ISHIWATA Michinori 石渡通徳

Researcher Number	30350458
Other IDs
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Affiliation *help	2014 – 2017 : 大阪大学, 基礎工学研究科, 准教授 2014 – 2015 : 大阪大学, 大学院基礎工学研究科, 准教授 2010 – 2013 : Muroran Institute of Technology, 共生システム理工学類, 准教授 2011 : 福島大学, 共生システム, 准教授 2010 – 2011 : 福島大学, 理工学群, 准教授 … More
Review Section/Research Field	Principal Investigator Global analysis / Mathematical analysis Except Principal Investigator Mathematical analysis / Global analysis / Basic analysis / Global analysis
Keywords	Principal Investigator 変分法 / 非コンパクト性 / コンパクト性の破れ / 無限時間爆発 / 放物型方程式 / 変分問題 / 変分解析 / 楕円型方程式 / 半線形放物型方程式 / 関数方程式の大域理論 … More Except Principal Investigator 特異性 / 関数方程式 / 解析学 / 非線形偏微分方程式 / 非線形現象 / 質量量子化 / 変分法 / Hadamard変分 / 楕円型方程式 / Trudinger-Moser 不等式 / 形状解析 / 記憶形状物質 / 移流拡散方程式 / 自己相似解 / スケーリング / 臨界指数 / 関数不等式 / 拡散方程式 / 関数解析 / 関数解析学 / 質量集中現象 / Singular Perturbation / 漸近挙動 / 非線形波動方程式 / 散逸 / 熱方程式 / 非線形解析 / サブコラプスの生成 / Evolution Equations / 安定解 / Symmetry / 非線形発展方程式 / 臨界密度 / 変分構造 / 凝縮 / 変分問題 / Variational Problems / タイプIIの爆発レート / 点渦乱流平均場 / 偏微分方程式 / 関数方程式の大域理論 / Hardy 不等式 / 非線形 / 退化放物型方程式 / Trudinger 型不等式 / 非局所放物型方程式 / 循環的階層 / 非線型微分方程式 / 臨界型変分問題 / 非線形熱方程式 / Hamiltonian systems / 半導体シュミレーション / Symmetric Criticality / 腫瘍形成 / 解の爆発 / 走化性方程式 / 粘弾性熱方程式 / 粘弾性記憶形状合金 / ハーディー型不等式 / 臨界ソボレフ指数 / 爆発 / 半導体素子設計 / 量子化爆発機構 / コラプスの衝突 / 分岐構造 / Lotka-Volterra系 / 量子化する爆発機構 / 変分原理 / 非局所方程式 / 点渦乱流平均場方程式 / critical point theory / 量子化 / 熱弾性 / 有限モース指数解 / エネルギー汎関数 / Gel’fand 方程式 / 双対変分原理 / 発展方程式 / 爆発解析 / 点渦乱流 / 函数不等式 / 漸近解析 / 自己組織化 / Nonlinear Differential Equations / 非線形楕円型方程式 / nonlinear elliptic equation / 関数方程式論 / 走化性粘菌モデル / Smoluchowski-Poisson方程式 / 圧縮性流体 / singular perturbation / 競合的走化性 / subdifferential Operators / ハミルトン系 / 安定性 / Subdifferential Operators / 双対変分構造 / グリーン関数 / 走化性 / variational problems / Critical Point / 多重バブル解 / 非線型ノイマン境界条件 / 漸近的非退化性 / 非コンパクト解 / コンパクト性の損失 / 非線形スペクトル力学 / 臨界空間 / 特異摂動問題 / ハーディー不等式 / 最良定数 / 非線形問題 / 完全可積分系 Less

A study of asymptotic behavior of threshold orbit arising in gradient systems with noncompact energy structurePrincipal InvestigatorOngoing
- Principal Investigator
  
  石渡通徳
- Project Period (FY)
  2017 – 2019
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Mathematical analysis
- Research Institution
  Osaka University
Analysis of singular nonlinear structure in dissipative systemsOngoing
- Principal Investigator
  
  柳田英二
- Project Period (FY)
  2017 – 2021
- Research Category
  
  Grant-in-Aid for Scientific Research (A)
- Research Field
  
  Mathematical analysis
- Research Institution
  Tokyo Institute of Technology
偏微分方程式における漸近解析と形状解析の融合と革新Ongoing
- Principal Investigator
  
  石毛和弘
- Project Period (FY)
  2015 – 2019
- Research Category
  
  Grant-in-Aid for Scientific Research (A)
- Research Field
  
  Mathematical analysis
- Research Institution
  Tohoku University
変分汎関数の高次情報が拓く楕円型偏微分方程式の解の大域的・幾何学的構造Ongoing
- Principal Investigator
  
  高橋太
- Project Period (FY)
  2015 – 2018
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Mathematical analysis
- Research Institution
  Osaka City University
Explore of undiscovered variational principles in function spaces in real analysis
- Principal Investigator
  
  Takahashi Futoshi
- Project Period (FY)
  2014 – 2016
- Research Category
  
  Grant-in-Aid for Challenging Exploratory Research
- Research Field
  
  Mathematical analysis
- Research Institution
  Osaka City University
偏微分方程式の解の形状と挙動に関する系統的研究Ongoing
- Principal Investigator
  
  柳田英二
- Project Period (FY)
  2012 – 2016
- Research Category
  
  Grant-in-Aid for Scientific Research (A)
- Research Field
  
  Global analysis
- Research Institution
  Tokyo Institute of Technology
Global and asymptotic analysis of critical variational problems with mass/energy concentration phenomena
- Principal Investigator
  
  TAKAHASHI Futoshi
- Project Period (FY)
  2011 – 2014
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Global analysis
- Research Institution
  Osaka City University
A study on the elliptic and the parabolic equations associated with noncompact variational structuresPrincipal Investigator
- Principal Investigator
  
  ISHIWATA Michinori
- Project Period (FY)
  2011 – 2013
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Global analysis
- Research Institution
  Fukushima University
Synthetic study of nonlinear evolution equation and its related topics
- Principal Investigator
  
  OTANI Mitsuharu
- Project Period (FY)
  2009 – 2012
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Basic analysis
- Research Institution
  Waseda University
Analysis for nonlinear critical phenomena described by mean field equations
- Principal Investigator
  
  SUZUKI Takashi
- Project Period (FY)
  2008 – 2012
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Global analysis
- Research Institution
  Osaka University
非局所相互作用系と完全可積分構造の関連の探索
- Principal Investigator
  
  小川卓克
- Project Period (FY)
  2007 – 2009
- Research Category
  
  Grant-in-Aid for Challenging Exploratory Research
- Research Field
  
  Global analysis
- Research Institution
  Tohoku University
A study on the asymptotic behavior of infinite-time blow up solutions for parabolic equations involving critical Hardy-Sobolev exponentPrincipal Investigator
- Principal Investigator
  
  ISHIWATA Michinori
- Project Period (FY)
  2007 – 2010
- Research Category
  
  Grant-in-Aid for Young Scientists (B)
- Research Field
  
  Global analysis
- Research Institution
  Muroran Institute of Technology
ソボレフ臨界指数をもつ非線形放物型方程式の解の漸近挙動に関する研究Principal Investigator
- Principal Investigator
  
  石渡通徳
- Project Period (FY)
  2004 – 2006
- Research Category
  
  Grant-in-Aid for Young Scientists (B)
- Research Field
  
  Global analysis
- Research Institution
  Tohoku University
  Tsuda College
  Waseda University
対称臨界性原理とその非線形偏微分方程式への応用
- Principal Investigator
  
  OTANI Mitsuharu
- Project Period (FY)
  2003 – 2005
- Research Category
  
  Grant-in-Aid for Exploratory Research
- Research Field
  
  Basic analysis
- Research Institution
  Waseda University
Study of nonlinear differential equations via variational methods
- Principal Investigator
  
  TANAKA Kazunaga
- Project Period (FY)
  2002 – 2004
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Global analysis
- Research Institution
  Waseda University

[Book] これからの非線型偏微分方程式2007
- Author(s)
  石渡通徳
- Publisher
  日本評論社
- Data Source
  KAKENHI-PROJECT-19740081
[Book] これからの非線型偏微分方程式(第十章分担執筆)2007
- Author(s)
  石渡通徳
- Total Pages
  303
- Publisher
  日本評論社
- Data Source
  KAKENHI-PROJECT-19740081
[Book] これからの非線型偏微分方程式第10章(「スケール変換不変なエネルギー汎函数をもつ非線型放物型方程式の解の漸近挙動」,共著)2007
- Author(s)
  石渡通徳
- Publisher
  日本評論社
- Data Source
  KAKENHI-PROJECT-19740081
[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 : - Pages : 1-7
- Peer Reviewed / Open Access
- Data Source
  KAKENHI-PROJECT-24224004, KAKENHI-PROJECT-26247014, KAKENHI-PROJECT-15H03631, KAKENHI-PROJECT-25287025, KAKENHI-PROJECT-26610030, KAKENHI-PROJECT-15K17575
[Journal Article] On the effect of equivalent constraints on a maximizing problem associated with the Sobolev type embeddings in $\mathbb{R}^N$2016
- Author(s)
  M. Ishiwata, and H. Wadadw
- Journal Title
  
  Math. Ann.
  
  Volume : 364 Pages : 1043-1068
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-26610030
[Journal Article] On the effect of equivalent constraints on a maximizing problem associated with the Sobolev type embeddings in RN2016
- Author(s)
  M. Ishiwata, H. Wadade
- Journal Title
  
  Mathematische Annalen
  
  Volume : 364 Issue : 3-4 Pages : 1043-1068
- Publisher
  Springer
- Year and Date
  2016-04-01
- Language
  English
- Peer Reviewed / Acknowledgement Compliant
- Data Source
  KAKENHI-PROJECT-26247014, KAKENHI-PROJECT-15H03631, KAKENHI-PROJECT-16H03940, KAKENHI-PROJECT-16K21056
[Journal Article] Sharp remainder of a critical Hardy inequality2016
- Author(s)
  N. Ioku, M. Ishiwata, T. Ozawa
- Journal Title
  
  Archiv der Mathematik
  
  Volume : 106 Pages : 65-71
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-25610027, KAKENHI-PROJECT-25287025, KAKENHI-PROJECT-24224004, KAKENHI-PROJECT-15H03631, KAKENHI-PROJECT-26610030, KAKENHI-PROJECT-26247014
[Journal Article] On a variational problem associated with a Hardy type inequality involving a mean oscillation2015
- Author(s)
  N. Ioku, and M. Ishiwata
- Journal Title
  
  Calc. Var. Partial Differential Equations
  
  Volume : 54 Pages : 3949-3966
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-15H03631, KAKENHI-PROJECT-24244012, KAKENHI-PROJECT-15H02058
[Journal Article] On the sharp constant of the weighted Trudinger-Moser type inequality and an application to nonlinear Klein-Gordon equations2015
- Author(s)
  M. Ishiwata, M. Nakamura, H. Wadade
- Journal Title
  
  Discrete and Continuous Dynamical System - A
  
  Volume : 35 Pages : 4889-4903
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-25400176, KAKENHI-PROJECT-26610030, KAKENHI-PROJECT-26247014, KAKENHI-PROJECT-24244012
[Journal Article] A scale invariant form of a critical Hardy inequality2015
- Author(s)
  N. Ioku, and M. Ishiwata
- Journal Title
  
  Int. Math. Res. Not. IMRN
  
  Volume : 2015 Pages : 8830-8846
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-26610030, KAKENHI-PROJECT-26247013, KAKENHI-PROJECT-24244012
[Journal Article] On the sharp constant for the weighted Trudinger-Moser type inequality of the scaling invariant form2014
- Author(s)
  Michinori Ishiwata, Makoto Nakamura, Hidemitsu Wadade
- Journal Title
  
  Ann. I. H. Poincare
  
  Volume : 31, Issue 2 Pages : 297-314
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-23540232
[Journal Article] On the sharp constant for the weighted Trudinger-Moser type inequality of the scaling invariant form2014
- Author(s)
  M. Ishiwata, M. Nakamura, and H. Wadade
- Journal Title
  
  Ann. Inst. H. Poincare Anal. Non Lineaire
  
  Volume : 31 Pages : 297-314
- Peer Reviewed / Open Access
- Data Source
  KAKENHI-PROJECT-23340038, KAKENHI-PROJECT-26247014, KAKENHI-PROJECT-26610030, KAKENHI-PROJECT-24224003, KAKENHI-PROJECT-24244012
[Journal Article] Multiple positive solutions of semilinear elliptic equations with weight function in exterior domains2013
- Author(s)
  Michinori Ishiwata
- Journal Title
  
  Differential Integral Equations
  
  Volume : 26 Pages : 183-200
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-23340038
[Journal Article] Positive solution to semilinear parabolic equation associated with critical Sobolev exponent2013
- Author(s)
  M. Ishiwata, and T. Suzuki
- Journal Title
  
  NoDEA Nonlinear Differential Equations Appl.
  
  Volume : 20 Pages : 1553-1576
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-23340038, KAKENHI-PROJECT-24244012
[Journal Article] On the existence and nonexistence of maximizers associated with Trudinger-Moser type inequalities in unbounded domains2013
- Author(s)
  Michinori Ishiwata
- Journal Title
  
  Emerging topics on differential equations and their applications
  
  Volume : 10 Pages : 41-53
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-23540232
[Journal Article] On the existence and nonexistence of maximizers associated with Trudinger-Moser type inequalities in unbounded domains2013
- Author(s)
  Michinori Ishiwata
- Journal Title
  
  Emerging topics on differential equations and their applications, Nankai series in pure, applied mathematics and theoretical physics
  
  Volume : 10 Pages : 41-53
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-23540232
[Journal Article] Positive solutions to a semilinear parabolic equation associated with the critical Sobolev exponent2013
- Author(s)
  Michinori Ishiwata, Takashi Suzuki
- Journal Title
  
  Nonlinear Differential Equations and Applications NoDEA
  
  Volume : 20, Issue 4 Pages : 1553-1576
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-23540232
[Journal Article] Multiple positive solutions of semilinear elliptic equations with weight function in exterior domain s2013
- Author(s)
  Michinori Ishiwata
- Journal Title
  
  Differential and Integral Equations
  
  Volume : 26, Numbers 1-2 Pages : 183-200
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-23540232
[Journal Article] Multiple positive solutions of semilinear elliptic equations with weight function in exterior domains2013
- Author(s)
  Michinori Ishiwata
- Journal Title
  
  Differential and Integral Equations
  
  Volume : 26 Pages : 183-200
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-24244012
[Journal Article] On the existence and nonexistence of maximizers associated with Trudinger-Moser type inequalities in unbounded domains2013
- Author(s)
  Michinori Ishiwata
- Journal Title
  
  Emerging topics on differential equations and their applications, Nankai series in pure, applied mathematics and theoretical physics
  
  Volume : 10 Pages : 41-53
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-24244012
[Journal Article] Global solutions for a semilinear heat equation in the exterior domain of a compact set2012
- Author(s)
  K. Ishige and M. Ishiwata
- Journal Title
  
  Discrete Contin. Dyn. Syst.
  
  Volume : 32 Pages : 847-866
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-23340035, KAKENHI-PROJECT-24244012
[Journal Article] Global solutions for a semilinear heat equation in the exterior domain of a compact set2012
- Author(s)
  K.Ishige, M.Ishiwata
- Journal Title
  
  Discrete and Continuous Dynamical Systems
  
  Volume : 32(印刷中) Pages : 3691-3713
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20340034, KAKENHI-PROJECT-23340038, KAKENHI-PROJECT-23540232, KAKENHI-PROJECT-23540244, KAKENHI-PROJECT-24540124
[Journal Article] Heat equation with a singular potential on the boundary and the Kato inequality2012
- Author(s)
  K. Ishige and M. Ishiwata
- Journal Title
  
  J. Anal. Math.
  
  Volume : 118 Pages : 161-176
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-23340035, KAKENHI-PROJECT-23340038, KAKENHI-PROJECT-24244012
[Journal Article] Heat equation with a singular potential on the boundary and the Kato2012
- Author(s)
  Kazuhiro Ishige and Michinori Ishiwata
- Journal Title
  
  Journal d'Analyse Math\'{e}matique
  
  Volume : 118 Pages : 161-176
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-23540232
[Journal Article] Heat equation with a singular potential on the boundary and the Kato inequality2012
- Author(s)
  Kazuhiro Ishige, Michinori Ishiwata
- Journal Title
  
  Journal d'Analyse Mathematique
  
  Volume : 118, Issue 1 Pages : 161-176
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-23540232
[Journal Article] Global solutions for a semilinear heat equation in the exterior domain of a compact set2012
- Author(s)
  Kazuhiro Ishige, Michinori Ishiwata
- Journal Title
  
  Discrete and continuous dynamical systems
  
  Volume : 32, Number 3 Pages : 847-866
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-23540232
[Journal Article] Existence and nonexistence of maximizers for variational problems associated with Trudinger-Moser type inequalities in $￥R^N$2011
- Author(s)
  M.Ishiwata
- Journal Title
  
  Math.Ann.
  
  Volume : 351 Pages : 781-804
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20340034, KAKENHI-PROJECT-23340038
[Journal Article] Existence and nonexistence of maximizers for variational problems associated with Trudinger-Moser type inequalities in R^N2011
- Author(s)
  Michinori Ishiwata
- Journal Title
  
  Mathematische Annalen
  
  Volume : 351 Pages : 781-804
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-23540232
[Journal Article] Existence and nonexistence of maximizers for variational problems associated with Trudinger-Moser type inequalities in R^N2011
- Author(s)
  M.Ishiwata
- Journal Title
  
  Mathematiche Annalen
  
  Volume : (印刷中)
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20340034
[Journal Article] On the asymptotic behavior of unbounded radial solutions for semilinear parabolic problems involving critical Sobolev exponent2010
- Author(s)
  Michinori Ishiwata
- Journal Title
  
  J.Differential Equations 249 No.6
  
  Pages : 1466-1482
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19740081
[Journal Article] Semilinear parabolic equation in \R^N associated with critical Sobolev exponent2010
- Author(s)
  Ryo Ikehata, Michinori Ishiwata, Takashi Suzuki
- Journal Title
  
  Annales de l'Institut Henri Poincare - Analyse non lineaire 27 no.3
  
  Pages : 877-900
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19740081
[Journal Article] On the asymptotic behavior of unbounded radial solutions for semilinear parabolic problems involving critical Sobolev exponent2010
- Author(s)
  Michinori Ishiwata
- Journal Title
  
  J.Differential Equations
  
  Volume : 249 Pages : 1466-1482
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19740081
[Journal Article] Semilinear parabolic equation in R^N associated with critical Sobolev exponent2010
- Author(s)
  R.Ikehata, M Ishiwata, T, Suzuki
- Journal Title
  
  Annales de l'Institut Henri Poincare-Analyse nonlineaire
  
  Volume : 27 Pages : 877-900
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20340034
[Journal Article] On the asymptotic behavior of unbounded radial solutions for semilinear parabolic problems involving critical Sobolev exponent2010
- Author(s)
  M.Ishiwata
- Journal Title
  
  Journal of differential equations
  
  Volume : 249(6) Pages : 1466-1482
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20340034
[Journal Article] Semilinear parabolic equation in ${￥bf R}^N$ associated with critical Sobolev exponent,Ann.Inst. H. Poincar￥'e2010
- Author(s)
  R. Ikehata, M. Ishiwata, and T. Suzuki
- Journal Title
  
  Analyse nonlin￥'eaire
  
  Volume : 27 Pages : 877-900
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20340034
[Journal Article] Semilinear parabolic equation in $￥R^N$ associated with critical Sobolev exponent2010
- Author(s)
  Ryo Ikehata, Michinori Ishiwata, Takashi Suzuki
- Journal Title
  
  Annales de l'Institut Henri Poincare-Analyse nonblineaire
  
  Volume : 27 Pages : 877-900
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19740081
[Journal Article] Existence of multiple solutions for a nonlinearly perturbed elliptic parabolic system in R22009
- Author(s)
  Michinori Ishiwata, Takayoshi Ogawa, Futoshi Takahashi
- Journal Title
  
  Electron. J. Diff. Eqns. Vol.2009,No.32
  
  Pages : 1-10
- Data Source
  KAKENHI-PROJECT-19740081
[Journal Article] Effect of topology on the multiplicity of solutions for some semilinear elliptic systems with critical Sobolev exponent2009
- Author(s)
  Ishiwata Michinori
- Journal Title
  
  Nonlinear Differ. Equ. Appl. 16
  
  Pages : 283-296
- Data Source
  KAKENHI-PROJECT-19740081
[Journal Article] The decay of the solutions for the heat equation with a potential2009
- Author(s)
  Kazuhiro Ishige, Michinori Ishiwata, Tatsuki Kawakami
- Journal Title
  
  Indiana University Mathematics Journal 58,No.6
  
  Pages : 2673-2708
- Data Source
  KAKENHI-PROJECT-19740081
[Journal Article] The decay of the solutions for the heat equation with a potential2009
- Author(s)
  Kazuhiro Ishige, Michinori Ishiwata, Tatsuki Kawakami
- Journal Title
  
  Indiana University Mathematics Journal 58 No.6
  
  Pages : 2673-2708
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19740081
[Journal Article] Effect of topology on the multiplicity of solutions for some semilinear elliptic systems with critical Sobolev exponent2009
- Author(s)
  Michinori Ishiwata
- Journal Title
  
  Nonlinear Differ.Equ.Appl. 16
  
  Pages : 283-296
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19740081
[Journal Article] Existence of multiple solutions for a nonlinearly perturbed elliptic parabolic system in \R^22009
- Author(s)
  Michinori Ishiwata, Takayoshi Ogawa, Futoshi Takahashi
- Journal Title
  
  Electron.J.Diff.Eqns. Vol.2009 No.32
  
  Pages : 1-10
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19740081
[Journal Article] Existence of multiple solutions for nonlinearly perturbed elliptic parabolic system in R^22009
- Author(s)
  Michinori Ishiwata, Futoshi Takahashi, Takayoshi Ogawa
- Journal Title
  
  Electronic journal of differential equations 32
  
  Pages : 1-10
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19740081
[Journal Article] The decay of solutions for the heat equation with a potential2009
- Author(s)
  Kazuhiro Ishige, Michinori Ishiwata, Tastuki Kawakami
- Journal Title
  
  Indiana University Mathematics Journal 58
  
  Pages : 2673-2708
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19740081
[Journal Article] Effect of topology on the multiplicity of solutions for some semilinear elliptic systems with critical Sobolev exponent2009
- Author(s)
  Michinori Ishiwata
- Journal Title
  
  Nonlinear Differential Eq.and Applications 16
  
  Pages : 283-296
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19740081
[Journal Article] Existence of multiple solutions for a nonlinearly perturbed elliptic parabolic system in R22009
- Author(s)
  Michinori Ishiwata, Takayoshi Ogawa, Futoshi Takahashi
- Journal Title
  
  Electron.J.Diff.Eqns 2009, No.32
  
  Pages : 1-10
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19740081
[Journal Article] Asymptotic behavior of strong solutions for nonlinear parabolic equations with critical Sobolev exponent2008
- Author(s)
  Michinori Ishiwata
- Journal Title
  
  Advances in Differential Equations 13(3-4)
  
  Pages : 349-366
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19740081
[Journal Article] Asymptotic behavior of strong solutions for nonlinearparabolic equations with critical Sobolev exponent2008
- Author(s)
  M. Ishiwata
- Journal Title
  
  Adv. Differential Equations 13
  
  Pages : 349-366
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20340034
[Journal Article] Asymptotic behavior of strong solutions for nonlinear parabolic equations with critical Sobolev exponent2008
- Author(s)
  Michinori Ishiwata
- Journal Title
  
  Advances in Differential Equations 13
  
  Pages : 349-366
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19740081
[Journal Article] On bounds for global solutions of semilinear parabolic equations with critical and subcritical Sobolev exponent2007
- Author(s)
  Michinori Ishiwata
- Journal Title
  
  Differential and Integral Equations 20(9)
  
  Pages : 1021-1034
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19740081
[Journal Article] Multiple solutions for semilinear elliptic systems involving critical Sobolev exponent2007
- Author(s)
  Michinori Ishiwata
- Journal Title
  
  Differential and Integral Equations 20(11)
  
  Pages : 1237-1252
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19740081
[Journal Article] On bounds for global solutions of semilinear parabolic equations with critical and subcritical Sobolev exponent,2007
- Author(s)
  M. Ishiwata,
- Journal Title
  
  Differetinal Integral Equations, 20
  
  Pages : 1021-1034
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19654028
[Journal Article] Multiple solutions for semilinear elliptic systems involving critical Sobolev exponent,2007
- Author(s)
  M. Ishiwata,
- Journal Title
  
  Differetinal Integral Equations, 20
  
  Pages : 1237-1252
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19654028
[Journal Article] On bounds for global solutions of semilinear parabolic equations with critical and subcritical Sobolev exponent2007
- Author(s)
  Michinori Ishiwata
- Journal Title
  
  Differential and Integral Equations 20
  
  Pages : 1021-1034
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19740081
[Journal Article] Multiple solutions for semilinear elliptic systems involving critical Sobolev exponent2007
- Author(s)
  Michinori Ishiwata
- Journal Title
  
  Differential and Integral Equations 20
  
  Pages : 1237-1252
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19740081
[Journal Article] Multiple solutions for singularly perturbed semilinear elliptic equations in bounded domains2005
- Author(s)
  Michinori Ishiwata
- Journal Title
  
  Abstract and Applied Analysis 2
  
  Pages : 185-205
- Data Source
  KAKENHI-PROJECT-16740101
[Journal Article] Asymptotic behavior of solutions for some nonlinear parabolic equations involving critical Sobolev exponent2004
- Author(s)
  M.Ishiwata
- Journal Title
  
  GAKUTO Internat.Ser.Math.Sci.Appl. 20
  
  Pages : 450-463
- Data Source
  KAKENHI-PROJECT-14540216
[Journal Article] Concentration compactness principle at infinity with partial symmetry and its application2002
- Author(s)
  M.Ishiwata, M.Otani
- Journal Title
  
  Nonlinear Anal. 51
  
  Pages : 391-407
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-14540216
[Journal Article] Multiple solutions for singularly perturbed semilinear elliptic equations in bounded domains
- Author(s)
  M.Ishiwata
- Journal Title
  
  Abstract and Applied Analysis (in press)
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-14540216
[Journal Article] Existence of a stable set for some nonlinear parabolic equation involving critical Sobolev exponent
- Author(s)
  M.Ishiwata
- Journal Title
  
  Discrete and Continuous Dynamical Systems (in press)
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-14540216
[Journal Article] Existence of a stable set for some nonlinear parabolic equation involving critical Sobolev exponent
- Author(s)
  M.Ishiwata
- Journal Title
  
  Discrete and Continuous Dynamical Systems 印刷中
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-14540216
[Journal Article] Existence and nonexistence of maximizers for variational problems associated with Trudinger-Moser type inequalities in \R^N
- Author(s)
  Michinori Ishiwata
- Journal Title
  
  Math. Ann., to appear.
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19740081
[Journal Article] Multiple solutions for singularly perturbed semilinear elliptic equations in bounded domains
- Author(s)
  M.Ishiwata
- Journal Title
  
  Abstract and Applied Analysis 印刷中
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-14540216
[Presentation] On the variational problem associated with the Trudinger-Moser and the Sobolev type inequalities2016
- Author(s)
  Michinori Ishiwata
- Organizer
  The 33rd Kyushu Symposium on Partial Differential Equations
- Place of Presentation
  Kyushu University, Nishijin Plaza（福岡市早良区）
- Year and Date
  2016-01-29
- Invited
- Data Source
  KAKENHI-PROJECT-24244012
[Presentation] On the existence and nonexistence of maximizers for variational problems associated with Sobolev type embeddings in R^N2015
- Author(s)
  Michinori Ishiwata
- Organizer
  AMS special session on “Geometric inequalities and nonlinear partial differential equations
- Place of Presentation
  University of Nevada, Las Vegas, NV, USA
- Year and Date
  2015-04-19
- Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-24244012
[Presentation] On the solvability of maximizing problems associated with Sobolev type embeddings in \\Bbb R^N2015
- Author(s)
  Michinori Ishiwata
- Organizer
  4th Italian-Japanese workshop on geometric properties for parabolic and elliptic PDE's
- Place of Presentation
  Grand Hotel San Pietro, Palinuro, Italy
- Year and Date
  2015-05-29
- Int'l Joint Research / Invited
- Data Source
  KAKENHI-PROJECT-24244012
[Presentation] Asymptotic behavior of solutions for semilinear parabolic equations with critical Sobolev exponent2015
- Author(s)
  Michinori Ishiwata
- Organizer
  Closed Seminar on Nonlinear PDE
- Place of Presentation
  Osaka Universiry, Toyonaka, Osaka
- Year and Date
  2015-01-04
- Data Source
  KAKENHI-PROJECT-24244012
[Presentation] On the critical Hardy-Sobolev inequality and related results2015
- Author(s)
  Michinori Ishiwata
- Organizer
  第 22 回応用解析研究会シンポジウム
- Place of Presentation
  静岡県熱海市
- Year and Date
  2015-03-03
- Data Source
  KAKENHI-PROJECT-24244012
[Presentation] 関数不等式と変分解析：非コンパクト性を巡って2015
- Author(s)
  石渡　通徳
- Organizer
  RIMS 共同研究「実解析及び変分解析を用いた関数不等式に付随する偏微分方程式の研究」
- Place of Presentation
  京都大学数理解析研究所（京都市左京区）
- Year and Date
  2015-03-12
- Invited
- Data Source
  KAKENHI-PROJECT-24244012
[Presentation] On the effect of equivalent norms on the existence of a maximizer for a variational problem involving the Sobolev type embedding in $\R^N$2014
- Author(s)
  Michinori Ishiwata
- Organizer
  Sixth Euro-Japanese Workshop on Blow-up
- Place of Presentation
  Tokyo Institute of Technology, Tokyo, Japan
- Year and Date
  2014-09-04
- Int'l Joint Research / Invited
- Data Source
  KAKENHI-PROJECT-24244012
[Presentation] On the critical Hardy-type inequalities and related variational problems2014
- Author(s)
  Michinori Ishiwata
- Organizer
  The 10th AIMS Conference on Dynamical Systems Differential Equations and Applications
- Place of Presentation
  Universidad Autonoma de Madrid, Madrid, Spain
- Year and Date
  2014-07-10
- Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-24244012
[Presentation] On the effect of equivalent constraints on a maximizing problem associated with the Sobolev embedding in $\R^N$2014
- Author(s)
  Michinori Ishiwata
- Organizer
  The 10th AIMS Conference on Dynamical Systems Differential Equations and Applications
- Place of Presentation
  Universidad Autonoma de Madrid, Madrid, Spain
- Year and Date
  2014-07-11
- Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-24244012
[Presentation] On the existence and nonexistence of a maximizer for a variational problem for the Sobolev type embedding in $\R^N$2014
- Author(s)
  Michinori Ishiwata
- Organizer
  The 9th East Asia Partial Differential Equations Conference
- Place of Presentation
  Hotel Nikko Nara, Nara, Japan
- Year and Date
  2014-07-28
- Int'l Joint Research / Invited
- Data Source
  KAKENHI-PROJECT-24244012
[Presentation] The scale-invariant log-Hardy inequalities and related variational problems2013
- Author(s)
  Michinori Ishiwata
- Organizer
  3rd Italian-Japanese workshop on geometric properties for parabolic and elliptic PDE's
- Place of Presentation
  Tokyo Institute of Technology, Tokyo, Japan
- Year and Date
  2013-09-06
- Data Source
  KAKENHI-PROJECT-23540232
[Presentation] Semilinear parabolic equation with critical Sobolev exponent2013
- Author(s)
  Michinori Ishiwata
- Organizer
  International Conference Quantization Blow-up and Concentration in Mathematical Physics View Point
- Place of Presentation
  Sigma Hall, Osaka University, Osaka, Japan
- Year and Date
  2013-03-27
- Data Source
  KAKENHI-PROJECT-23540232
[Presentation] On the global compactness type result for weighted energy functional involving Sobolev critical exponent and its applications2013
- Author(s)
  Michinori Ishiwata
- Organizer
  南大阪応用数学セミナー
- Place of Presentation
  大阪市立大学, 大阪
- Year and Date
  2013-04-27
- Data Source
  KAKENHI-PROJECT-23540232
[Presentation] On the scale-invariant critical Hardy's inequality and related variational problems2013
- Author(s)
  Michinori Ishiwata
- Organizer
  EQUADIFF 13
- Place of Presentation
  Faculty of Arts, Charles University, Prague, Czech Republic
- Year and Date
  2013-08-26
- Data Source
  KAKENHI-PROJECT-23540232
[Presentation] Asymptotic behavior of Palais-Smale sequences in the critical problem and its application to semilinear heat equation2012
- Author(s)
  Michinori Ishiwata
- Organizer
  5th Euro-Japanese Workshop on Blow-up, Centre International de Rencontres Mathematiques
- Place of Presentation
  Luminy, France
- Year and Date
  2012-09-10
- Data Source
  KAKENHI-PROJECT-23540232
[Presentation] スカラー場方程式の基底解の退化性について:基礎とその応用 (Part I, Part II)2012
- Author(s)
  Michinori Ishiwata
- Organizer
  第2回室蘭非線形解析セミナー
- Place of Presentation
  室蘭工業大学, 室蘭
- Data Source
  KAKENHI-PROJECT-23540232
[Presentation] Asymptotic behavior of time-global solutions for semilinear heat equation involving critical Sobolev exponent2012
- Author(s)
  Michinori Ishiwata
- Organizer
  5th Polish-Japanese Days on Nonlinear Analysis in Interdisciplinary Sciences - Modellings, Theory and Simulations -
- Place of Presentation
  Kansai seminar house, Kyoto, Japan
- Year and Date
  2012-11-08
- Data Source
  KAKENHI-PROJECT-23540232
[Presentation] Variational problems associated with Trudinger-Moser inequalities in unbounded domains2012
- Author(s)
  Michinori Ishiwata
- Place of Presentation
  University of Milan, Italy
- Year and Date
  2012-12-12
- Data Source
  KAKENHI-PROJECT-23540232
[Presentation] Variational problems associated with Trudinger-Moser inequalities in unbounded domains2012
- Author(s)
  Michinori Ishiwata
- Organizer
  Swiss-Japanese Seminar
- Place of Presentation
  University of Zurich, Zurich, Swiss
- Year and Date
  2012-12-17
- Data Source
  KAKENHI-PROJECT-23540232
[Presentation] On the asymptotic behavior of solutions for semiliear parabolic equations involving critical Sobolev exponent2012
- Author(s)
  Michinori Ishiwata
- Organizer
  The 9th AIMS conference on Dynamical systems, Differential equations and Applications
- Place of Presentation
  Hilton Grand Cypress, Orlando, FL, USA
- Year and Date
  2012-07-05
- Data Source
  KAKENHI-PROJECT-23540232
[Presentation] On the concentration and the leaking phenomena for solutions of reaction-diffusion equations2012
- Author(s)
  Michinori Ishiwata
- Organizer
  応用数学-WPI-AIMR Math Unit 共催セミナー
- Place of Presentation
  東北大学, 仙台
- Year and Date
  2012-07-12
- Data Source
  KAKENHI-PROJECT-23540232
[Presentation] Variational problems associated with Trudinger-Moser type inequalities in unbounded domains2012
- Author(s)
  Michinori Ishiwata
- Organizer
  CONFERENCE ON Evolution Equations, Related Topics and Applications
- Place of Presentation
  Waseda university, Tokyo, Japan
- Year and Date
  2012-03-21
- Data Source
  KAKENHI-PROJECT-23540232
[Presentation] Variational problems associated with Trudinger-Moser inequalities in unbounded domains2012
- Author(s)
  Michinori Ishiwata
- Organizer
  The 9th AIMS conference on Dynamical systems, Differential equations and Applications
- Place of Presentation
  Hilton Grand Cypress, Orlando, FL, USA
- Year and Date
  2012-07-03
- Data Source
  KAKENHI-PROJECT-23540232
[Presentation] Asymptotic behavior of solutions for semilinear parabolic equation with critical Sobolev exponent2012
- Author(s)
  Michinori Ishiwata
- Organizer
  Regularity and Singularity for Geometric Partial Differential Equations and Conservation Laws
- Place of Presentation
  Resarch Institute of Mathematical Science, Kyoto university, Kyoto, Japan
- Year and Date
  2012-06-14
- Data Source
  KAKENHI-PROJECT-23540232
[Presentation] On the existence and nonexistence of maximizers associated with Trudinger-Moser type inequalities in unbounded domains2011
- Author(s)
  Michinori Ishiwata
- Organizer
  Sino-Japan Conference of Young Mathematicians(招待講演)
- Place of Presentation
  Nankai University
- Data Source
  KAKENHI-PROJECT-23540232
[Presentation] Decay estimates for a solution to the Laplace equation with a dynamical boundary condition and related topics2011
- Author(s)
  Michinori Ishiwata
- Organizer
  GEOMETRIC PROPERTIES FOR PARABOLIC AND ELLIPTIC PDE's(招待講演)
- Place of Presentation
  Cortona
- Data Source
  KAKENHI-PROJECT-23540232
[Presentation] On the existence and nonexistence of maximizers associated with Trudinger-Moser type inequalities in unbounded domains2011
- Author(s)
  M.Ishiwata
- Organizer
  Emerging Topics on Differential Equations and their Applications
- Place of Presentation
  Chern Institute, Tianjin(中国)
- Year and Date
  2011-12-06
- Data Source
  KAKENHI-PROJECT-20340034
[Presentation] Decay estimates for a solution to the Laplace equation with a dynamical boundary condition and related topics2011
- Author(s)
  M.Ishiwata
- Organizer
  Second Italian-Japanese Workshop on Geometric Properties for Parabolic and Elliptic PDE's
- Place of Presentation
  Cortona(イタリア)
- Year and Date
  2011-06-20
- Data Source
  KAKENHI-PROJECT-20340034
[Presentation] The existence and the nonexistence of maximizing functions for the variational problems associated with Trudinger-Moser type inequalities in the whole domain2011
- Author(s)
  M.Ishiwata
- Organizer
  MSJ-SI 2011
- Place of Presentation
  九州大学(福岡県)
- Year and Date
  2011-09-20
- Data Source
  KAKENHI-PROJECT-20340034
[Presentation] On the existence and nonexistence of maximizers associated with Trudinger-Moser type inequalities in unbounded domains2011
- Author(s)
  Michinori Ishiwata
- Organizer
  Emerging Topics on Differential Equations and their Applications--Sino-Japan Conference of Young Mathematicians, Chern institute, Nankai University
- Place of Presentation
  Tianjin, People's Republic of China
- Year and Date
  2011-12-06
- Data Source
  KAKENHI-PROJECT-23540232
[Presentation] Decay estimates for a solution to the Laplace equation with a dynamical boundary condition and related topics2011
- Author(s)
  Michinori Ishiwata
- Organizer
  Second Italian-Japanese Workshop on geometric properties for parabolic and elliptic PDE's
- Place of Presentation
  Cortona, Italy
- Year and Date
  2011-06-22
- Data Source
  KAKENHI-PROJECT-23540232
[Presentation] Decay estimates for a solution to the Laplace equation with a dynamical boundary condition and applications2011
- Author(s)
  Michinori Ishiwata
- Organizer
  第525回「応用解析」研究会
- Place of Presentation
  早稲田大学, 早稲田
- Year and Date
  2011-06-04
- Data Source
  KAKENHI-PROJECT-23540232
[Presentation] Decay estimates for the Laplace equation with dynamical boundary condition and its application to haomonic extension inequality2011
- Author(s)
  Michinori Ishiwata
- Organizer
  北九州地区における偏微分方程式研究集会
- Place of Presentation
  九州工業大学, 小倉
- Year and Date
  2011-11-26
- Data Source
  KAKENHI-PROJECT-23540232
[Presentation] The existence and the nonexistence of maximizing functions for the variational problems associated with Trudinger-Moser type inequalities in the whole domain2011
- Author(s)
  Michinori Ishiwata
- Organizer
  MSJ-SI 2011
- Place of Presentation
  Kyusyu university, Hakata, Japan
- Year and Date
  2011-09-20
- Data Source
  KAKENHI-PROJECT-23540232
[Presentation] The existence and the nonexistence of maximizing functions for the variational problems associated with Trudinger-Moser type inequalities in the whole domain2011
- Author(s)
  Michinori Ishiwata
- Organizer
  MSJ-SI 2011(招待講演)
- Place of Presentation
  Kyusyu university
- Data Source
  KAKENHI-PROJECT-23540232
[Presentation] On the dynamical systems with noncompact orbit, RIMS 共同研,Research on the elliptic and the parabolic equations involving the energy functional with lack of compactness2010
- Author(s)
  石渡通徳
- Organizer
  京都大学数理解析研究所
- Place of Presentation
  京都
- Year and Date
  2010-02-17
- Data Source
  KAKENHI-PROJECT-19740081
[Presentation] L^p-L^q type estimates for Laplace equations with dynamical boundary conditions2010
- Author(s)
  石渡通徳
- Organizer
  第18回「応用解析」研究会
- Place of Presentation
  南風荘,箱根
- Year and Date
  2010-03-01
- Data Source
  KAKENHI-PROJECT-19740081
[Presentation] Trace type Hardy inequalities in the half space and related topics2010
- Author(s)
  Michinori Ishiwata
- Place of Presentation
  University of Naples, Italy.
- Year and Date
  2010-11-02
- Data Source
  KAKENHI-PROJECT-19740081
[Presentation] Asymptotic behavior of solutions for semilinear parabolic equations involving critical Sobolev exponent : a variational point of view2010
- Author(s)
  Michinori Ishiwata
- Organizer
  非線形問題に現れる特異性の解析(SNP2010)
- Place of Presentation
  Kansai seminar house, Kyoto, Japan.
- Year and Date
  2010-11-29
- Data Source
  KAKENHI-PROJECT-19740081
[Presentation] Asymptotic behavior of solutions for semilinear parabolic equations involving critical Sobolev exponent2010
- Author(s)
  Michinori Ishiwata
- Organizer
  4th Euro-Japanese Workshop on Blow-up
- Place of Presentation
  Lorentz center, Leiden, Netherland.
- Year and Date
  2010-09-10
- Data Source
  KAKENHI-PROJECT-19740081
[Presentation] On the asymptotic behavior of solutions for semilinear parabolic equations involving critical Sobolev exponent II2010
- Author(s)
  石渡通徳
- Organizer
  広島微分方程式研究会
- Place of Presentation
  広島大学,西条
- Year and Date
  2010-10-08
- Data Source
  KAKENHI-PROJECT-19740081
[Presentation] On the variational problems associated with Trudinger-Moser type inequalties in unbounded domains2010
- Author(s)
  Michinori Ishiwata
- Organizer
  The 8th AIMS donference on Dynamical systems, Differential equations and Applications
- Place of Presentation
  Dresden university of technology, Dresden, German.
- Year and Date
  2010-05-25
- Data Source
  KAKENHI-PROJECT-19740081
[Presentation] On the maximizing problem associated with Trudinger-Moser type inequalities in \R^22010
- Author(s)
  石渡通徳
- Organizer
  松山解析セミナー2010
- Place of Presentation
  愛媛大学,松山
- Year and Date
  2010-02-05
- Data Source
  KAKENHI-PROJECT-19740081
[Presentation] On the existence and nonexistence of maximizers for variational problems asociated with Trudinger-Moser type inequalities in unbouded domains2010
- Author(s)
  石渡通徳
- Organizer
  微分方程式深江ワークショップ
- Place of Presentation
  神戸大学,神戸
- Year and Date
  2010-01-22
- Data Source
  KAKENHI-PROJECT-19740081
[Presentation] Asymptotic behavior of solutions for semilinear parabolic equations involving critical Sobolev exponent : a variational point of view2010
- Author(s)
  Michinori Ishiwata
- Organizer
  非線形問題に現れる特異性の解析(SNP2010)
- Place of Presentation
  関西セミナーハウス
- Year and Date
  2010-11-29
- Data Source
  KAKENHI-PROJECT-19740081
[Presentation] On the variational problems associated with Trudinger-Moser type inequalties in unbounded domains2010
- Author(s)
  Michinori Ishiwata
- Organizer
  The 8th AIMS conference on Dynamical systems, Differential equations and Applications
- Place of Presentation
  Dresden university of technology
- Year and Date
  2010-05-25
- Data Source
  KAKENHI-PROJECT-19740081
[Presentation] Asymptotic behavior of solutions for semilinear parabolic equations involving critical Sobolev exponent2010
- Author(s)
  Michinori Ishiwata
- Organizer
  4th Euro-Japanese Workshop on Blow-up
- Place of Presentation
  Lorentz center, Netherland
- Year and Date
  2010-09-10
- Data Source
  KAKENHI-PROJECT-19740081
[Presentation] Asymptotic behavior of solutions for semilinear parabolic equation sinvolving critical Sobolev exponent : avariational point of view2010
- Author(s)
  M.Ishiwata
- Organizer
  非線形問題に現れる特異性の解析(SNP2010)
- Place of Presentation
  京都府・関西セミナーハウス
- Year and Date
  2010-11-29
- Data Source
  KAKENHI-PROJECT-20340034
[Presentation] On the asymptotic behavior of solutions for semilinear parabolic equations involving critical Sobolev exponent II2010
- Author(s)
  M.Ishiwata
- Organizer
  広島微分方程式研究会
- Place of Presentation
  広島大学
- Year and Date
  2010-10-08
- Data Source
  KAKENHI-PROJECT-20340034
[Presentation] Asymptotic behavior of solutions for semilinear parabolic equations involving critical Sobolev exponent2010
- Author(s)
  M.Ishiwata
- Organizer
  4th Euro-Japanese Workshop on Blow-up
- Place of Presentation
  Lorentz Center, Netherland
- Year and Date
  2010-09-10
- Data Source
  KAKENHI-PROJECT-20340034
[Presentation] Exsitence of maximizing functions for functionals of critical growth2009
- Author(s)
  Michinori Ishiwata
- Organizer
  1st Italian-Japanese workshop on geometric properties for parabolic and elliptic PDE's
- Place of Presentation
  Tohoku University, Sendai, Japan
- Data Source
  KAKENHI-PROJECT-19740081
[Presentation] 臨界ソボレフ指数をもつ半線型熱方程式:変分法的立場から2009
- Author(s)
  石渡通徳
- Organizer
  2009年度日本数学会・春季総合分科会・函数方程式分科会特別講演
- Place of Presentation
  東京大学
- Year and Date
  2009-03-26
- Data Source
  KAKENHI-PROJECT-19740081
[Presentation] Variational problems associated with Trudinger-Moser type inequalities in \R^N2009
- Author(s)
  石渡通徳
- Organizer
  確率論とPDE
- Place of Presentation
  広島大学,広島
- Year and Date
  2009-01-20
- Data Source
  KAKENHI-PROJECT-19740081
[Presentation] Asymptotic behavior of solutions for semilinear parabolic equations involving critical Sobolev exponent2009
- Author(s)
  Michinori Ishiwata
- Place of Presentation
  University of Florence, Italy.
- Year and Date
  2009-11-06
- Data Source
  KAKENHI-PROJECT-19740081
[Presentation] Asymptotic behavior of solutions for semilinear parabolic equations involving critical Sobolev exponent2009
- Author(s)
  Michinori Ishiwata
- Place of Presentation
  University of Naples, Italy.
- Year and Date
  2009-11-03
- Data Source
  KAKENHI-PROJECT-19740081
[Presentation] Exsitence of maximizing functions for functionals of critical growth2009
- Author(s)
  Michinori Ishiwata
- Organizer
  1st Italian-Japanese workshop on geometric properties for parabolic and elliptic PDE's
- Place of Presentation
  Tohoku University, Sendai, Japan.
- Data Source
  KAKENHI-PROJECT-19740081
[Presentation] Exsitence of maximizers for functionals of critical growth2009
- Author(s)
  石渡通徳
- Organizer
  変分問題とその周辺
- Place of Presentation
  京都大学数理解析研究所
- Year and Date
  2009-06-10
- Data Source
  KAKENHI-PROJECT-19740081
[Presentation] The asymptotic behavior of solutions of semilinear parabolic equation with critical Sobolev exponent2009
- Author(s)
  Michinori Ishiwata
- Organizer
  4th Polish - Japanese Days Current advances in applied nonlinear analysis and mathematical modelling issues
- Place of Presentation
  Warsaw/Madralin, Poland.
- Year and Date
  2009-05-20
- Data Source
  KAKENHI-PROJECT-19740081
[Presentation] Existence of an extremal function for Trudinger-Moser type inequalities in the whole domain2009
- Author(s)
  石渡通徳
- Organizer
  第16回応用解析研究会シンポジウム
- Place of Presentation
  熱海
- Year and Date
  2009-03-03
- Data Source
  KAKENHI-PROJECT-19740081
[Presentation] Existence of maximizing functions for functionals of critical growth2009
- Author(s)
  Michinori Ishiwata
- Organizer
  1^<st> Italian-Japanese workshop on geometric properties for parabolic and elliptic PDE's
- Place of Presentation
  Tohoku university
- Year and Date
  2009-06-16
- Data Source
  KAKENHI-PROJECT-19740081
[Presentation] The asymptotic behavior of solutions of semilinear parabolic equation with critical Sobolev exponent2009
- Author(s)
  Michinori Ishiwata
- Organizer
  $th Polish-Japanese days current advances in applied nonlinear analysis
- Place of Presentation
  ICM, Warsaw, Poland
- Year and Date
  2009-05-19
- Data Source
  KAKENHI-PROJECT-19740081
[Presentation] 臨界ソボレフ指数をもつ半線型熱方程式 : 変分法的立場から2009
- Author(s)
  Michinori Ishiwata
- Organizer
  日本数学会
- Place of Presentation
  東京大学
- Year and Date
  2009-03-26
- Data Source
  KAKENHI-PROJECT-19740081
[Presentation] On the variational problems arising from Trudinger-Moser type ineaulaities in unbounded domains2009
- Author(s)
  Michinori Ishiwata
- Organizer
  Workshop on Variational Problems and Elliptic Equations
- Place of Presentation
  Osaka university
- Year and Date
  2009-03-09
- Data Source
  KAKENHI-PROJECT-19740081
[Presentation] On the threshold solutions for semilinear parabolic problems involving critical Sobolev exponent2008
- Author(s)
  Ishiwata Michinori
- Organizer
  Third Euro-Japanese workshop on blow-up
- Place of Presentation
  Tohoku University, Sendai, Japan.
- Year and Date
  2008-09-08
- Data Source
  KAKENHI-PROJECT-19740081
[Presentation] Existece of a maximizer for Trudinger-Moser type inequalities in \Bbb R^22008
- Author(s)
  石渡通徳
- Organizer
  第四回非線型の諸問題
- Place of Presentation
  佐賀大学,佐賀
- Year and Date
  2008-09-22
- Data Source
  KAKENHI-PROJECT-19740081
[Presentation] Potential well type results for critical semilinear parabolic equations with gradient term2008
- Author(s)
  石渡通徳
- Organizer
  日本数学会秋季総合分科会
- Place of Presentation
  東京工業大学
- Year and Date
  2008-09-26
- Data Source
  KAKENHI-PROJECT-19740081
[Presentation] 変分解析入門2008
- Author(s)
  石渡通徳
- Organizer
  サーベイレクチャーシリーズ「非線形問題の数学解析」
- Place of Presentation
  東北大学,仙台
- Data Source
  KAKENHI-PROJECT-19740081
[Presentation] A remark on the asymptotic behavior of solutions for critical parabolic problems II2008
- Author(s)
  石渡通徳
- Organizer
  日本数学会春季総合分科会
- Place of Presentation
  近畿大学
- Year and Date
  2008-03-25
- Data Source
  KAKENHI-PROJECT-19740081
[Presentation] Asymptotic behavior of time global solutions for semilinear parabolic equation with critical Sobolev exponent2008
- Author(s)
  石渡通徳
- Organizer
  第2回岐阜非線形ワークショップ-非線形現象の数理解析-
- Place of Presentation
  岐阜大学,岐阜
- Year and Date
  2008-07-31
- Data Source
  KAKENHI-PROJECT-19740081
[Presentation] Potentiall well type results for critical semilinear parabolic equations with gradient term2008
- Author(s)
  Michinori Ishiwata
- Organizer
  日本数学会
- Place of Presentation
  東京工業大学
- Year and Date
  2008-09-26
- Data Source
  KAKENHI-PROJECT-19740081
[Presentation] Potential well type results for critical semi1inearparabolic eauations with gradient term2008
- Author(s)
  石渡通徳
- Organizer
  日本数学会総合分科会
- Place of Presentation
  東京工業大学
- Year and Date
  2008-09-26
- Data Source
  KAKENHI-PROJECT-20340034
[Presentation] On the concentration phenomena of solutions for semilinear parabolic equations involving critical Sobolev exponent2008
- Author(s)
  Ishiwata Michinori
- Organizer
  Ryukoku Workshop 2008, Recent Progress on Pattern Formation and Dynamics in Mathematical Sciences
- Place of Presentation
  Ryukoku university, Kyoto, Japan.
- Year and Date
  2008-06-13
- Data Source
  KAKENHI-PROJECT-19740081
[Presentation] Multiple existence of positive solutions for semilinear elliptic systems with critical Sobolev exponent2007
- Author(s)
  石渡通徳
- Organizer
  日本数学会秋季総合分科会関数方程式分科会
- Place of Presentation
  東北大学
- Year and Date
  2007-09-21
- Data Source
  KAKENHI-PROJECT-19654028
[Presentation] Bubbling phenomena for semilinear parabolic equations involving critical Sobolev exponent2007
- Author(s)
  石渡通徳
- Organizer
  非線形解析学の手法による数理物理学の研究II
- Place of Presentation
  東北大学
- Year and Date
  2007-12-12
- Data Source
  KAKENHI-PROJECT-19740081
[Presentation] Formation of singularities in time-global solutions for critical semilinear parabolic equations in \Bbb{R}^N2007
- Author(s)
  石渡通徳
- Organizer
  第5回浜松偏微分方程式研究集会
- Place of Presentation
  静岡大学
- Year and Date
  2007-12-17
- Data Source
  KAKENHI-PROJECT-19740081
[Presentation] Multiple existence of positive solutions for semilinear elliptic systems with critical Sobolev exponent2007
- Author(s)
  Michinori Ishiwata
- Organizer
  2007年度日本数学会秋季総合分科会
- Place of Presentation
  東北大学
- Year and Date
  2007-09-21
- Data Source
  KAKENHI-PROJECT-19740081
[Presentation] A remark on the asymptotic behavior of solutions for critical parabolic problem2007
- Author(s)
  Michinori Ishiwata
- Organizer
  2007年度日本数学会秋季総合分科会
- Place of Presentation
  東北大学
- Year and Date
  2007-09-24
- Data Source
  KAKENHI-PROJECT-19740081
[Presentation] A remark on the asymptotic behavior of solutions for critical parabolic problems2007
- Author(s)
  石渡通徳
- Organizer
  日本数学会秋季総合分科会
- Place of Presentation
  東北大学
- Year and Date
  2007-09-24
- Data Source
  KAKENHI-PROJECT-19740081
[Presentation] On the asymptotic behavior of solutions for semilinear parabolic equations with critical Sobolev exponent2007
- Author(s)
  石渡通徳
- Organizer
  研究集会「広島微分方程式研究会」
- Place of Presentation
  広島
- Year and Date
  2007-10-13
- Data Source
  KAKENHI-PROJECT-19740081
[Presentation] Multiple existence of positive solutions for semilinear elliptic systems with critical Sobolev exponent2007
- Author(s)
  石渡通徳
- Organizer
  日本数学会秋季総合分科会
- Place of Presentation
  東北大学
- Year and Date
  2007-09-21
- Data Source
  KAKENHI-PROJECT-19740081
[Presentation] Asymptotic behavior of time-global solutions for a semilinear parabolic equation involving critical Sobolev exponent2007
- Author(s)
  Ishiwata Michinori
- Organizer
  First Chile-Japan workshop on Nonlinear Elliptic and Parabolic PDE
- Place of Presentation
  Centro de modelamiento mathematico, departmento de ingenieria matematica, universidad de Chile, Santiago, Chile.
- Year and Date
  2007-10-23
- Data Source
  KAKENHI-PROJECT-19740081
[Presentation] Radially symmetric infinite-time blow up solutions of some semilinear parabolic equations involving critical Sobolev exponent2007
- Author(s)
  Michinori Ishiwata
- Organizer
  2007年度日本数学会春季総合分科会
- Place of Presentation
  埼玉大学
- Year and Date
  2007-03-29
- Data Source
  KAKENHI-PROJECT-19740081
[Presentation] Scale invariant version of the critical Hardy inequality and the associated variational problems
- Author(s)
  Michinori Ishiwata
- Organizer
  金沢解析セミナー
- Place of Presentation
  金沢大学（石川県）
- Data Source
  KAKENHI-PROJECT-24244012
[Presentation] On the scale-invariant critical Hardy's inequality and related variational problems
- Author(s)
  Michinori Ishiwata
- Organizer
  EQUADIFF 13
- Place of Presentation
  Charles University, Prague, Czech Republic
- Invited
- Data Source
  KAKENHI-PROJECT-24244012
[Presentation] The asymptotic behavior of solutions of semilinear parabolic equation with critical Sobolev exponent
- Author(s)
  Michinori Ishiwata
- Organizer
  4th Polish - Japanese Days Current advances in applied nonlinear analysis and mathematical modelling issues
- Place of Presentation
  Warsaw/Madralin, Poland
- Data Source
  KAKENHI-PROJECT-19740081
[Presentation] On the asymptotic behavior of solutions for semiliear parabolic equations involving critical Sobolev exponent
- Author(s)
  Michinori Ishiwata
- Organizer
  The 9th AIMS conference on Dynamical systems, Differential equations and Applications
- Place of Presentation
  Hilton Grand Cypress, Orlando, FL, USA
- Invited
- Data Source
  KAKENHI-PROJECT-24244012
[Presentation] Asymptotic behavior of Palais-Smale sequences in the critical problem and its application to semilinear heat equation
- Author(s)
  Michinori Ishiwata
- Organizer
  5th Euro-Japanese Workshop on Blow-up
- Place of Presentation
  Centre International de Rencontres Mathematiques, Luminy, Marseille, France
- Invited
- Data Source
  KAKENHI-PROJECT-24244012
[Presentation] Asymptotic behavior of solutions for semilinear parabolic equation with critical Sobolev exponent
- Author(s)
  Michinori Ishiwata
- Organizer
  Regularity and Singularity for Geometric Partial Differential Equations and Conservation Laws
- Place of Presentation
  Resarch Institute of Mathematical Science, Kyoto University（京都府）
- Invited
- Data Source
  KAKENHI-PROJECT-24244012
[Presentation] Variational problems associated with Trudinger-Moser inequalities in unbounded domains
- Author(s)
  Michinori Ishiwata
- Organizer
  The 9th AIMS conference on Dynamical systems, Differential equations and Applications
- Place of Presentation
  Hilton Grand Cypress, Orlando, FL, USA
- Invited
- Data Source
  KAKENHI-PROJECT-24244012
[Presentation] The scale-invariant log-Hardy inequalities and related variational problems
- Author(s)
  Michinori Ishiwata
- Organizer
  3rd Italian-Japanese workshop on geometric properties for parabolic and elliptic PDE's
- Place of Presentation
  Tokyo Institute of Technology（東京都）
- Invited
- Data Source
  KAKENHI-PROJECT-24244012
[Presentation] Variational problems associated with Trudinger-Moser inequalities in unbounded domains
- Author(s)
  Michinori Ishiwata
- Organizer
  Swiss-Japanese Seminar
- Place of Presentation
  University of Zurich, Zurich, Switzerland
- Invited
- Data Source
  KAKENHI-PROJECT-24244012
[Presentation] On the concentration phenomena of solutions for semilinear parabolic equations involving critical Sobolev exponent
- Author(s)
  Michinori Ishiwata
- Organizer
  Ryukoku Workshop 2008, Recent Progress on Pattern Formation and Dynamics in Mathematical Sciences
- Place of Presentation
  Ryukoku university, Kyoto
- Data Source
  KAKENHI-PROJECT-19740081
[Presentation] Asymptotic behavior of time-global solutions for a semilinear parabolic equation involving critical Sobolev exponent
- Author(s)
  Michinori Ishiwata
- Organizer
  First Chile-Japan workshop on Nonlinear Elliptic and Parabolic PDE, Centro de modelamiento mathematico
- Place of Presentation
  departmento de ingenieria matematica, universidad de Chile, Santiago, Chile
- Data Source
  KAKENHI-PROJECT-19740081
[Presentation] On the threshold solutions for semilinear parabolic problems involving critical Sobolev exponent
- Author(s)
  Michinori Ishiwata
- Organizer
  Third Euro-Japanese workshop on blow-up, 2008
- Place of Presentation
  Tohoku University, Sendai
- Data Source
  KAKENHI-PROJECT-19740081
[Presentation] Semilinear parabolic equation with critical Sobolev exponent
- Author(s)
  Michinori Ishiwata
- Organizer
  International Conference Quantization Blow-up and Concentration
- Place of Presentation
  Sigma Hall, Osaka University, Osaka, Japan
- Invited
- Data Source
  KAKENHI-PROJECT-23540232
[Presentation] Asymptotic behavior of time-global solutions for semilinear heat equation involving critical Sobolev exponent
- Author(s)
  Michinori Ishiwata
- Organizer
  5th Polish-Japanese Days on Nonlinear Analysis in Interdisciplinary Sciences
- Place of Presentation
  Kansai seminar house, Kyoto, Japan
- Invited
- Data Source
  KAKENHI-PROJECT-23540232
[Presentation] Variational problems associated with Trudinger-Moser
- Author(s)
  Michinori Ishiwata
- Organizer
  Swiss-Japanese Seminar
- Place of Presentation
  University of Z\"{u}rich, Z\"{u}rich, Swiss
- Invited
- Data Source
  KAKENHI-PROJECT-23540232
[Presentation] Asymptotic behavior of Palais-Smale sequences in the critical problem and its application to semilinear heat equation
- Author(s)
  Michinori Ishiwata
- Organizer
  5th Euro-Japanese Workshop on Blow-up
- Place of Presentation
  Centre International de Rencontres Mathematiques, Luminy, France
- Invited
- Data Source
  KAKENHI-PROJECT-23540232
[Presentation] On the scale-invariant critical Hardy's inequality and related variational problems
- Author(s)
  Michinori Ishiwata
- Organizer
  EQUADIFF 13
- Place of Presentation
  Charles University, Czech Republic
- Invited
- Data Source
  KAKENHI-PROJECT-23540232
[Presentation] On the global compactness type result for weighted energy functional involving Sobolev critical exponent and applications
- Author(s)
  Michinori Ishiwata
- Organizer
  南大阪応用数学セミナー
- Place of Presentation
  大阪市立大学
- Invited
- Data Source
  KAKENHI-PROJECT-23540232
[Presentation] Scale invariant version of the critical Hardy inequality and the associated variational problems
- Author(s)
  Michinori Ishiwata
- Organizer
  金沢解析セミナー
- Place of Presentation
  金沢大学
- Invited
- Data Source
  KAKENHI-PROJECT-23540232
[Presentation] On the global compactness type result for weighted energy functional involving Sobolev critical exponent and its applications
- Author(s)
  Michinori Ishiwata
- Organizer
  南大阪応用数学セミナー
- Place of Presentation
  大阪市立大学理学研究科数学講究室（大阪府）
- Data Source
  KAKENHI-PROJECT-24244012
[Presentation] Semilinear parabolic equation with critical Sobolev exponent
- Author(s)
  Michinori Ishiwata
- Organizer
  International Conference Quantization Blow-up and Concentration in Mathematical Physics View Point
- Place of Presentation
  Sigma Hall, Osaka University（大阪府）
- Invited
- Data Source
  KAKENHI-PROJECT-24244012
[Presentation] Asymptotic behavior of time-global solutions for semilinear heat equation involving critical Sobolev exponent
- Author(s)
  Michinori Ishiwata
- Organizer
  5th Polish-Japanese Days on Nonlinear Analysis in Interdisciplinary Sciences - Modellings, Theory and Simulations -
- Place of Presentation
  Kansai seminar house（京都府）
- Invited
- Data Source
  KAKENHI-PROJECT-24244012
[Presentation] The scale-invariant log-Hardy inequalities and related variational problems
- Author(s)
  Michinori Ishiwata
- Organizer
  3rd Italian-Japanese workshop on geometric properties for parabolic and elliptic PDE's
- Place of Presentation
  Tokyo Institute od Technology
- Invited
- Data Source
  KAKENHI-PROJECT-23540232

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ISHIWATA Michinori 石渡 通徳

Research Projects

Research Products

Co-Researchers

A study of asymptotic behavior of threshold orbit arising in gradient systems with noncompact energy structurePrincipal InvestigatorOngoing

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Analysis of singular nonlinear structure in dissipative systemsOngoing

Principal Investigator

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偏微分方程式における漸近解析と形状解析の融合と革新Ongoing

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Research Institution

変分汎関数の高次情報が拓く楕円型偏微分方程式の解の大域的・幾何学的構造Ongoing

Principal Investigator

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Explore of undiscovered variational principles in function spaces in real analysis

Principal Investigator

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偏微分方程式の解の形状と挙動に関する系統的研究Ongoing

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Global and asymptotic analysis of critical variational problems with mass/energy concentration phenomena

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A study on the elliptic and the parabolic equations associated with noncompact variational structuresPrincipal Investigator

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Synthetic study of nonlinear evolution equation and its related topics

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Analysis for nonlinear critical phenomena described by mean field equations

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非局所相互作用系と完全可積分構造の関連の探索

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A study on the asymptotic behavior of infinite-time blow up solutions for parabolic equations involving critical Hardy-Sobolev exponentPrincipal Investigator

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ソボレフ臨界指数をもつ非線形放物型方程式の解の漸近挙動に関する研究Principal Investigator

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ISHIWATA Michinori 石渡通徳

[Book] これからの非線型偏微分方程式第10章(「スケール変換不変なエネルギー汎函数をもつ非線型放物型方程式の解の漸近挙動」,共著)2007