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Singularity of solutions for nonlinear partial differential equations of parabolic type and structure of solutions for the stationary problems

Research Project

Project/Area Number 23540244
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeMulti-year Fund
Section一般
Research Field Global analysis
Research InstitutionEhime University

Principal Investigator

NAITO Yuki  愛媛大学, 理工学研究科, 教授 (10231458)

Co-Investigator(Kenkyū-buntansha) KAJIKIYA Ryuji  佐賀大学, 大学院工学研究科, 教授 (10183261)
ISHII Katsuyuki  神戸大学, 大学院海事科学研究科, 教授 (40232227)
Co-Investigator(Renkei-kenkyūsha) YANAGIDA Eiji  東京工業大学, 大学院理工学研究科, 教授 (80174548)
SENBA Takasi  九州工業大学, 大学院工学研究科, 教授 (30196985)
YOSHIKAWA Syuji  愛媛大学, 大学院理工学研究科, 准教授 (80435461)
IOKU Norisuke  愛媛大学, 大学院理工学研究科, 助教 (50624607)
Project Period (FY) 2011-04-28 – 2015-03-31
Project Status Completed (Fiscal Year 2014)
Budget Amount *help
¥5,070,000 (Direct Cost: ¥3,900,000、Indirect Cost: ¥1,170,000)
Fiscal Year 2013: ¥1,560,000 (Direct Cost: ¥1,200,000、Indirect Cost: ¥360,000)
Fiscal Year 2012: ¥1,690,000 (Direct Cost: ¥1,300,000、Indirect Cost: ¥390,000)
Fiscal Year 2011: ¥1,820,000 (Direct Cost: ¥1,400,000、Indirect Cost: ¥420,000)
Keywords放物型偏微分方程式 / 定常問題 / 非線形解析 / 自己相似解 / 解の爆発 / 非線形楕円型偏微分方程式 / 特異解 / 解の挙動 / 振動解 / 国際研究者交流:クロアチア / 安定性 / 爆発問題 / 漸近的性質 / 非線形 / 解構造 / Sobolev 臨界 / 固有値問題 / 解の多重性
Outline of Final Research Achievements

We study the singular behavior of solutions for nonlinear partial differential equations of parabolic type, and investigate the relations between the singularity and the solution structure of the stationary problems. We verify the roles of self-similar solutions in the Cauchy problems for semilinear heat equations in the case where the problem has multiple self-similar solutions. We consider the Cauchy problem for semilinear heat equations, and show the optimal spatial decay condition of initial functions at infinity for the blow-up in finite time. We consider the elliptic partial differential equations involving p-Laplace
operator, and show the geometrical properties of radially symmetric solutions which has singular behavior near the boundary.

Report

(5 results)
  • 2014 Annual Research Report   Final Research Report ( PDF )
  • 2013 Research-status Report
  • 2012 Research-status Report
  • 2011 Research-status Report
  • Research Products

    (98 results)

All 2014 2013 2012 2011 Other

All Journal Article (30 results) (of which Peer Reviewed: 30 results) Presentation (68 results) (of which Invited: 31 results)

  • [Journal Article] An approximation scheme for the anisotropic and nonlocal mean curvature flow2014

    • Author(s)
      Katsuyuki Ishii
    • Journal Title

      Nonlinear Differential Equations and Applications NoDEA

      Volume: 21 Issue: 2 Pages: 219-252

    • DOI

      10.1007/s00030-013-0244-z

    • Related Report
      2013 Research-status Report
    • Peer Reviewed
  • [Journal Article] Characterization for rectifiable and nonrectifiable attractivity of nonautonomous systems of linear differential equations2013

    • Author(s)
      Yuki Naito, Mervan Pasic,
    • Journal Title

      Int. J. Differ. Equ.

      Volume: Art ID 740980 Pages: 1-11

    • DOI

      10.1155/2013/740980

    • Related Report
      2013 Research-status Report
    • Peer Reviewed
  • [Journal Article] Fractal oscillations near the domain boundary of radially symmetric solutions of p-Laplace equations2013

    • Author(s)
      Yuki Naito, Mervan Pasic, Satoshi Tanaka and Darko Zubrinic,
    • Journal Title

      Contempt Math.

      Volume: 601 Pages: 325-343

    • DOI

      10.1090/conm/601/11912

    • Related Report
      2013 Research-status Report
    • Peer Reviewed
  • [Journal Article] Bounded and unbounded oscillating solutions to a parabolic-elliptic system in two dimensional space2013

    • Author(s)
      Yuki Naito, Takasi Senba
    • Journal Title

      Commun. Pure Appl. Anal.

      Volume: 12 Pages: 1861-1880

    • Related Report
      2013 Research-status Report 2012 Research-status Report
    • Peer Reviewed
  • [Journal Article] Multiple solutions of sublinear elliptic equations with small perturbations.2013

    • Author(s)
      Ryuji Kajikiya
    • Journal Title

      J. Math. Anal. Appl.,

      Volume: 398 Issue: 2 Pages: 857-866

    • DOI

      10.1016/j.jmaa.2012.09.045

    • Related Report
      2013 Research-status Report
    • Peer Reviewed
  • [Journal Article] Positive solutions of semilinear elliptic equations with small perturbations2013

    • Author(s)
      Ryuji Kajikiya
    • Journal Title

      Proc. Amer. Math. Soc.

      Volume: 141 Issue: 4 Pages: 1335-1342

    • DOI

      10.1090/s0002-9939-2012-11569-2

    • Related Report
      2013 Research-status Report
    • Peer Reviewed
  • [Journal Article] Non-even positive solutions of the Emden-Fowler equations with sign-changing weights2013

    • Author(s)
      Ryuji Kajikiya
    • Journal Title

      Proc. Roy. Soc. Edinburgh Sect. A

      Volume: 143 Issue: 3 Pages: 631-642

    • DOI

      10.1017/s0308210511001594

    • Related Report
      2013 Research-status Report
    • Peer Reviewed
  • [Journal Article] Least energy solutions of the Emden-Fowler equation in hollow thin symmetric domains2013

    • Author(s)
      Ryuji Kajikiya
    • Journal Title

      J. Math. Anal. Appl.,

      Volume: 406 Issue: 1 Pages: 277-286

    • DOI

      10.1016/j.jmaa.2013.04.068

    • Related Report
      2013 Research-status Report
    • Peer Reviewed
  • [Journal Article] Stability analysis of asymptotic profiles for sign-changing solutions to fast diffusion equations2013

    • Author(s)
      Goro Akagi and Ryuji Kajikiya
    • Journal Title

      Manuscripta Math.

      Volume: 141 Issue: 3-4 Pages: 559-587

    • DOI

      10.1007/s00229-012-0583-9

    • NAID

      120005455953

    • Related Report
      2013 Research-status Report
    • Peer Reviewed
  • [Journal Article] Least energy solutions and group invariant solutions of the Henon equation2013

    • Author(s)
      Ryuji Kajikiya
    • Journal Title

      Advanced Nonlinear Studies

      Volume: 13

    • Related Report
      2013 Research-status Report
    • Peer Reviewed
  • [Journal Article] Sobolev norm estimates of solutions for the sublinear Emden-Fowler equation2013

    • Author(s)
      Ryuji Kajikiya
    • Journal Title

      Opuscula Mathematica

      Volume: 33 Issue: 4 Pages: 713-723

    • DOI

      10.7494/opmath.2013.33.4.713

    • Related Report
      2013 Research-status Report
    • Peer Reviewed
  • [Journal Article] Two positive solutions for one-dimensional p-Laplacian with a singular weight2013

    • Author(s)
      R. Kajikiya, Y.-H. Lee and I. Sim
    • Journal Title

      Topological Methods in Nonlinear Analysis

      Volume: 42

    • Related Report
      2013 Research-status Report
    • Peer Reviewed
  • [Journal Article] The role of forward self-similar solutions in the Cauchy problem for semilinear heat equations2012

    • Author(s)
      Yuki Naito
    • Journal Title

      J. Differential Equations

      Volume: 253 Issue: 11 Pages: 3029-3060

    • DOI

      10.1016/j.jde.2012.08.013

    • Related Report
      2012 Research-status Report
    • Peer Reviewed
  • [Journal Article] Remarks on singular Sturm comparison theorems2012

    • Author(s)
      Yuki Naito
    • Journal Title

      Mem. Differential Equations Math. Phys.

      Volume: 57 Pages: 9-122

    • Related Report
      2012 Research-status Report
    • Peer Reviewed
  • [Journal Article] Blow-up behavior of solutions to a parabolic-elliptic system on higher dimensional domains2012

    • Author(s)
      Yuki Naito and Takasi Senba
    • Journal Title

      Discrete Contin. Dyn. Syst.

      Volume: 32 Pages: 3691-3713

    • Related Report
      2012 Research-status Report
    • Peer Reviewed
  • [Journal Article] Classification of second order linear differential equations and an application to singular elliptic eigenvalue problems2012

    • Author(s)
      Y.Naito
    • Journal Title

      Bull.London Math.Soc.

      Volume: (In press) Issue: 3 Pages: 1-18

    • DOI

      10.1112/blms/bdr117

    • Related Report
      2012 Research-status Report 2011 Research-status Report
    • Peer Reviewed
  • [Journal Article] Non-homogeneous semilinear elliptic equations involving critical Sobolev exponent2012

    • Author(s)
      Yuki Naito and Tokushi Sato
    • Journal Title

      Ann. Mat. Pura Appl. (4)

      Volume: 191 Issue: 1 Pages: 25-51

    • DOI

      10.1007/s10231-010-0173-y

    • Related Report
      2012 Research-status Report 2011 Research-status Report
    • Peer Reviewed
  • [Journal Article] Rectifiable oscillations of radially symmetric solutions of p-Laplace differential equations2012

    • Author(s)
      Yuki Naito, Mervan Pasic, and Hiroyuki Usami
    • Journal Title

      Differ. Equ. Appl.

      Volume: 4 Issue: 1 Pages: 11-25

    • DOI

      10.7153/dea-04-03

    • Related Report
      2012 Research-status Report 2011 Research-status Report
    • Peer Reviewed
  • [Journal Article] 1. Non-radial least energy solutions of the generalized Henon equation2012

    • Author(s)
      R. Kajikiya
    • Journal Title

      J. Differential Equations

      Volume: 252 Issue: 2 Pages: 1987-2003

    • DOI

      10.1016/j.jde.2011.08.032

    • Related Report
      2012 Research-status Report
    • Peer Reviewed
  • [Journal Article] Non-even least energy solutions of the Emden-Fowler equation2012

    • Author(s)
      R. Kajikiya
    • Journal Title

      Proc. Amer. Math. Soc.

      Volume: 140 Issue: 4 Pages: 1353-1362

    • DOI

      10.1090/s0002-9939-2011-11172-9

    • Related Report
      2012 Research-status Report
    • Peer Reviewed
  • [Journal Article] Mountain pass theorem in ordered Banach spaces and its applications to semilinear elliptic equations2012

    • Author(s)
      R. Kajikiya
    • Journal Title

      Nonlinear Differential Equations and Applications

      Volume: 19 Issue: 2 Pages: 159-175

    • DOI

      10.1007/s00030-011-0122-5

    • Related Report
      2012 Research-status Report
    • Peer Reviewed
  • [Journal Article] Least energy solutions of the generalized Henon equation in reflectionally symmetric or point symmetric domains2012

    • Author(s)
      R. Kajikiya
    • Journal Title

      J. Differential Equations

      Volume: 253 Issue: 5 Pages: 1621-1646

    • DOI

      10.1016/j.jde.2012.05.004

    • Related Report
      2012 Research-status Report
    • Peer Reviewed
  • [Journal Article] Non-even positive solutions of the one dimensional p-Laplace Emden-Fowler equation2012

    • Author(s)
      R. Kajikiya
    • Journal Title

      Applied Mathematics Letters

      Volume: 25 Issue: 11 Pages: 1891-1895

    • DOI

      10.1016/j.aml.2012.02.057

    • Related Report
      2012 Research-status Report
    • Peer Reviewed
  • [Journal Article] An area-minimizing scheme for anisotropic mean-curvature flow2012

    • Author(s)
      Tokuhiro Eto, Yoshikazu Giga and Katsuyuki Ishii
    • Journal Title

      Adv. Differential Equations 17 (2012)

      Volume: 17 Pages: 1031-1084

    • NAID

      120006459700

    • Related Report
      2012 Research-status Report
    • Peer Reviewed
  • [Journal Article] Mathematical Analysis to an approximation scheme for mean curvature flow2012

    • Author(s)
      K. Ishii
    • Journal Title

      International Symposium on Computational Science 2011

      Volume: 34

    • Related Report
      2011 Research-status Report
    • Peer Reviewed
  • [Journal Article] An area minimizing scheme for anisotropic mean curvature flow2012

    • Author(s)
      T. Eto, Y. Giga and K. Ishii
    • Journal Title

      Proc. Japan Acad. Ser A.

      Volume: 88

    • NAID

      120006459700

    • Related Report
      2011 Research-status Report
    • Peer Reviewed
  • [Journal Article] Existence and non-existence of sign-changing solutions for a class of two-point boundary value problems involving one-dimensional p-Laplacian2011

    • Author(s)
      Yuki Naito
    • Journal Title

      Mathematica Bohemica

      Volume: 136

    • Related Report
      2011 Research-status Report
    • Peer Reviewed
  • [Journal Article] Sublinear elliptic equations with singular coefficients on the boundary2011

    • Author(s)
      R.Kajikiya
    • Journal Title

      Journal of the Mathematical Society of Japan

      Volume: 63 Issue: 1 Pages: 263-294

    • DOI

      10.2969/jmsj/06310263

    • NAID

      10027871371

    • ISSN
      0025-5645, 1881-1167, 1881-2333
    • Related Report
      2011 Research-status Report
    • Peer Reviewed
  • [Journal Article] Bifurcation of sign-changing solutions for one-dimensional p-Laplacian with a strong singular weight : p-superlinear at infinity2011

    • Author(s)
      R.Kajikiya, Yong-Hoon Lee, Inbo Sim
    • Journal Title

      Nonlinear Analysis, T.M.A.

      Volume: 74 Issue: 17 Pages: 5833-5843

    • DOI

      10.1016/j.na.2011.03.058

    • Related Report
      2011 Research-status Report
    • Peer Reviewed
  • [Journal Article] Convergence of the Approximation Schemeto American Option Pricing via the Discrete Morse Semiflow2011

    • Author(s)
      Katsuyuki Ishii, Seiro Omata
    • Journal Title

      Appl Math Optim

      Volume: 64 Issue: 3 Pages: 363-415

    • DOI

      10.1007/s00245-011-9145-x

    • Related Report
      2011 Research-status Report
    • Peer Reviewed
  • [Presentation] 1次元 Henon 方程式の3つの正値解の存在2014

    • Author(s)
      梶木屋 龍治
    • Organizer
      振動理論ワークショップ -- 金沢 2014
    • Place of Presentation
      金沢大学サテライト・プラザ
    • Related Report
      2013 Research-status Report
  • [Presentation] 一般化された Henon 方程式の3つの正値解の存在2014

    • Author(s)
      梶木屋 龍治
    • Organizer
      日本数学会
    • Place of Presentation
      学習院大学
    • Related Report
      2013 Research-status Report
  • [Presentation] Positive solutions of the Emden-Fowler equation in hollow thin symmetric domains.2014

    • Author(s)
      Ryuji Kajikiya
    • Organizer
      2014 International Workshop on Nonlinear PDE and Applications
    • Place of Presentation
      Pusan National University, Pusan, Korea
    • Related Report
      2013 Research-status Report
    • Invited
  • [Presentation] Positive solutions of the p-Laplace Emden-Fowler equation in hollow thin symmetric domains2013

    • Author(s)
      Ryuji Kajikiya
    • Organizer
      Equadiff13
    • Place of Presentation
      Charles University, Prague, Czech Republic
    • Related Report
      2013 Research-status Report
  • [Presentation] Positive symmetric solutions of the generalized Henon equation2013

    • Author(s)
      梶木屋 龍治
    • Organizer
      岡山理科大学における微分方程式セミナー
    • Place of Presentation
      岡山理科大学
    • Related Report
      2013 Research-status Report
  • [Presentation] Partially symmetric solutions of the generalized Henon equation2013

    • Author(s)
      梶木屋 龍治
    • Organizer
      日本数学会
    • Place of Presentation
      愛媛大学
    • Related Report
      2013 Research-status Report
  • [Presentation] 非線形熱方程式の解の漸近挙動と自己相似解2013

    • Author(s)
      内藤 雄基
    • Organizer
      神戸解析セミナー
    • Place of Presentation
      神戸大学
    • Related Report
      2012 Research-status Report
    • Invited
  • [Presentation] Global behavior of solutions to semilinear heat equations2013

    • Author(s)
      Yuki Naito
    • Organizer
      International Conference "Quantization blow-up and concentration in mathematical physics view point"
    • Place of Presentation
      大阪大学
    • Related Report
      2012 Research-status Report
    • Invited
  • [Presentation] 穴の空いた対称領域におけるEmden-Fowler方程式の正値解の非対称性2013

    • Author(s)
      梶木屋龍治
    • Organizer
      日本数学会 年会
    • Place of Presentation
      京都大学
    • Related Report
      2012 Research-status Report
  • [Presentation] 穴の空いた対称領域におけるEmden-Fowler方程式の正値解の多重存在2013

    • Author(s)
      梶木屋龍治
    • Organizer
      日本数学会 年会
    • Place of Presentation
      京都大学
    • Related Report
      2012 Research-status Report
  • [Presentation] 穴の空いた薄い対称領域における Emden--Fowler 方程式の正値解2013

    • Author(s)
      梶木屋龍治
    • Organizer
      九州関数方程式セミナー
    • Place of Presentation
      福岡大学セミナーハウス
    • Related Report
      2012 Research-status Report
    • Invited
  • [Presentation] 穴の空いた薄い対称領域における Emden--Fowler 方程式の正値解2013

    • Author(s)
      梶木屋龍治
    • Organizer
      「第7回非線形偏微分方程式と変分問題」
    • Place of Presentation
      首都大学東京
    • Related Report
      2012 Research-status Report
    • Invited
  • [Presentation] An approximation scheme for the planar motion by crystalline curvature2013

    • Author(s)
      石井克幸
    • Organizer
      Functional Analysis and Applications
    • Place of Presentation
      神戸大学
    • Related Report
      2012 Research-status Report
    • Invited
  • [Presentation] An approximation scheme for the planar motion by crystalline curvature2013

    • Author(s)
      石井克幸
    • Organizer
      南大阪応用解析セミナー
    • Place of Presentation
      大阪市立大学
    • Related Report
      2012 Research-status Report
    • Invited
  • [Presentation] Separation structure of positive radial solutions for semilinear elliptic equations2012

    • Author(s)
      内藤雄基
    • Organizer
      平成24年度第2回「南大阪応用数学セミナー」
    • Place of Presentation
      大阪府立大学
    • Related Report
      2012 Research-status Report
    • Invited
  • [Presentation] Global attractivity properties of stationary solutions for semilinear heat equations2012

    • Author(s)
      Yuki Naito
    • Organizer
      5th Euro-Japanese Workshop on Blow-up
    • Place of Presentation
      CIRM, Marseille, France.
    • Related Report
      2012 Research-status Report
    • Invited
  • [Presentation] Global attractivity of self-similar solutions for semilinear heat equations2012

    • Author(s)
      内藤雄基
    • Organizer
      研究集会「広島微分方程式研究会」
    • Place of Presentation
      広島大学理学部
    • Related Report
      2012 Research-status Report
    • Invited
  • [Presentation] 非線形熱方程式の解の漸近挙動と自己相似解2012

    • Author(s)
      内藤雄基
    • Organizer
      熊本大学数学談話会
    • Place of Presentation
      熊本大学
    • Related Report
      2012 Research-status Report
    • Invited
  • [Presentation] Separation structure of positive radial solutions for semilinear elliptic equations2012

    • Author(s)
      Yuki Naito
    • Organizer
      Swiss-Japanese Seminar
    • Place of Presentation
      University of Zurich, Swiss
    • Related Report
      2012 Research-status Report
    • Invited
  • [Presentation] 1次元pラプラス方程式の解の多重分岐2012

    • Author(s)
      梶木屋龍治
    • Organizer
      日本数学会 総合分科会
    • Place of Presentation
      九州大学
    • Related Report
      2012 Research-status Report
  • [Presentation] 点対称及び面対称領域におけるHenon 方程式の最小エネルギー解2012

    • Author(s)
      梶木屋龍治
    • Organizer
      日本数学会 総合分科会
    • Place of Presentation
      九州大学
    • Related Report
      2012 Research-status Report
  • [Presentation] 一般の対称領域における Henon 方程式の解の非対称性2012

    • Author(s)
      梶木屋龍治
    • Organizer
      日本数学会 総合分科会
    • Place of Presentation
      九州大学
    • Related Report
      2012 Research-status Report
  • [Presentation] Symmetry and stability of asymptotic profiles for fast diffusion equations2012

    • Author(s)
      赤木 剛朗、梶木屋龍治
    • Organizer
      日本数学会 総合分科会
    • Place of Presentation
      九州大学
    • Related Report
      2012 Research-status Report
  • [Presentation] Symmetry breaking of least energy solutions of Emden-Fowler equations2012

    • Author(s)
      赤木 剛朗、梶木屋龍治
    • Organizer
      日本数学会 総合分科会
    • Place of Presentation
      九州大学
    • Related Report
      2012 Research-status Report
  • [Presentation] Least energy solutions of the generalized H\'{e}non equation in symmetric domains2012

    • Author(s)
      梶木屋龍治
    • Organizer
      東北大学 「応用数学セミナー」
    • Place of Presentation
      東北大学
    • Related Report
      2012 Research-status Report
    • Invited
  • [Presentation] Semilinear elliptic equations in symmetric domains2012

    • Author(s)
      梶木屋龍治
    • Organizer
      数理解析研究所研究集会「変分問題の展開-確率論と交錯する変分問題」
    • Place of Presentation
      数理解析研究所
    • Related Report
      2012 Research-status Report
    • Invited
  • [Presentation] 対称領域における Henon 方程式の解の非対称性2012

    • Author(s)
      梶木屋龍治
    • Organizer
      「愛知教育大学における微分方程式セミナー」
    • Place of Presentation
      愛知教育大学
    • Related Report
      2012 Research-status Report
    • Invited
  • [Presentation] 穴の空いた薄い対称領域における Emden--Fowler 方程式の正値解2012

    • Author(s)
      梶木屋龍治
    • Organizer
      横浜国立大学セミナー
    • Place of Presentation
      横浜国立大学
    • Related Report
      2012 Research-status Report
    • Invited
  • [Presentation] On the convergence of an area minimizing scheme for anisotropic mean curvature flow2012

    • Author(s)
      石井克幸
    • Organizer
      Seminar on Partial Differential Equations in Osaka 2012
    • Place of Presentation
      大阪大学
    • Related Report
      2012 Research-status Report
    • Invited
  • [Presentation] On the convergence of an area minimizing scheme for anisotropic mean curvature flow2012

    • Author(s)
      石井克幸
    • Organizer
      第 8 回非線型の諸問題
    • Place of Presentation
      宮崎県婦人会
    • Related Report
      2012 Research-status Report
    • Invited
  • [Presentation] 平均曲率流に対する近似アルゴリズムの数学解析2012

    • Author(s)
      石井克幸
    • Organizer
      日本数学会秋季総合分科会 関数方程式論分科会特別講演
    • Place of Presentation
      九州大学
    • Related Report
      2012 Research-status Report
    • Invited
  • [Presentation] On the convergence of an area minimizing scheme for anisotropic mean curvature flow2012

    • Author(s)
      石井克幸
    • Organizer
      非平衡現象の解析における発展方程式理論の新展開
    • Place of Presentation
      京都大学数理解析研究所
    • Related Report
      2012 Research-status Report
    • Invited
  • [Presentation] On the convergence of an area minimizing scheme for anisotropic mean curvature flow2012

    • Author(s)
      石井克幸
    • Organizer
      富山大学基礎解析セミナー
    • Place of Presentation
      富山大学理学部
    • Related Report
      2012 Research-status Report
    • Invited
  • [Presentation] 変分法に基づく平均曲率流の近似アルゴリズムについて2012

    • Author(s)
      石井克幸
    • Organizer
      語ろう数理解析セミナー
    • Place of Presentation
      大阪大学
    • Related Report
      2012 Research-status Report
    • Invited
  • [Presentation] On the convergence of an area minimizing scheme for anisotropic mean curvature flow2012

    • Author(s)
      石井克幸
    • Organizer
      第 10 回浜松偏微分方程式研究集会
    • Place of Presentation
      静岡大学
    • Related Report
      2012 Research-status Report
    • Invited
  • [Presentation] 非線形熱方程式における前向き自己相似解の役割2012

    • Author(s)
      内藤 雄基
    • Organizer
      横浜数学セミナー(招待講演)
    • Place of Presentation
      横浜国立大学
    • Related Report
      2011 Research-status Report
  • [Presentation] Separation structure of positive radial solutions for semilinear elliptic equations2012

    • Author(s)
      Yuki Naito
    • Organizer
      東工大数理解析研究会(招待講演)
    • Place of Presentation
      東京工業大学
    • Related Report
      2011 Research-status Report
  • [Presentation] Stability and instability of self-similar solutions for semilinear heat equations2012

    • Author(s)
      Yuki Naito
    • Organizer
      International Symposium on Nonlinear Analysis and Optimization 2012(招待講演)
    • Place of Presentation
      Pukyong National University
    • Related Report
      2011 Research-status Report
  • [Presentation] Separation structure of positive radial solutions for semilinear elliptic equations2012

    • Author(s)
      Yuki Naito
    • Organizer
      2012 International Workshop on Nonlinear PDE and Applications(招待講演)
    • Place of Presentation
      Pusan National University
    • Related Report
      2011 Research-status Report
  • [Presentation] Non-radial positive solutions of the Henon equation2012

    • Author(s)
      R. Kajikiya
    • Organizer
      International Symposium on Nonlinear Analysis and Optimization 2012(招待講演)
    • Place of Presentation
      Pukyong National University, Pusan, Korea
    • Related Report
      2011 Research-status Report
  • [Presentation] Stability and symmetry of positive solutions for the Emden-Fowler equation2012

    • Author(s)
      R. Kajikiya
    • Organizer
      2012 International Workshop on Nonlinear PDE and Applications(招待講演)
    • Place of Presentation
      Pusan National University, Pusan, Korea
    • Related Report
      2011 Research-status Report
  • [Presentation] An area minimizing scheme for anisotropic mean curvature flow2012

    • Author(s)
      K. Ishii
    • Organizer
      第 29回九州にお ける偏微分方程式研究集会(招待講演)
    • Place of Presentation
      九州大学西新プラザ
    • Related Report
      2011 Research-status Report
  • [Presentation] An area minimizing scheme for anisotropic mean curvature flow2012

    • Author(s)
      K. Ishii
    • Organizer
      愛媛大学理学部数学科談話会(招待講演)
    • Place of Presentation
      愛媛大学理学部
    • Related Report
      2011 Research-status Report
  • [Presentation] An area minimizing scheme for anisotropic mean curvature flow2012

    • Author(s)
      K. Ishii
    • Organizer
      第 13 回非線形偏微分方程式研究会(招待講演)
    • Place of Presentation
      早稲田大学教育学部
    • Related Report
      2011 Research-status Report
  • [Presentation] A remark on singular eigenvalue problems for second order lnear differential equations2011

    • Author(s)
      Yuki Naito
    • Organizer
      2011 International Workshop on Nonlinear PDE and Applications(招待講演)
    • Place of Presentation
      Pusan National University, Busan, Korea
    • Related Report
      2011 Research-status Report
  • [Presentation] Rectifiable oscillations of radially symmetric solutions of p-Laplace differential equations2011

    • Author(s)
      Yuki Naito
    • Organizer
      International Workshop on Geometric and fractal analysis of PDEs and differential systems-Zagreb 2011(招待講演)
    • Place of Presentation
      University of Zagreb, Zagreb, Croatia
    • Related Report
      2011 Research-status Report
  • [Presentation] Blow-up criteria and self-similarity for semilinear heat equations2011

    • Author(s)
      Yuki Naito
    • Organizer
      The 4th MSJ-SI, Nonlinear Dynamics in Partial Differential Equations(招待講演)
    • Place of Presentation
      Kyusyu University, Fukuoka, Japan
    • Related Report
      2011 Research-status Report
  • [Presentation] Stability and instability of self-similar solutions for semilinear heat equations2011

    • Author(s)
      Yuki Naito
    • Organizer
      第7回非線型の諸問題(招待講演)
    • Place of Presentation
      熊本大学
    • Related Report
      2011 Research-status Report
  • [Presentation] 非線形熱方程式における前進型自己相似解の役割2011

    • Author(s)
      内藤 雄基
    • Organizer
      『応用解析』研究会(招待講演)
    • Place of Presentation
      早稲田大学
    • Related Report
      2011 Research-status Report
  • [Presentation] The role of self-similar solutions for semilinear heat equations2011

    • Author(s)
      Yuki Naito
    • Organizer
      The 8-th East Asia PDE Conference(招待講演)
    • Place of Presentation
      POSTECH, Pohang, Korea
    • Related Report
      2011 Research-status Report
  • [Presentation] Existence of non-radial solutions for the generalized Henon equation2011

    • Author(s)
      R. Kajikiya
    • Organizer
      2011 International Workshop on Nonlinear PDE and Applications(招待講演)
    • Place of Presentation
      Pusan National University, Pusan, Korea
    • Related Report
      2011 Research-status Report
  • [Presentation] Existence of non-radial positive solutions for the generalized Henon equation2011

    • Author(s)
      R. Kajikiya
    • Organizer
      Equadiff 2011(招待講演)
    • Place of Presentation
      Loughborough University, Loughborough, England
    • Related Report
      2011 Research-status Report
  • [Presentation] 一般化されたエノン方程式の非球対称解2011

    • Author(s)
      R. Kajikiya
    • Organizer
      九州関数方程式セミナー
    • Place of Presentation
      福岡大学セミナーハウス
    • Related Report
      2011 Research-status Report
  • [Presentation] エノン方程式の非球対称解の存在について2011

    • Author(s)
      R. Kajikiya
    • Organizer
      岐阜大学における微分方程式セミナー
    • Place of Presentation
      岐阜大学
    • Related Report
      2011 Research-status Report
  • [Presentation] Non-radial positive solutions of the Henon equation2011

    • Author(s)
      R. Kajikiya
    • Organizer
      第37回発展方程式研究会
    • Place of Presentation
      岐阜大学
    • Related Report
      2011 Research-status Report
  • [Presentation] An area minimizing scheme for anisotropic mean curvature flow, Front Propagation, biological problem and related topics2011

    • Author(s)
      K. Ishii
    • Organizer
      viscosity solution methods for asymptotic analysis(招待講演)
    • Place of Presentation
      北海道大学大学院理学研究科
    • Related Report
      2011 Research-status Report
  • [Presentation] 面積最小化問題に関連した非等方的平均曲率流に対する近似スキーム,2011

    • Author(s)
      K. Ishii
    • Organizer
      名古屋大学微分方程式セミナー(招待講演)
    • Place of Presentation
      名古屋大学大学院多元数理学研究科
    • Related Report
      2011 Research-status Report
  • [Presentation] エノン方程式の球対称でない解の存在2011

    • Author(s)
      R. Kajikiya
    • Organizer
      日本数学会 総合分科会
    • Place of Presentation
      信州大学
    • Related Report
      2011 Research-status Report
  • [Presentation] Separation structure of positive radaial solutions for semilinear elliptic equations

    • Author(s)
      Yuki Naito
    • Organizer
      The 2nd Hanbat PDE Conference
    • Place of Presentation
      Hanbat National University, Daejeon, Korea
    • Related Report
      2013 Research-status Report
    • Invited
  • [Presentation] Separation structure of positive radial solutions for semilinear elliptic equations

    • Author(s)
      内藤 雄基
    • Organizer
      振動理論ワークショップ - 金沢 2014
    • Place of Presentation
      金沢大学サテライト・プラザ
    • Related Report
      2013 Research-status Report
  • [Presentation] Global attractivity in the weighted norm for a supercritical semilinear heat equation

    • Author(s)
      Yuki Naito
    • Organizer
      2014 International Workshop on Nonlinear PDE and Applications
    • Place of Presentation
      Pusan National University, Busan, Korea
    • Related Report
      2013 Research-status Report
    • Invited
  • [Presentation] 変分法に基づく平均曲率流の近似問題について

    • Author(s)
      石井 克幸
    • Organizer
      神戸大学解析セミナー
    • Place of Presentation
      神戸大学理学部
    • Related Report
      2013 Research-status Report
  • [Presentation] On the convergence of an algorithm for the anisotropic mean curvature flow and its application to the crystalline curvature flow in the plane

    • Author(s)
      石井 克幸
    • Organizer
      室蘭工業大学応用解析セミナー
    • Place of Presentation
      室蘭工業大学
    • Related Report
      2013 Research-status Report
    • Invited
  • [Presentation] Convergence of an approximation scheme for the mean curvature flow and its application

    • Author(s)
      Katsuyuki Ishii
    • Organizer
      Seminaire d'analyse numerique
    • Place of Presentation
      Universit'e de Rennes 1 (France)
    • Related Report
      2013 Research-status Report
    • Invited
  • [Presentation] Mathematical analysis to some approximate problems for mean curvature flow

    • Author(s)
      Katsuyuki Ishii
    • Organizer
      Seminaire d'Analyse
    • Place of Presentation
      Universit'e Francois-Rabelais de Tours (France)
    • Related Report
      2013 Research-status Report
    • Invited
  • [Presentation] 穴の空いた対称領域におけるEmden-Fowler方程式の正値解の多重存在

    • Author(s)
      梶木屋 龍治
    • Organizer
      南大阪応用数学セミナー
    • Place of Presentation
      大阪市立大学
    • Related Report
      2013 Research-status Report
    • Invited
  • [Presentation] Three positive solutions of the generalized Henon equation

    • Author(s)
      梶木屋 龍治
    • Organizer
      半田山微分方程式セミナー
    • Place of Presentation
      岡山理科大学
    • Related Report
      2013 Research-status Report
    • Invited
  • [Presentation] 一般化された1次元 Henon 方程式の3つの正値解の存在

    • Author(s)
      梶木屋 龍治
    • Organizer
      横浜数学セミナー
    • Place of Presentation
      横浜国立大学
    • Related Report
      2013 Research-status Report
    • Invited

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Published: 2011-08-05   Modified: 2019-07-29  

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