutral conductors without any influence on outside uniform electric fields. Thirdly, in the heat equation over composite media we obtained the characterization of the concentric balls involving either a stationary isothermic surface or a surface with the constant heat flow property among two-phase heat conductors.

Report

(5 results)
  • 2017 Annual Research Report   Final Research Report ( PDF )
  • 2016 Annual Research Report
  • 2015 Annual Research Report
  • 2014 Annual Research Report
  • Research Products

    (144 results)

All 2018 2017 2016 2015 2014 Other

All Int'l Joint Research (4 results) Journal Article (39 results) (of which Int'l Joint Research: 7 results,  Peer Reviewed: 39 results,  Open Access: 8 results,  Acknowledgement Compliant: 12 results) Presentation (91 results) (of which Int'l Joint Research: 44 results,  Invited: 52 results) Book (1 results) Remarks (1 results) Funded Workshop (8 results)

  • [Int'l Joint Research] Firenze 大学(イタリア)

    • Related Report
      2017 Annual Research Report
  • [Int'l Joint Research] Inha 大学(韓国)

    • Related Report
      2017 Annual Research Report
  • [Int'l Joint Research] フィレンツェ大学(イタリア)

    • Related Report
      2016 Annual Research Report
  • [Int'l Joint Research] Inha University(韓国)

    • Related Report
      2015 Annual Research Report
  • [Journal Article] Two-phase heat conductors with a stationary isothermic surface and their related elliptic overdetermined problems2018

    • Author(s)
      Shigeru Sakaguchi
    • Journal Title

      数理解析研究所講究録別冊

      Volume: 印刷中

    • Related Report
      2017 Annual Research Report
    • Peer Reviewed
  • [Journal Article] A limit equation and bifurcation diagrams for semilinear elliptic equations with general supercritical growth2018

    • Author(s)
      Yasuhito Miyamoto
    • Journal Title

      Journal of Differential Equations

      Volume: 264 Issue: 4 Pages: 2684-2707

    • DOI

      10.1016/j.jde.2017.10.034

    • Related Report
      2017 Annual Research Report
    • Peer Reviewed
  • [Journal Article] On finding a cavity in a thermoelastic body using a single displacement measurement over a finite time interval on the surface of the body2018

    • Author(s)
      Masaru Ikehata
    • Journal Title

      J. Inverse Ill-Posed Problems

      Volume: 印刷中 Issue: 3 Pages: 369-394

    • DOI

      10.1515/jiip-2017-0066

    • Related Report
      2017 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Locally optimal configurations for the two-phase torsion problem in the ball2017

    • Author(s)
      Lorenzo Cavallina
    • Journal Title

      Nonlinear Analysis

      Volume: 162 Pages: 33-48

    • DOI

      10.1016/j.na.2017.06.005

    • Related Report
      2017 Annual Research Report
    • Peer Reviewed
  • [Journal Article] On a Variational Problem Arising from the Three-component FitzHugh-Nagumo Type Reaction-Diffusion Systems2017

    • Author(s)
      Takashi Kajiwara and Kazuhiro Kurata
    • Journal Title

      Tokyo J. Math.

      Volume: 40

    • Related Report
      2016 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Asymptotic behavior and decay estimates of the solutions for a nonlinear parabolic equation with exponential nonlinearity2017

    • Author(s)
      Giulia Furioli, Tatsuki Kawakami, Bernhard Ruf and Elide Terraneo
    • Journal Title

      J. Differential Equations

      Volume: 262 Issue: 1 Pages: 145-180

    • DOI

      10.1016/j.jde.2016.09.024

    • Related Report
      2016 Annual Research Report
    • Peer Reviewed / Open Access / Int'l Joint Research
  • [Journal Article] Existence of mild solutions for a Hamilton-Jacobi equation with critical fractional viscosity in the Besov spaces2017

    • Author(s)
      Tsukasa Iwabuchi and Tatsuki Kawakami
    • Journal Title

      J. Math. Pures Appl.

      Volume: 107 Issue: 4 Pages: 464-489

    • DOI

      10.1016/j.matpur.2016.07.007

    • Related Report
      2016 Annual Research Report
    • Peer Reviewed / Open Access
  • [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
      2016 Annual Research Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] Asymptotic expansions of solutions of fractional diffusion equations2017

    • Author(s)
      Kazuhiro Ishige, Tatsuki Kawakami and Hironori Michihisa
    • Journal Title

      SIAM J. Math. Anal.

      Volume: -

    • Related Report
      2016 Annual Research Report
    • Peer Reviewed
  • [Journal Article] On finding an obstacle with the Leontovich boundary condition via the time domain enclosure method2017

    • Author(s)
      Masaru Ikehata
    • Journal Title

      Inverse Problems and Imaging

      Volume: 11 Issue: 1 Pages: 99-123

    • DOI

      10.3934/ipi.2017006

    • Related Report
      2016 Annual Research Report
    • Peer Reviewed / Open Access / Acknowledgement Compliant
  • [Journal Article] A remark on finding the coefficient of the dissipative boundary condition via the enclosure method in the time domain2017

    • Author(s)
      Masaru Ikehata
    • Journal Title

      Math. Mech. Appl. Sci.

      Volume: 40 Issue: 4 Pages: 915-927

    • DOI

      10.1002/mma.4021

    • Related Report
      2016 Annual Research Report
    • Peer Reviewed
  • [Journal Article] The enclosure method for inverse obstacle scattering over a finite time interval: IV. Extraction from a single point on the graph of the response operator2017

    • Author(s)
      Masaru Ikehata
    • Journal Title

      J. Inverse and Ill-Posed Problems

      Volume: -

    • Related Report
      2016 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Asymptotic behaviour of the solutions for the Laplace equation with a large spectral parameter and the inhomogeneous Robin type conditions2017

    • Author(s)
      Masaru Ikehata and Mishio Kawashita
    • Journal Title

      Osaka J. Math.

      Volume: -

    • Related Report
      2016 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Generalized Joseph-Lundgren exponent and intersection properties for supercritical elliptic equations2017

    • Author(s)
      Y. Miyamoto, and K. Takahashi
    • Journal Title

      Arch. Math. (Basel)

      Volume: 108 Issue: 1 Pages: 71-83

    • DOI

      10.1007/s00013-016-0969-0

    • Related Report
      2016 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Infinitely many nonradial singular solutions of $\Delta u+e^u=0$ in $\mathbb{R}\backslash \{0\}$, 4<=N<=102017

    • Author(s)
      Yasuhito Miyamoto
    • Journal Title

      Proceedings of the Royal Society of Edinburgh, Section: A Mathematics

      Volume: -

    • Related Report
      2016 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Two-phase heat conductors with a stationary isothermic surface2016

    • Author(s)
      Shigeru Sakaguchi
    • Journal Title

      Rend. Istit. Mat. Univ. Trieste

      Volume: 48

    • DOI

      10.13137/2464-8728/13155

    • Related Report
      2016 Annual Research Report
    • Peer Reviewed / Open Access / Acknowledgement Compliant
  • [Journal Article] Higher order asymptotic expansions to the solutions for a nonlinear damped wave equation2016

    • Author(s)
      Tatsuki Kawakami and Hiroshi Takeda
    • Journal Title

      Nonlinear Differ. Equ. Appl.

      Volume: 23 Issue: 5 Pages: 1-30

    • DOI

      10.1007/s00030-016-0408-8

    • Related Report
      2016 Annual Research Report
    • Peer Reviewed
  • [Journal Article] An over-determined boundary value problem arising from neutrally coated inclusions in three dimensions2016

    • Author(s)
      Hyeonbae Kang, Hyundae Lee, and Shigeru Sakaguchi
    • Journal Title

      Annali della Scuola Normale Superiore di Pisa, Classe di Scienze

      Volume: 印刷中 Pages: 1193-1208

    • DOI

      10.2422/2036-2145.201502_010

    • Related Report
      2015 Annual Research Report
    • Peer Reviewed / Int'l Joint Research / Acknowledgement Compliant
  • [Journal Article] Asymptotic behavior of eigenvalues of the Laplacian on a thin domain under the mixed boundary condition2016

    • Author(s)
      Shuichi Jimbo and Kazuhiro Kurata
    • Journal Title

      Indiana University Mathematics Journal

      Volume: 印刷中

    • Related Report
      2015 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Uniqueness theorem on weak solutions to the Keller-Segel system of degenerate and singular types2016

    • Author(s)
      T.Kawakami; Y.Sugiyama
    • Journal Title

      J. Differential Equations

      Volume: 260 Issue: 5 Pages: 4683-4716

    • DOI

      10.1016/j.jde.2015.11.021

    • Related Report
      2015 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Minimal solutions of a semilinear elliptic equation with a dynamical boundary condition2016

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

      Journal de Mathematiques Pures et Appliquees

      Volume: 印刷中 Issue: 6 Pages: 788-809

    • DOI

      10.1016/j.matpur.2015.11.014

    • Related Report
      2015 Annual Research Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] Supersolutions for a class of nonlinear parabolic systems2016

    • Author(s)
      Kazuhiro Ishige, Tatsuki Kawakami and Nikolaj Sierzega
    • Journal Title

      J. Differential Equations

      Volume: 260 Issue: 7 Pages: 6084-6107

    • DOI

      10.1016/j.jde.2015.12.031

    • Related Report
      2015 Annual Research Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] The enclosure method for inverse obstacle scattering using a single electromagnetic wave in time domain2016

    • Author(s)
      Masaru Ikehata
    • Journal Title

      Inverse Problems and Imaging

      Volume: 10 Issue: 1 Pages: 131-163

    • DOI

      10.3934/ipi.2016.10.131

    • Related Report
      2015 Annual Research Report
    • Peer Reviewed / Open Access / Acknowledgement Compliant
  • [Journal Article] Intersection properties of radial solutions and global bifurcation diagrams for supercritical quasilinear elliptic equations2016

    • Author(s)
      Yasuhito Miyamoto
    • Journal Title

      NoDEA Nonlinear Differential Equations Applications

      Volume: 23 Issue: 2 Pages: 1-24

    • DOI

      10.1007/s00030-016-0359-0

    • Related Report
      2015 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Existence of positive solutions of a semilinear elliptic equation with a dynamical boundary condition2015

    • Author(s)
      M.Fila, K. Ishige, T. Kawakami
    • Journal Title

      Calculus of Variations and Partial Differential Equations

      Volume: 54 Issue: 2 Pages: 2059-2078

    • DOI

      10.1007/s00526-015-0856-8

    • Related Report
      2015 Annual Research Report
    • Peer Reviewed / Int'l Joint Research / Acknowledgement Compliant
  • [Journal Article] Positive solutions of a semilinear elliptic equation with singular Dirichlet boundary data2015

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

      J. Elliptic Parabolic Equations

      Volume: 1

    • Related Report
      2015 Annual Research Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] The enclosure method for an inverse problem arising from a spot welding2015

    • Author(s)
      Masaru Ikehata, Hiromichi Itou, Akira Sasamoto
    • Journal Title

      Math. Mech. Appl. Sci.

      Volume: 印刷中 Issue: 13 Pages: 3565-3575

    • DOI

      10.1002/mma.3799

    • Related Report
      2015 Annual Research Report
    • Peer Reviewed / Acknowledgement Compliant
  • [Journal Article] On finding an obstacle embedded in the rough background medium via the enclosure method in the time domain2015

    • Author(s)
      Masaru Ikehata
    • Journal Title

      Inverse Problems

      Volume: 31 Issue: 8 Pages: 085011-085011

    • DOI

      10.1088/0266-5611/31/8/085011

    • Related Report
      2015 Annual Research Report
    • Peer Reviewed / Acknowledgement Compliant
  • [Journal Article] Stationary isothermic surfaces in Euclidean 3-space2015

    • Author(s)
      Rolando Magnanini, Daniel Peralta-Salas, and Shigeru Sakaguchi
    • Journal Title

      Mathematische Annalen

      Volume: 印刷中 Issue: 1-2 Pages: 97-124

    • DOI

      10.1007/s00208-015-1212-1

    • Related Report
      2014 Annual Research Report
    • Peer Reviewed / Open Access / Acknowledgement Compliant
  • [Journal Article] Nonradial maximizers for a H'enon type problem and symmetry breaking bifurcations for a Liouville-Gel'fand problem with a vanishing coefficient2015

    • Author(s)
      Yasuhito Miyamoto
    • Journal Title

      Mathematische Annalen

      Volume: 361 Issue: 3-4 Pages: 787-809

    • DOI

      10.1007/s00208-014-1089-4

    • Related Report
      2014 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Structure of the positive radial solutions for the supercritical Neumann problem ε2Δu-u+up=0 in a ball2015

    • Author(s)
      Yasuhito Miyamoto
    • Journal Title

      The special issue for the 20th anniversary, the Journal of Mathematical Sciences, the University of Tokyo

      Volume: 印刷中

    • NAID

      120006906162

    • Related Report
      2014 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Stationary solutions for some shadow system of the Keller-Segel model with logistic growth2015

    • Author(s)
      Tohru Tsujikawa, Kousuke Kuto, Yasuhito Miyamoto and Hirofumi Izuhara
    • Journal Title

      Discrete and Continuous Dynamical Systems - Series S

      Volume: 印刷中

    • Related Report
      2014 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Interaction between fast diffusion and geometry of domain2014

    • Author(s)
      Shigeru Sakaguchi
    • Journal Title

      Kodai Mathematical Journal

      Volume: 37 Issue: 3 Pages: 680-701

    • DOI

      10.2996/kmj/1414674616

    • NAID

      130004705919

    • ISSN
      0386-5991, 1881-5472
    • Related Report
      2014 Annual Research Report
    • Peer Reviewed / Open Access / Acknowledgement Compliant
  • [Journal Article] Global solutions for a nonlinear integral equation with a generalized heat kernel2014

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

      Discrete and Continuous Dynamical Systems - Series S

      Volume: 7 Issue: 4 Pages: 767-783

    • DOI

      10.3934/dcdss.2014.7.767

    • Related Report
      2014 Annual Research Report
    • Peer Reviewed / Acknowledgement Compliant
  • [Journal Article] Higher Order Asymptotic Expansion for the Heat Equation with a Nonlinear Boundary Condition2014

    • Author(s)
      Tatsuki Kawakami
    • Journal Title

      Funkcialaj Ekvacioj

      Volume: 57 Issue: 1 Pages: 57-89

    • DOI

      10.1619/fesi.57.57

    • NAID

      130003391680

    • ISSN
      0532-8721
    • Related Report
      2014 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Asymptotics for a nonlinear integral equation with a generalized heat kernel2014

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

      Journal of Evolution Equations

      Volume: 14 Issue: 4-5 Pages: 749-777

    • DOI

      10.1007/s00028-014-0237-3

    • Related Report
      2014 Annual Research Report
    • Peer Reviewed / Open Access / Acknowledgement Compliant
  • [Journal Article] An inverse problem for a three-dimensional heat equation in thermal imaging and the enclosure method2014

    • Author(s)
      Ikehata, M. and Kawashita, M.
    • Journal Title

      Inverse Problems and Imaging

      Volume: 8 Issue: 4 Pages: 1073-1116

    • DOI

      10.3934/ipi.2014.8.1073

    • Related Report
      2014 Annual Research Report
    • Peer Reviewed / Acknowledgement Compliant
  • [Journal Article] Structure of the positive solutions for supercritical elliptic equations in a ball2014

    • Author(s)
      Y Miyamoto
    • Journal Title

      Journal de Mathematiques Pures et Appliquees

      Volume: 102 Issue: 4 Pages: 672-701

    • DOI

      10.1016/j.matpur.2014.02.002

    • Related Report
      2014 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Classification of bifurcation diagrams for elliptic equations with exponential growth in a ball2014

    • Author(s)
      Yasuhito Miyamoto
    • Journal Title

      Annali di Matematica Pura ed Applicata

      Volume: 未確定 Issue: 4 Pages: 931-952

    • DOI

      10.1007/s10231-014-0404-8

    • Related Report
      2014 Annual Research Report
    • Peer Reviewed
  • [Presentation] Two-phase heat conductors, stationary isothermic surfaces and surfaces with the constant flow property2018

    • Author(s)
      Shigeru Sakaguchi
    • Organizer
      RIMS Workshop on Inverse problems of partial differential equations and related topics
    • Related Report
      2017 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Two-phase heat conductors, stationary isothermic surfaces and surfaces with the constant flow property2018

    • Author(s)
      Shigeru Sakaguchi
    • Organizer
      研究集会「非線形現象の数値シミュレーションと解析2018」
    • Related Report
      2017 Annual Research Report
    • Invited
  • [Presentation] 不変等流面を有する二相熱伝導体の幾何学的形状2018

    • Author(s)
      Lorenzo Cavallina, Rolando Magnanini and Shigeru Sakaguchi
    • Organizer
      日本数学会年会
    • Related Report
      2017 Annual Research Report
  • [Presentation] Variational problems for Nonlinear Schr\"{o}dinger and Allen-Cahn equations on non-compact metric graphs2018

    • Author(s)
      Kazuhiro Kurata
    • Organizer
      RACMaS Workshop on Differential Equations and Networks
    • Related Report
      2017 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] あるスケール変換による極限方程式とその応用2018

    • Author(s)
      宮本安人
    • Organizer
      日本数学会年会
    • Related Report
      2017 Annual Research Report
  • [Presentation] Exact eigenvalues and eigenfunctions for a one-dimensional Gel'fand problem2018

    • Author(s)
      宮本安人
    • Organizer
      日本数学会年会
    • Related Report
      2017 Annual Research Report
  • [Presentation] On the shape of a two-phase heat conductor satisfying the constant flow property at the boundary2018

    • Author(s)
      Lorenzo Cavallina
    • Organizer
      15th Aoba-yama PDE Seminar on PDEs and Inverse Problems
    • Related Report
      2017 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] A limit equation and bifurcation diagrams of semilinear elliptic equations with general supercritical growth2017

    • Author(s)
      Yasuhito Miyamoto
    • Organizer
      2017 International Workshop on Nonlinear PDE and Applications
    • Place of Presentation
      Daejeon, 大韓民国
    • Year and Date
      2017-03-30
    • Related Report
      2016 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] 一般化されたジョセフルンドグレン指数と交点数2017

    • Author(s)
      宮本 安人, 高橋 和音
    • Organizer
      日本数学会年会
    • Place of Presentation
      首都大学東京(八王子市)
    • Year and Date
      2017-03-25
    • Related Report
      2016 Annual Research Report
  • [Presentation] 交差拡散効果をもつあるprey-predator反応拡散系の非定数定常解について2017

    • Author(s)
      倉田 和浩
    • Organizer
      研究集会「非線形現象の数値シミュレーションと解析2017」
    • Place of Presentation
      北海道大学(札幌市)
    • Year and Date
      2017-03-07
    • Related Report
      2016 Annual Research Report
    • Invited
  • [Presentation] An exterior nonlinear elliptic problem with a dynamical boundary condition2017

    • Author(s)
      Tatsuki Kawakami
    • Organizer
      2017 NCTS Workshop on Applied Mathematics at Tainan
    • Place of Presentation
      Tainan, Taiwan
    • Year and Date
      2017-03-06
    • Related Report
      2016 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] 非有界network上のAllen-Cahn方程式のヘテロクリニック解について2017

    • Author(s)
      倉田 和浩
    • Organizer
      首都大学東京第11回非線形偏微分方程式と変分問題
    • Place of Presentation
      首都大学東京(八王子市)
    • Year and Date
      2017-02-12
    • Related Report
      2016 Annual Research Report
  • [Presentation] The enclosure method for inverse obstacle scattering over a finite time interval: IV. Extraction from a single point on the graph of the response operator2017

    • Author(s)
      Masaru Ikehata
    • Organizer
      RIMS Workshop Inverse problems for partial differential equations and related topics
    • Place of Presentation
      京都大学数理解析研究所(京都市)
    • Year and Date
      2017-01-26
    • Related Report
      2016 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Intersection number and applications for semilinear elliptic equations with general supercritical growth2017

    • Author(s)
      宮本 安人
    • Organizer
      Tokyo-Berkeley Mathematics Workshop PDEs and Mathematical Physics
    • Place of Presentation
      東京大学(東京都・目黒区)
    • Year and Date
      2017-01-13
    • Related Report
      2016 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Two-phase heat conductors in two dimensions and related overdetermined problems2017

    • Author(s)
      Shigeru Sakaguchi
    • Organizer
      The 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] 不変等温面を伴う二相導体と関連する優決定問題2017

    • Author(s)
      坂口茂
    • Organizer
      ひこね解析セミナー(第2回)
    • Related Report
      2017 Annual Research Report
    • Invited
  • [Presentation] 不変等温面を伴う二相導体と関連する楕円型優決定問題2017

    • Author(s)
      坂口茂
    • Organizer
      日本数学会秋季総合分科会
    • Related Report
      2017 Annual Research Report
  • [Presentation] Two-phase heat conductors, stationary isothermic surfaces and surfaces with the constant heat flow property2017

    • Author(s)
      Shigeru Sakaguchi
    • Organizer
      The third Spanish-Japanese workshop on Differential Geometry
    • Related Report
      2017 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Two-phase heat conductors with a surface of the constant flow property2017

    • Author(s)
      Shigeru Sakaguchi
    • Organizer
      Geometric aspects of PDEs
    • Related Report
      2017 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Asymptotic behavior of minimizers of nonlinear variational problems associated with nonlinear Schr\"{o}dinger equations on a non-compact metric graph2017

    • Author(s)
      Kazuhiro Kurata
    • Organizer
      RIMS Workshop on Singularity and asymptotic behavior of solutions for partial differential equations with conservation law
    • Related Report
      2017 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] On an asymptotic behavior of minimizers of the variational problem arising from a certain FitzHugh-Nagumo system with an inhomogeneous diffusion coefficient2017

    • Author(s)
      倉田和浩
    • Organizer
      第13回非線型の諸問題
    • Related Report
      2017 Annual Research Report
    • Invited
  • [Presentation] On an optimization problem of the first eigenvalue of the Laplacian on a thin domain with Neumann windows2017

    • Author(s)
      Kazuhiro Kurata
    • Organizer
      Potential Analysis and Related Fields 2017
    • Related Report
      2017 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] 外部領域における動的境界条件付き半線形楕円型方程式の可解性2017

    • Author(s)
      川上竜樹
    • Organizer
      応用解析研究会
    • Related Report
      2017 Annual Research Report
    • Invited
  • [Presentation] Existence of mild solutions for the Hamilton-Jacobi equation with critical fractional viscosity in the Besov spaces2017

    • Author(s)
      川上竜樹
    • Organizer
      名古屋大学微分方程式セミナー
    • Related Report
      2017 Annual Research Report
    • Invited
  • [Presentation] Asymptotic expansion of solutions of fractional diffusion equations2017

    • Author(s)
      Tatsuki Kawakami
    • Organizer
      RIMS Workshop on Singularity and asymptotic behavior of solutions for partial differential equations with conservation law
    • Related Report
      2017 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Decay estimates of the solutions for a nonlinear parabolic equation2017

    • Author(s)
      Tatsuki Kawakami
    • Organizer
      Equadiff 2017
    • Related Report
      2017 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] 外部領域における動的境界条件付き半線形楕円型方程式の可解性2017

    • Author(s)
      川上竜樹
    • Organizer
      明治大学非線型数理セミナー
    • Related Report
      2017 Annual Research Report
    • Invited
  • [Presentation] An exterior nonlinear elliptic problem wirh a dynamical boundary condition2017

    • Author(s)
      Tatsuki Kawakami
    • Organizer
      Analysis and Partial Differential Equations Seminar, Johns Hopkins University
    • Related Report
      2017 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Asymptotic expansion of solutions of fractional diffusion equations2017

    • Author(s)
      Tatsuki Kawakami
    • Organizer
      Seminario di Analisi Nonlineare, University of Milano
    • Related Report
      2017 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] A semilinear elliptic equation with a dynamical boundary condition2017

    • Author(s)
      Tatsuki Kawakami
    • Organizer
      Seminario di Analisi matematica, University of Bergamo
    • Related Report
      2017 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] A limit equation and bifurcation diagram for semilinear elliptic equations with general supercritical growth2017

    • Author(s)
      Yasuhito Miyamoto
    • Organizer
      Seminar, Shanghai Normal Univ.
    • Related Report
      2017 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Structure of the positive radial solutions for the supercritical Neumann problem $\varpsilon^2\Delta u-u+u^p=0$ in a ball2017

    • Author(s)
      Yasuhito Miyamoto
    • Organizer
      International Workshop on Nonlinear Analysis and Reaction-Diffusion Equations
    • Related Report
      2017 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] A limit equation and bifurcation diagram for semilinear elliptic equations with general supercritical growth2017

    • Author(s)
      Yasuhito Miyamoto
    • Organizer
      Seminaire Analyse Numerique et E.D.P, Paris-Sud Univ.
    • Related Report
      2017 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Structure of the positive radial solutions for the supercritical Neumann problem $\varpeislon^2\Delta u-u+u^p=0$ in a ball2017

    • Author(s)
      Yasuhito Miyamoto
    • Organizer
      Equadiff 2017
    • Related Report
      2017 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Nonradial singular solutions for a certain semilinear elliptic equation2017

    • Author(s)
      Yasuhito Miyamoto
    • Organizer
      日本数学会秋季総合分科会
    • Related Report
      2017 Annual Research Report
  • [Presentation] A limit equation and bifurcation diagram for semilinear elliptic equations with general supercritical growth2017

    • Author(s)
      Yasuhito Miyamoto
    • Organizer
      Qualitative Theory on Nonlinear Partial Differential Equations
    • Related Report
      2017 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] A limit equation and bifurcation diagram for semilinear elliptic equations with general supercritical growth2017

    • Author(s)
      Yasuhito Miyamoto
    • Organizer
      GDRI conference, Taiwan Univ.
    • Related Report
      2017 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] The hot spots conjecture and around2017

    • Author(s)
      Yasuhito Miyamoto
    • Organizer
      RIMS Workshop on Succession and Innovation of Studies on ODEs in Real Domains
    • Related Report
      2017 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] A limit equation and bifurcation diagram for semilinear elliptic equations with general supercritical growth2017

    • Author(s)
      Yasuhito Miyamoto
    • Organizer
      第43回発展方程式研究会
    • Related Report
      2017 Annual Research Report
  • [Presentation] On finding an obstacle embedded in the rough background medium via the enclosure method in the time domain2017

    • Author(s)
      Masaru Ikehata
    • Organizer
      Minisymposium M42 Inclusion detection methods in inverse problems in AIPC2017
    • Related Report
      2017 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Detection and range estimation of a hidden object using the time domain enclosure method2017

    • Author(s)
      Masaru Ikehata
    • Organizer
      Geometry and Inverse Problems in Cooperation with A3 FORESIGHT PROGRAM
    • Related Report
      2017 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] 一般化ジョセフ・ルンドグレン指数と交点数2016

    • Author(s)
      宮本 安人, 高橋 和音
    • Organizer
      第42回発展方程式研究会
    • Place of Presentation
      日本女子大学(東京都・文京区)
    • Year and Date
      2016-12-25
    • Related Report
      2016 Annual Research Report
  • [Presentation] 藤嶋スケール変換によるソボレフ優臨界楕円型・放物型問題の極限方程式とその応用2016

    • Author(s)
      宮本 安人
    • Organizer
      第 14 回浜松偏微分方程式研究集会
    • Place of Presentation
      静岡大学(浜松市)
    • Year and Date
      2016-12-22
    • Related Report
      2016 Annual Research Report
    • Invited
  • [Presentation] Asymptotic behavior and decay estimates of the solutions for a nonlinear parabolic equation with exponential nonlinearity2016

    • Author(s)
      Tatsuki Kawakami
    • Organizer
      International Workshop on Nonlinear PDEs 2016 in Osaka
    • Place of Presentation
      大阪府立大学(堺市)
    • Year and Date
      2016-12-07
    • Related Report
      2016 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Intersection number and applications for semilinear elliptic equations with general supercritical growth2016

    • Author(s)
      宮本 安人
    • Organizer
      愛媛大学解析セミナー
    • Place of Presentation
      愛媛大学(松山市)
    • Year and Date
      2016-12-02
    • Related Report
      2016 Annual Research Report
  • [Presentation] 空間2次元の異種成分間の斥力相互作用をもつ 2成分Bose-Einstein凝縮体に関する変分問題について2016

    • Author(s)
      倉田 和浩
    • Organizer
      東北大学大学院理学研究科数学専攻談話会
    • Place of Presentation
      東北大学(仙台市)
    • Year and Date
      2016-11-28
    • Related Report
      2016 Annual Research Report
    • Invited
  • [Presentation] Intersection number and applications for semilinear elliptic equations with general supercritical growth2016

    • Author(s)
      Yasuhito Miyamoto
    • Organizer
      RIMS 研究集会「常微分方程式の定性的理論とその周辺」
    • Place of Presentation
      京都大学数理解析研究所(京都市)
    • Year and Date
      2016-11-17
    • Related Report
      2016 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] The probe and enclosure methods for invere obstacle problems governed by partial differential equations2016

    • Author(s)
      Masaru Ikehata
    • Organizer
      ICUB Talks: Exact Sciences Section
    • Place of Presentation
      Bucharest, Romania
    • Year and Date
      2016-11-10
    • Related Report
      2016 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] An exterior nonlinear elliptic problem with a dynamical boundary condition2016

    • Author(s)
      Tatsuki Kawakami
    • Organizer
      RIMS Workshop Analysis on Shapes of Solutions to Partial Differential Equations
    • Place of Presentation
      京都大学数理解析研究所(京都市)
    • Year and Date
      2016-11-09
    • Related Report
      2016 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Two-phase conductors and overdetermined problems with transmission conditions2016

    • Author(s)
      Shigeru Sakaguchi
    • Organizer
      Geometry of solutions of PDE's and its related inverse problems
    • Place of Presentation
      東北大学(仙台市)
    • Year and Date
      2016-10-05
    • Related Report
      2016 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] An exterior nonlinear elliptic problem with a dynamical boundary condition2016

    • Author(s)
      Tatsuki Kawakami
    • Organizer
      Geometry of solutions of PDE's and its related inverse problems
    • Place of Presentation
      東北大学(仙台市)
    • Year and Date
      2016-10-05
    • Related Report
      2016 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] The enclosure method for the Maxwell system in time domain2016

    • Author(s)
      Masaru Ikehata
    • Organizer
      Geometry of solutions of PDE's and its related inverse problems
    • Place of Presentation
      東北大学(仙台市)
    • Year and Date
      2016-10-05
    • Related Report
      2016 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] On finding an obstacle with the Leontovich boundary condition via the time domain enclosure method2016

    • Author(s)
      池畠 優
    • Organizer
      日本数学会秋季総合分科会
    • Place of Presentation
      関西大学(吹田市)
    • Year and Date
      2016-09-17
    • Related Report
      2016 Annual Research Report
  • [Presentation] 一つの不変等温面を伴う二相導体2016

    • Author(s)
      坂口 茂
    • Organizer
      日本数学会秋季総合分科会
    • Place of Presentation
      関西大学(吹田市)
    • Year and Date
      2016-09-16
    • Related Report
      2016 Annual Research Report
  • [Presentation] 平均曲率方程式の半連続解に対する強比較原理2016

    • Author(s)
      大沼 正樹, 坂口 茂
    • Organizer
      日本数学会秋季総合分科会
    • Place of Presentation
      関西大学(吹田市)
    • Year and Date
      2016-09-15
    • Related Report
      2016 Annual Research Report
  • [Presentation] Existence and non-existence of non-constant stationary patterns for certain prey-predator type reaction-diffusion systems with a cross-diffusion effect2016

    • Author(s)
      Kazuhiro Kurata
    • Organizer
      研究集会「ミクロな振る舞いと集団的パターン形成に係る階層的構造の解明」
    • Place of Presentation
      京都大学数理解析研究所(京都市)
    • Year and Date
      2016-09-14
    • Related Report
      2016 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] A semilinear elliptic equation with a dynamical boundary condition2016

    • Author(s)
      Tatsuki Kawakami
    • Organizer
      7th Euro-Japanese workshop on Blow-up
    • Place of Presentation
      Bedlewo, Poland
    • Year and Date
      2016-09-05
    • Related Report
      2016 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] 一般化ジョセフ・ルンドグレン指数と交点数2016

    • Author(s)
      宮本 安人
    • Organizer
      横浜国立大微分方程式セミナー
    • Place of Presentation
      横浜国立大学(横浜市)
    • Year and Date
      2016-08-25
    • Related Report
      2016 Annual Research Report
  • [Presentation] Generalized Joseph-Lundgren exponent and intersection properties for supercritical quasilinear elliptic equations2016

    • Author(s)
      Yasuhito Miyamoto
    • Organizer
      Ito Workshop on Partial Differential Equations
    • Place of Presentation
      九州大学(福岡市)
    • Year and Date
      2016-08-22
    • Related Report
      2016 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Existence and non-existence of non-constant stationary patterns for certain prey-predator type reaction-diffusion systems with a cross-diffusion effect2016

    • Author(s)
      Kazuhiro Kurata
    • Organizer
      The 11th AIMS Conference on Dynamical Systems, Differential Equations and Applications
    • Place of Presentation
      Orland, USA
    • Year and Date
      2016-07-02
    • Related Report
      2016 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Two-phase heat conductors with a stationary isothermic surface2016

    • Author(s)
      Shigeru Sakaguchi
    • Organizer
      RIMS Workshop Regularity, singularity and long time behavior for partial differential equations with conservation law
    • Place of Presentation
      京都大学数理解析研究所(京都市)
    • Year and Date
      2016-06-06
    • Related Report
      2016 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Minimal solutions of a semilinear elliptic equation with a dynamical boundary condition2016

    • Author(s)
      Tatsuki Kawakami
    • Organizer
      XXXVI Convegno di Analisi Armonica
    • Place of Presentation
      Gargnano, Italy
    • Year and Date
      2016-05-30
    • Related Report
      2016 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Minimal solutions of a semilinear elliptic equation with a dynamical boundary condition2016

    • Author(s)
      Tatsuki Kawakami
    • Organizer
      9th European conference on elliptic and parabolic problems
    • Place of Presentation
      Gaeta, Italy
    • Year and Date
      2016-05-23
    • Related Report
      2016 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] On finding an obstacle embedded in the rough background medium via the enclosure method in the time domain2016

    • Author(s)
      池畠優
    • Organizer
      日本数学会2016年度年会
    • Place of Presentation
      筑波大学(茨城県・つくば市)
    • Year and Date
      2016-03-19
    • Related Report
      2015 Annual Research Report
  • [Presentation] Heat contentに関するある最適化問題について2016

    • Author(s)
      倉田和浩
    • Organizer
      第10回非線形偏微分方程式と変分問題
    • Place of Presentation
      首都大学東京(東京都・八王子市)
    • Year and Date
      2016-02-07
    • Related Report
      2015 Annual Research Report
  • [Presentation] The enclosure method for inverse obstacle scattering in time domain2016

    • Author(s)
      Masaru Ikehata
    • Organizer
      Workshop on Analysis in Kagurazaka 2016
    • Place of Presentation
      東京理科大学(東京都新宿区)
    • Year and Date
      2016-01-22
    • Related Report
      2015 Annual Research Report
  • [Presentation] Classification of bifurcation diagrams for supercritical elliptic Dirichlet problems in a ball2016

    • Author(s)
      Yasuhito Miyamoto
    • Organizer
      FMSP Workshop "Reaction-Diffusion equations and around"
    • Place of Presentation
      東京大学(東京都・目黒区)
    • Year and Date
      2016-01-21
    • Related Report
      2015 Annual Research Report
    • Int'l Joint Research
  • [Presentation] Neutrally coated inclusions in three dimensions2016

    • Author(s)
      坂口茂
    • Organizer
      研究集会「HMAセミナー・冬の研究会 2016」
    • Place of Presentation
      広島大学(広島県・東広島市)
    • Year and Date
      2016-01-08
    • Related Report
      2015 Annual Research Report
  • [Presentation] Neutrally coated inclusions in three dimensions2015

    • Author(s)
      Shigeru Sakaguchi
    • Organizer
      2015 NCTS Workshop on Partial Differential Equations and Applied Mathematics
    • Place of Presentation
      National Tsing Hua University(台湾)
    • Year and Date
      2015-12-30
    • Related Report
      2015 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Structure of positive solutions for semilinear elliptic equations with supercritical growth2015

    • Author(s)
      Yasuhito Miyamoto
    • Organizer
      3rd Chile-Japan Workshop on Nonlinear PDEs
    • Place of Presentation
      大阪大学(大阪府・豊中市)
    • Year and Date
      2015-12-11
    • Related Report
      2015 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Neutrally coated inclusions in three dimensions2015

    • Author(s)
      坂口茂
    • Organizer
      研究集会「第11回非線型の諸問題」
    • Place of Presentation
      メートプラザ佐賀(佐賀県・佐賀市)
    • Year and Date
      2015-09-29
    • Related Report
      2015 Annual Research Report
  • [Presentation] The enclosure method for inverse obstacle scattering using a solution of the Maxwell system in the time domain2015

    • Author(s)
      池畠優
    • Organizer
      日本数学会2015年度秋季総合分科会
    • Place of Presentation
      京都産業大学(京都府・京都市)
    • Year and Date
      2015-09-15
    • Related Report
      2015 Annual Research Report
  • [Presentation] Neutrally coated inclusions in three dimensions2015

    • Author(s)
      坂口茂
    • Organizer
      日本数学会秋季総合分科会
    • Place of Presentation
      京都産業大学(京都府・京都市)
    • Year and Date
      2015-09-13
    • Related Report
      2015 Annual Research Report
  • [Presentation] The enclosure method for the evaluation of the spot welding area using a solution of the Laplace equation2015

    • Author(s)
      池畠優
    • Organizer
      日本数学会2015年度秋季総合分科会
    • Place of Presentation
      京都産業大学(京都府・京都市)
    • Year and Date
      2015-09-13
    • Related Report
      2015 Annual Research Report
  • [Presentation] 動的境界条件付き半線形楕円型方程式の正値解について2015

    • Author(s)
      川上竜樹
    • Organizer
      浜松偏微分方程式セミナー
    • Place of Presentation
      静岡大学(静岡県・浜松市)
    • Year and Date
      2015-07-09
    • Related Report
      2015 Annual Research Report
  • [Presentation] Classification of bifurcation diagrams for supercritical elliptic equations in a ball2015

    • Author(s)
      Yasuhito Miyamoto
    • Organizer
      研究集会「パターン生成とダイナミクスの解構造の探求」
    • Place of Presentation
      北海道大学学術交流会館(北海道・札幌市)
    • Year and Date
      2015-06-28
    • Related Report
      2015 Annual Research Report
  • [Presentation] Neutrally coated inclusions in three dimensions2015

    • Author(s)
      坂口茂
    • Organizer
      研究集会 「パターン生成とダイナミクスの解構造の探求」
    • Place of Presentation
      北海道大学学術交流会館(北海道・札幌市)
    • Year and Date
      2015-06-26
    • Related Report
      2015 Annual Research Report
  • [Presentation] The enclosure method for inverse obstacle scattering using a single electromagnetic wave in time domain2015

    • Author(s)
      Masaru Ikehata
    • Organizer
      Minisymposium (M21) Reconstruction methods for inverse problems (Part 1), Applied Inverse Problems Conference AIPC2015
    • Place of Presentation
      Helsinki(Finland)
    • Year and Date
      2015-05-28
    • Related Report
      2015 Annual Research Report
    • Int'l Joint Research
  • [Presentation] 不変等温面および不変等温線とその対称性2015

    • Author(s)
      坂口茂
    • Organizer
      日本数学会年会
    • Place of Presentation
      明治大学(東京都・千代田区)
    • Year and Date
      2015-03-22
    • Related Report
      2014 Annual Research Report
  • [Presentation] ある最大化問題の最大化元の形状とLiouville-Gel'fand問題の解構造について2015

    • Author(s)
      宮本安人
    • Organizer
      日本数学会年会
    • Place of Presentation
      明治大学(東京都・千代田区)
    • Year and Date
      2015-03-21
    • Related Report
      2014 Annual Research Report
  • [Presentation] Some recent results on inverse obstacle scattering in time domain using the enclosure method2015

    • Author(s)
      池畠優
    • Organizer
      RIMS研究集会「微分方程式の逆問題とその周辺」
    • Place of Presentation
      京都大学数理解析研究所(京都市・左京区)
    • Year and Date
      2015-01-28
    • Related Report
      2014 Annual Research Report
  • [Presentation] Bose-Einstein凝縮に関わるある変分問題の基底エネルギーの漸近挙動について2015

    • Author(s)
      倉田和浩
    • Organizer
      研究集会「量子渦と非線形波動」
    • Place of Presentation
      東京理科大学神楽坂キャンパス(東京都・新宿区)
    • Year and Date
      2015-01-27
    • Related Report
      2014 Annual Research Report
  • [Presentation] Structure of the positive radial solutions for a supercritical Neumann problem in a ball2015

    • Author(s)
      Yasuhito Miyamoto
    • Organizer
      Workshop on analysis in Kagurazaka 2015
    • Place of Presentation
      東京理科大学神楽坂キャンパス(東京都・新宿区)
    • Year and Date
      2015-01-23
    • Related Report
      2014 Annual Research Report
  • [Presentation] 不変等温面とその対称性2014

    • Author(s)
      坂口茂
    • Organizer
      研究集会「THE NINTH MEETING ON PROBABILITY AND PDE」
    • Place of Presentation
      津田塾大学小平キャンパス(東京都・小平市)
    • Year and Date
      2014-11-14
    • Related Report
      2014 Annual Research Report
  • [Presentation] Intersection properties of radial solutions and global bifurcation diagrams for supercritical quasilinear elliptic equations2014

    • Author(s)
      宮本安人
    • Organizer
      日本数学会秋季総合分科会
    • Place of Presentation
      広島大学(広島県・東広島市)
    • Year and Date
      2014-09-26
    • Related Report
      2014 Annual Research Report
  • [Presentation] Asymptotics for a nonlinear integral equation with a generalized heat kernel2014

    • Author(s)
      川上竜樹
    • Organizer
      研究集会「第10回 非線型の諸問題」
    • Place of Presentation
      大分県中小企業会館(大分県・大分市)
    • Year and Date
      2014-09-19
    • Related Report
      2014 Annual Research Report
  • [Presentation] Structure of the positive radial solutions for a supercritical Neumann problem in a ball2014

    • Author(s)
      宮本安人
    • Organizer
      研究集会「第10回 非線型の諸問題」
    • Place of Presentation
      大分県中小企業会館(大分県・大分市)
    • Year and Date
      2014-09-18
    • Related Report
      2014 Annual Research Report
  • [Presentation] Existence of positive solutions of a semilinear elliptic equation with a dynamical boundary condition2014

    • Author(s)
      Tatsuki Kawakami
    • Organizer
      10th AIMS International Conference on Dyn. Systems, Diff. Equations and Applications
    • Place of Presentation
      Madrid (Spain)
    • Year and Date
      2014-07-10
    • Related Report
      2014 Annual Research Report
  • [Presentation] 動的境界条件付き半線形楕円型方程式の解の大域挙動2014

    • Author(s)
      川上竜樹
    • Organizer
      信州大学偏微分方程式研究集会
    • Place of Presentation
      信州大学(長野県・松本市)
    • Year and Date
      2014-06-14
    • Related Report
      2014 Annual Research Report
  • [Presentation] 3次元ユークリッド空間内の不変な等温面2014

    • Author(s)
      坂口茂
    • Organizer
      研究集会「第5回ハミルトン系とその周辺」
    • Place of Presentation
      金沢大学サテライト・プラザ(石川県・金沢市)
    • Year and Date
      2014-05-29
    • Related Report
      2014 Annual Research Report
  • [Presentation] The enclosure method for inverse obstacle scattering in time domain2014

    • Author(s)
      Masaru Ikehata
    • Organizer
      7th International Conference ``Inverse Problems: Modeling and Simulation''
    • Place of Presentation
      Oludeniz-Fethiye (Turkey)
    • Year and Date
      2014-05-28
    • Related Report
      2014 Annual Research Report
    • Invited
  • [Book] 偏微分方程式の解の幾何学2017

    • Author(s)
      坂口 茂
    • Total Pages
      112
    • Publisher
      サイエンス社
    • Related Report
      2016 Annual Research Report
  • [Remarks] researchmap

    • URL

      http://researchmap.jp/sigersak2012415/

    • Related Report
      2017 Annual Research Report 2016 Annual Research Report 2015 Annual Research Report 2014 Annual Research Report
  • [Funded Workshop] RACMaS Workshop on Differential Equations and Networks2018

    • Related Report
      2017 Annual Research Report
  • [Funded Workshop] 15th Aoba-yama PDE Seminar on PDEs and Inverse Problems2018

    • Related Report
      2017 Annual Research Report
  • [Funded Workshop] The 5th Italian-Japanese Workshop on Geometric Properties for Parabolic and Elliptic PDE’s2017

    • Related Report
      2017 Annual Research Report
  • [Funded Workshop] Geometry and Inverse Problems in Cooperation with A3 FORESIGHT PROGRAM2017

    • Related Report
      2017 Annual Research Report
  • [Funded Workshop] RIMS Workshop Analysis on Shapes of Solutions to Partial Differential Equations2016

    • Place of Presentation
      京都大学数理解析研究所
    • Year and Date
      2016-11-09
    • Related Report
      2016 Annual Research Report
  • [Funded Workshop] Geometry of solutions of PDE's and its related inverse problems2016

    • Place of Presentation
      東北大学
    • Year and Date
      2016-10-05
    • Related Report
      2016 Annual Research Report
  • [Funded Workshop] RIMS Workshop「Shapes and other properties of solutions of PDEs」2015

    • Place of Presentation
      京都大学数理解析研究所
    • Year and Date
      2015-11-11
    • Related Report
      2015 Annual Research Report
  • [Funded Workshop] GSIS Homogenization and Numerical Analysis2015

    • Place of Presentation
      東北大学大学院情報科学研究科
    • Year and Date
      2015-07-31
    • Related Report
      2015 Annual Research Report

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Published: 2014-04-04   Modified: 2022-02-22  

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