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ISHIGE Kazuhiro  石毛 和弘

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Researcher Number 90272020
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Affiliation (Current) 2025: 東京大学, 大学院数理科学研究科, 教授
Affiliation (based on the past Project Information) *help 2017 – 2025: 東京大学, 大学院数理科学研究科, 教授
2013 – 2018: 東北大学, 理学研究科, 教授
2011 – 2016: 東北大学, 理学(系)研究科(研究院), 教授
2013: 東北大学, 大学院理学研究科, 教授
2012: 東北大学, 大学院・理学研究科, 教授 … More
2012: 東北大学, 大学院・理工学研究科, 教授
2010: 早稲田大学, 理工学術院, 教授
2010: 東北大学, 大学院・理学研究科, 教授
2010: 東北大学, 理学研究科, 教授
2007 – 2009: Tohoku University, Department of Mathematics, Associate Professor
2005 – 2006: 東北大学, 大学院理学研究科, 助教授
2004 – 2006: Tohoku University, Graduate School of Science, Associate Professor, 大学院・理学研究科, 助教授
2002 – 2003: 名古屋大学, 大学院・多元数理研究科, 助教授
2000 – 2003: Nagoya University, Graduate School of Mathematics, Tokyo Institute of Technology Associate Professor, 大学院・多元数理科学研究科, 助教授
1999: 名大, 多元数理科学研究科, 助教授
1998: Graduate School of Polymathmatics, Nagoya University, Assistant Professor, 大学院・多元数理科学研究科, 助教授
1997: 東北大学, 大学院・情報科学研究科, 助手
1996: 東北大学, 大学院・情報科学研究所, 助手
1995: 東北大学, 大学院・情報科学研究科, 助手 Less
Review Section/Research Field
Principal Investigator
Global analysis / Basic Section 12010:Basic analysis-related / Mathematical analysis / Global analysis / Medium-sized Section 12:Analysis, applied mathematics, and related fields / Broad Section B
Except Principal Investigator
Global analysis / Basic analysis / Mathematical analysis / Basic analysis … More / General mathematics (including Probability theory/Statistical mathematics) / Basic Section 12020:Mathematical analysis-related / 解析学 / Medium-sized Section 12:Analysis, applied mathematics, and related fields / Analysis, Applied mathematics, and related fields / Global analysis / Geometry Less
Keywords
Principal Investigator
熱方程式 / 爆発問題 / 漸近解析 / 形状解析 / 最大点挙動 / 拡散方程式 / ノイマン条件 / 凸性 / 非線形放物型方程式系 / 動的境界条件 … More / 放物型凸 / 爆発集合 / 放物型方程式 / 解の形状 / 漸近展開 / 等高面 / 非負値解 / 反応拡散系モデル / 単安定型方程式 / 進行波解 / ODE 型解 / 非線形放物型方程式 / ODE 解 / 高階線形熱方程式 / Joseph--Lundgren 指数 / シュレーディンガー熱半群 / 初期トレース / F-凹性 / 分数冪熱方程式 / 指数型非線形楕円型方程式 / 凹性保存 / 冪凹性 / 爆発現象 / 冪凹生 / 非線形解析 / 解析学 / 非線形問題 / eigenfunction / exterior domain / movement of hot spots / blow-up problem / heat equation / 固有空間 / ディリクレ境界条件 / エントロピー / 固有関数 / 外部領域 / nonneqstibe solution / neumann condition / blow-up prololem / heat ezuation. / コーシー問題 / 弱連立非線形問題 / ミンコフスキー和 / 冪凸 / 大域挙動 / 藤田臨界指数 / ポアソン核 / ラプラス方程式 / 初期値問題 / 高次漸近展開 / 最大点集合 / 最適減衰評価 / O.D.E.型解 / 非線形楕円型方程式 / 放物型凸性 / 解の微分係数の減衰 / 解の最大点挙動 / 符号変化する解 / 漸近挙動 / 解の凸性 / 解の形 / 大域的挙動 / intrinsic metric / Dirichlet condition / Cauchy problem … More
Except Principal Investigator
熱方程式 / 放物型方程式 / 非線形シュレディンガー方程式 / 楕円型方程式 / 移流拡散方程式 / 一意性 / Navier-Stokes方程式 / 自己相似解 / 反応拡散系 / 正値解 / 変分問題 / 漸近挙動 / 爆発解 / ナビエ・ストークス方程式 / Martin boundary / Martin境界 / ベゾフ空間 / 非適切性 / 適切性 / 楕円型偏微分方程式 / 国際研究者交流 / 非線形熱方程式 / 最大正則性 / 臨界指数 / 非線形偏微分方程式 / 反応拡散方程式 / 解析学 / 調和関数 / 非線形放物型方程式 / 分岐図式 / モース指数 / 拡散方程式 / 優臨界楕円型方程式 / Besov空間 / 調和写像流 / heat equation / 平均値の定理 / fundamental solution / uniqueness / positive solution / ポテンシャル論 / 歪積 / 基本解 / Sierpinski Carpet / Navier-Stokes Equations / BMO関数 / オイラー方程式 / エネルギー不等式 / 特異積分作用素 / 初期値問題 / 放物型偏微分方程式 / 臨界適切性 / 非線型シュレディンガー方程式 / 臨界最大正則性 / Boltzmann 方程式 / 圧縮性Navier-Stokes方程式 / 熱弾性方程式 / コーシー問題 / 調和写像 / 微分幾何学 / 自由境界問題 / 平均曲率流 / 粘性解 / 爆発現象 / 変分法 / 特異性 / 解の爆発 / 領域の幾何 / 非線形楕円型方程式 / 走化性粘菌モデル / 半導体シュミレーション / 臨界密度 / 臨界空間 / 臨界型Sobolev不等式 / 非局所放物型方程式 / 有限時刻爆発 / 質量臨界 / モデュレーション空間 / 時間局所適切性 / 関数方程式 / 弱解の一意性 / 調和解析学 / 偏微分方程式 / 拡散 / 非線形 / パターン形成 / 進行波解 / 漸近解析 / 拡散過程 / マルチン境界 / グリーン関数 / 確率論 / 関数解析学 / 関数方程式論 / 逆問題 / 楕円関数 / 固有値・固有関数 / 厳密解 / 劣臨界楕円型方程式 / 時間局所可解性 / 特異解 / 劣臨界 / 臨界 / 優臨界 / 擬スケール / 球対称解 / 変分的手法 / 臨界楕円型方程式 / 球対称特異解 / ジョセフ・ルンドグレン指数 / ソボレフ優臨界 / 二相分離 / クラスタリング / 拡散型偏微分方程式 / 分数冪時間微分方程式 / 輪郭線 / クリスタライン曲率流 / 平均曲率流方程式 / 全変動流方程式 / 小林・ワレン・カーターエネルギー / 火焔の発生パターン / Shannonの不等式 / 渦度方程式 / 火炎の発生パターン / 圧縮性Navier-Stokes系 / 可解性 / 有界平均振動のクラス / 非圧縮性Navier-Stokes 方程式 / 2次元渦 / 燃焼反応 / 動的境界条件 / 時間大域的可解性 / 燃焼系 / 境界値問題 / 非線型熱方程式 / 非圧縮性粘性流体 / 特異摂動 / 圧縮性Navier-Stokes 方程式 / 燃焼数理モデル / 藤田・加藤連理 / 初期値境界値問題 / 圧縮性粘性磁気流体 / Hall 効果 / 圧縮性粘性流体方程式 / 時間大域解 / Stokes問題 / 藤田-加藤の原理 / 熱方程式の初期値境界値問題 / 慣性波 / 実補間空間 / 端点最大正則性 / 不安定性 / 臨界スケール / 時間局所非適切性 / 燃焼と爆発 / 非圧縮性Navier-Stokes方程式 / 圧縮性粘性流体 / イタリア:スペイン:韓国 / 円柱面 / エネルギー最小解 / 同心球 / 中性導体 / 導電場方程式 / 漸近展開理論 / アレンカーン型方程式 / 数理物理 / 実関数論 / 幾何学 / 物体内空洞逆問題 / 囲い込み法 / 半線形楕円型方程式 / 不変等熱流面 / 複合媒質 / 不変等温面 / 熱拡散方程式 / 分数ブラウン運動 / ブラウン運動 / 散逸 / 特異拡散 / 発展方程式 / 形状解析 / 散逸型方程式 / Crystal Lattices / Variational Problems / Harmonic Map / Differential Geometry / Yang-Mills接続 / 結晶格子 / mean value property / parabolic operator / Bergman projection / Bergman space / 再生核 / 調和関数の可積分性 / ベルグマン核 / Carleson測度 / Toeplitz作用素 / Gleason問題 / Bergman空間 / 平均値の性質 / 放物型作用素 / ベルグマン射影 / ベルグマン空間 / mean curvature flow / Critical Sobolev inequality / Naveir-Stokes equations / nonlinear damped wave equations / Chemotaxis / semiconductor simulation / drift-diffusion equations / nonl-local parabolic equations / 複数Ginzburg-Landau方程式 / 半導体素子方程式 / 複素Ginzburg-Landau方程式 / Dirac方程式 / 解の正則性条件 / Euler方程式 / ゲージ変換 / 対数型臨界Sobolev不等式 / Schroedinger写像 / 鉄磁性モデル / 数値アルゴリズム / 圧縮性ナビエ-ストークス方程式 / 非線形波動方程式 / ナビエ-ストークス方程式 / 非線形消散型波動方程式 / 走化粘性菌モデル / 非局所方物型方程式 / Stokes operator / Non-compact boundary / Helmholtz-Weyl decomposition / Turbulent Solutions / Scaling invariance / Very weak Solutions / Leray-Hopf Class / BMO / L^p-L^q評価 / paraproduct formula / 双線形評価式 / Triebel-Lizorkin空間 / Littlewood-Paley分解 / 渦度の方程式 / 関数空間論 / 基本解の評価 / 半群の理論 / 大域解 / 平均振動 / 渦度ベクトル / Stokes作用素 / 非コンパクト境界 / Helmholtz-Weyl分解 / 乱流解 / スケール不変空間 / 超弱解 / Leray-Hopfクラス / Gauge theory / Dynamical systems / Bifurcation analysis / Hot spot movement / Pattern Formation / Blow up phenomena / Heat equations / Nonlinear Schrodinger Equations / カナダ:イスラエル / 国際情報交換 / 半線形放物型方程式 / 固有値問題 / 半線形熱方程式 / 確率過程 / くりこみ群 / ゲージ理論 / 力学系 / 分岐解析 / 最大点挙動 / heat ball / mean value theorem / Dirichlet problem / harmonic function / 熱球 / ディリクレ問題 / potential theory / Green function / elliptic equation / parabolic equation / 解の一意性 / 非一意性 / perturbation theory / Cauchy problem / elliptic PDE / parabolic PDE / 楕円形偏微分方程式 / 摂動論 / determinantal randomu-point field / Random Matrix / Marka process / Iso perimetic inequality / Fractal / Dirichlet forms / diffusion processes / パーコレーション / ディリクレ形式 / heat kernel / Dirichlet form / determinantal random point field / ランダム行列 / マルコフ過程 / 等周不等式 / フラクタル / Dirichlet形式 / exterior problem / Lorentz space / Stoker operator / singular integral operation / Fowwer transform / Inter polation space / Sobolur Space / 除去可能と特異点 / 半線形放物形方程式 / 弱解の正則性 / L^r-空間 / 斉次ソボレク空間 / ソボレフ不等式 / ハーディ空間 / 双線形作用素 / 安定性 / 応力テンソル / ストークス方程式 / 外部問題 / ローレンツ空間 / ストークス作用素 / クーリエ変換 / 補間空間論 / ソボレフ空間 / Harnack inequality / Intrinsi metric / Unigueness / Initial value problem / Positive solution / Elliptic PDE / Parabolic PDE / 放物型偏徴分方程式 / Martin 境界 / Harnackの不等式 / 内圧的距離 / Harnactの不等式 / 内在的距離 / 双極型 / 単極型 / ベソフ空間 / 係数共鳴 / 端点最大正則性原理 / 変数係数放物型方程式 / 共鳴条件 / 臨界重み空間 / 臨界値 / 解の漸近挙動 / 質量共鳴 / ラマン分光モデル / 臨界分散型方程式 / 臨界函数不等式 / 非線型熱弾性方程式 / 臨界非線型熱方程式 / 藤田指数 / エントロピー / シャノンの不等式 / 不確定性原理 / 臨界質量 / ボルツマン方程式 / 非線形分散型方程式の臨界漸近挙動 / 非線形臨界分散・消散型方程式 / 非線形特異熱方程式 / Chern-Simon-Dirac 方程式 / Keller-Segel 方程式 / Heisenbergの不確定性原理 / 臨界型函数不等式 / 特異極限 / 臨界問題 / 非線形消散型方程式 / 非線形分散型方程式 / フィンランド:韓国:ポーランド:アメリカ / 飛躍型確率過程 / 非局所偏微分方程式 / リッチ流 / ヒルベルト計量 / コットン・テンソル / 共形構造 / CAT(0)幾何学 / ベイユ・ピーターソン幾何学 / 正スカラー曲率 / 射影幾何 / 共形幾何 / リーマン計量 / 射影幾何学 / ローレンツ幾何学 / 凸幾何学 / アインシュタイン方程式 / 双曲幾何学 / 崩壊理論 / リーマン面 / 3次元多様体 / モジュライ空間 / モジュライ / CAT(0)空間 / タイヒミュラー空間 / 一般相対性理論 / アインシュタイン計量 / 双曲計量 / 構造定理 / 劣臨界シュレディンガー半群 / 正値定常解 / 劣臨界作用素 / 臨界作用素 / 重心 / 固有値 / 時間大域的挙動 / シュレディンガー半群 / 時間減衰 / 時間大域挙動 / ホットスポット / 局所最大値原理 / レヴィ過程 / 最適制御理論 / 動的計画原理 / 完全非線形方程式 / 弱ハルナック不等式 / 冪乗ラプラス作用素 / 分数冪ラプラス作用素 / ヘルダー連続 / 処罰法 / 弱Harnack不等式 / ABP最大値原理 / 非局所作用素 / 障害問題 / 完全非線形 / ハルナック不等式 / 比較原理 / 最大値原理 / p-Laplace方程式 / 走化性方程式系 / 非線形楕円型偏微分方程式 / Sobolev臨界指数 / 非線形放物型偏微分方程式 / 定常問題 / 自己相似性 / 初期境界値問題 / 超平面 / 等温面 / イタリア:スペイン / ワインガルテン超曲面 / 解の初期挙動 / 距離関数 / 解の挙動 / 非線形拡散 / リュービル型定理 / 準線形楕円型方程式 / イタリア / 不変な等温面 / p調和拡散方程式(系) / 円柱面の特徴付け / 超平面の特徴付け / 球面の特徴付け / 不変な等位面 / 非線形拡散方程式 / 消散型波動方程式 / entropy汎函数 / 漸近展開 / drift-diffusion system / 最大正則性原理 / ソボレフ臨界指数 / 退化移流拡散方程式 / 斉次Besov空間 / 非線形シュレディンガー方程式 / 非斉次境界値問題 / 強エネルギー不等式 / 局所存在定理 / タイプII型爆発解 / タイプI型爆発解 / keller-Segel系 / 最大正則性定理 / L^p-L^r-型評価 / 時間大域的弱解 / Navier-Stokes 方程式 / Keller-Segel 方程式系 / 偏微分方程式論 / 非線形解析学 / 非線形解析 / ダイナミクス / 定性理論 / 楕円型 / 放物型 / 関数方程式の大域理論 / 走化性モデル / 曲面の運動 / 非一様な媒体 / 曲面・曲線の運動 / 界面 / パターンの崩壊 / 活性因子抑制因子系 / 脂質二層膜の形態変換 / 反応拡散方程式系 / 曲線の運動 / 幾何学的変分問題 / 非一様な媒質 / 活性因子-抑制因子系 / 楕円形方程式 / 小摂動性 / 非負値解 / 半小摂動 / 積分表示 / 熱核 / 解析・評価 / カーン-ヒリヤード流体 / コロフキン作用素 / スペクトルギャップ / 不変部分空間 / ウェイヴレット / 局在振動 / 格子ソリトン / 調和優関数 / 差分ラプラシアン / ウェイトつき積分不等式 / 線形符号 / 多孔質媒体 Less
  • Research Projects

    (44 results)
  • Research Products

    (288 results)
  • Co-Researchers

    (117 People)
  •  偏微分方程式論における解の変容過程の究明と新展開Principal Investigator

    • Principal Investigator
      石毛 和弘
    • Project Period (FY)
      2025 – 2029
    • Research Category
      Grant-in-Aid for Scientific Research (A)
    • Review Section
      Medium-sized Section 12:Analysis, applied mathematics, and related fields
    • Research Institution
      The University of Tokyo
  •  楕円型方程式の精密解析と定性理論の新展開

    • Principal Investigator
      宮本 安人
    • Project Period (FY)
      2024 – 2028
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Review Section
      Basic Section 12020:Mathematical analysis-related
    • Research Institution
      The University of Tokyo
  •  反応拡散系における伝播現象と解の漸近形の研究Principal Investigator

    • Principal Investigator
      石毛 和弘
    • Project Period (FY)
      2023 – 2025
    • Research Category
      Grant-in-Aid for JSPS Fellows
    • Review Section
      Basic Section 12010:Basic analysis-related
    • Research Institution
      The University of Tokyo
  •  Mathematical analysis of fluids and combustion and critation for undiscovered principles

    • Principal Investigator
      Ogawa Takayoshi
    • Project Period (FY)
      2020 – 2023
    • Research Category
      Grant-in-Aid for Challenging Research (Pioneering)
    • Research Field
      Analysis, Applied mathematics, and related fields
    • Research Institution
      Tohoku University
  •  Development of the theory of diffusion equations for analysis on data separation

    • Principal Investigator
      儀我 美一
    • Project Period (FY)
      2020 – 2024
    • Research Category
      Grant-in-Aid for Challenging Research (Pioneering)
    • Review Section
      Medium-sized Section 12:Analysis, applied mathematics, and related fields
    • Research Institution
      The University of Tokyo
  •  Asymptotic expansions of ODE type solutions and their related inverse problemsPrincipal Investigator

    • Principal Investigator
      石毛 和弘
    • Project Period (FY)
      2020 – 2022
    • Research Category
      Grant-in-Aid for JSPS Fellows
    • Review Section
      Basic Section 12010:Basic analysis-related
    • Research Institution
      The University of Tokyo
  •  Study of solution structures of elliptic equations: supercritical, critical and subcritocal cases

    • Principal Investigator
      Miyamoto Yasuhito
    • Project Period (FY)
      2019 – 2023
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Review Section
      Basic Section 12020:Mathematical analysis-related
    • Research Institution
      The University of Tokyo
  •  Systematical geometric analysis and asymptotic analysis for evolution equationsPrincipal Investigator

    • Principal Investigator
      石毛 和弘
    • Project Period (FY)
      2019 – 2023
    • Research Category
      Grant-in-Aid for Scientific Research (S)
    • Review Section
      Broad Section B
    • Research Institution
      The University of Tokyo
  •  Analysis of singular nonlinear structure in dissipative systems

    • Principal Investigator
      Yanagida Eiji
    • Project Period (FY)
      2017 – 2021
    • Research Category
      Grant-in-Aid for Scientific Research (A)
    • Research Field
      Mathematical analysis
    • Research Institution
      The University of Tokyo
      Tokyo Institute of Technology
  •  Fusion and evolution of asymptotic analysis and geometric analysis in partial differential equationsPrincipal Investigator

    • Principal Investigator
      Ishige Kazuhiro
    • Project Period (FY)
      2015 – 2019
    • Research Category
      Grant-in-Aid for Scientific Research (A)
    • Research Field
      Mathematical analysis
    • Research Institution
      The University of Tokyo
      Tohoku University
  •  Geometry of solutions of partial differential equations and the inverse problems accompanied by it

    • Principal Investigator
      SAKAGUCHI SHIGERU
    • Project Period (FY)
      2014 – 2017
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Mathematical analysis
    • Research Institution
      Tohoku University
  •  Elucidations on unexplored regions of problems related to the criticality of nonlinear dissipative and dispersive structures in mathematical models

    • Principal Investigator
      Ogawa Takayoshi
    • Project Period (FY)
      2013 – 2017
    • Research Category
      Grant-in-Aid for Scientific Research (S)
    • Research Field
      Mathematical analysis
    • Research Institution
      Tohoku University
  •  非線形発展方程式の未踏臨界構造の解明

    • Principal Investigator
      小川 卓克
    • Project Period (FY)
      2013 – 2017
    • Research Category
      Grant-in-Aid for Scientific Research (A)
    • Research Field
      Mathematical analysis
    • Research Institution
      Tohoku University
  •  Parabolic concavity of solutions of parabolic equationsPrincipal Investigator

    • Principal Investigator
      Ishige Kazuhiro
    • Project Period (FY)
      2013 – 2015
    • Research Category
      Grant-in-Aid for Challenging Exploratory Research
    • Research Field
      Mathematical analysis
    • Research Institution
      Tohoku University
  •  Geometry of moduli spaces for low dimensional manifolds

    • Principal Investigator
      Yamada Sumio
    • Project Period (FY)
      2012 – 2016
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Geometry
    • Research Institution
      Gakushuin University
      Tohoku University
  •  Towards de Giorgi-Nash-Moser theory on non-linear non-local partial differential equations.

    • Principal Investigator
      KUMAGAI Takashi
    • Project Period (FY)
      2012 – 2013
    • Research Category
      Grant-in-Aid for Challenging Exploratory Research
    • Research Field
      Basic analysis
    • Research Institution
      Kyoto University
  •  Fundamental theory for viscosity solutions of fully nonlinear equations and its applications

    • Principal Investigator
      Koike Shigeaki
    • Project Period (FY)
      2011 – 2015
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Basic analysis
    • Research Institution
      Tohoku University
  •  Geometric properties and asymptotic behavior of solutions of diffusion equationsPrincipal Investigator

    • Principal Investigator
      Ishige Kazuhiro
    • Project Period (FY)
      2011 – 2015
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Global analysis
    • Research Institution
      Tohoku University
  •  Unified investigation on elliptic and parabolic equations

    • Principal Investigator
      KABEYA Yoshitsugu
    • Project Period (FY)
      2011 – 2014
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Global analysis
    • Research Institution
      Osaka Prefecture University
  •  Qualitative properties for the Laplace equation with a dynamical boundary conditionPrincipal Investigator

    • Principal Investigator
      ISHIGE Kazuhiro
    • Project Period (FY)
      2011 – 2012
    • Research Category
      Grant-in-Aid for Challenging Exploratory Research
    • Research Field
      Global analysis
    • Research Institution
      Tohoku University
  •  Theory of global well-posedness on the nonlinear partial differential equations

    • Principal Investigator
      KOZONO Hideo
    • Project Period (FY)
      2008 – 2012
    • Research Category
      Grant-in-Aid for Scientific Research (S)
    • Research Field
      Basic analysis
    • Research Institution
      Waseda University
      Tohoku University
  •  Research for Critical Asymptotic Structure of Nonlinear Evolution Equations

    • Principal Investigator
      OGAWA Takayoshi
    • Project Period (FY)
      2008 – 2012
    • Research Category
      Grant-in-Aid for Scientific Research (A)
    • Research Field
      Global analysis
    • Research Institution
      Tohoku University
  •  Diffusion and Geometry of Domain

    • Principal Investigator
      SAKAGUCHI Shigeru
    • Project Period (FY)
      2008 – 2012
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Basic analysis
    • Research Institution
      Tohoku University
      Hiroshima University
  •  Self-similarity and singularity of solutions for nonlinear parabolic PDEs

    • Principal Investigator
      NALTO Yuki (NAITO Yuki)
    • Project Period (FY)
      2008 – 2010
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Global analysis
    • Research Institution
      Ehime University
      Kobe University
  •  New development of the qualitative theory of nonlinear parabolic and elliptic equations

    • Principal Investigator
      YANAGIDA Eiji
    • Project Period (FY)
      2007 – 2010
    • Research Category
      Grant-in-Aid for Scientific Research (A)
    • Research Field
      Global analysis
    • Research Institution
      Tokyo Institute of Technology
      Tohoku University
  •  Shape of the solutions and asymptotic analysis for the diffusive equationsPrincipal Investigator

    • Principal Investigator
      ISHIGE Kazuhiro
    • Project Period (FY)
      2007 – 2010
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Global analysis
    • Research Institution
      Tohoku University
  •  Qualitative Properties of Solutions of Differential Equations Modeling Biological Pattern Formation

    • Principal Investigator
      TAKAGI Izumi
    • Project Period (FY)
      2006 – 2009
    • Research Category
      Grant-in-Aid for Scientific Research (A)
    • Research Field
      Global analysis
    • Research Institution
      Tohoku University
  •  Asymptotic analysis of heat kernels and Green functions and its applications

    • Principal Investigator
      MURATA Minoru
    • Project Period (FY)
      2005 – 2008
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Basic analysis
    • Research Institution
      Tokyo Institute of Technology
  •  Nonlinear partial differntial equations related to geometric variational problems

    • Principal Investigator
      NAITO Hisashi
    • Project Period (FY)
      2004 – 2007
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Global analysis
    • Research Institution
      Nagoya University
  •  United theory of existence of global solution and its asymptotic behavior to the nonlinear partial differential equations

    • Principal Investigator
      KOZONO Hideo
    • Project Period (FY)
      2003 – 2007
    • Research Category
      Grant-in-Aid for Scientific Research (S)
    • Research Field
      Basic analysis
    • Research Institution
      Tohoku University
  •  Reseach for the singularities and regularity of solutions to crtical nonlinear partial differential equations

    • Principal Investigator
      OGAWA Takayoshi
    • Project Period (FY)
      2003 – 2006
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Global analysis
    • Research Institution
      Tohoku University
      Kyushu University
  •  Mean value property and integrability for parabolic operators

    • Principal Investigator
      SUZUKI Noriaki
    • Project Period (FY)
      2003 – 2005
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Basic analysis
    • Research Institution
      Nagoya University
  •  Asymptotic behavior of solutions for some diffusive equations and its applicationsPrincipal Investigator

    • Principal Investigator
      ISHIGE Kazuhiro
    • Project Period (FY)
      2003 – 2006
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Global analysis
    • Research Institution
      Tohoku University
      Nagoya University
  •  Formation of Singulatiries in Solutions of Nonlinear Schrodinger Equations and Related Fields

    • Principal Investigator
      NAWA Hayato
    • Project Period (FY)
      2002 – 2005
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Global analysis
    • Research Institution
      Osaka University
      Nagoya University
  •  A synthetic study of positive solutions to elliptic and parabolic partial differential equations

    • Principal Investigator
      MURATA Minoru
    • Project Period (FY)
      2001 – 2004
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Basic analysis
    • Research Institution
      TOKYO INSTITUTE OF TECHNOLOGY
  •  Continuation and uniqueness for solutions of partial differential equations

    • Principal Investigator
      SUZUKI Noriaki
    • Project Period (FY)
      2001 – 2002
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Basic analysis
    • Research Institution
      Nagoya University
  •  Structure of nonnegative sloutions of diffusive equetious and its applicationsPrincipal Investigator

    • Principal Investigator
      ISHIGE Kazuhiro
    • Project Period (FY)
      2000 – 2001
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Global analysis
    • Research Institution
      Nagoya University
  •  A new approach to the construction of multi-dimensional diffusion processes via Dirichlet forms and iso perimetric inequalities

    • Principal Investigator
      OSADA Hirofumi
    • Project Period (FY)
      1999 – 2002
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      General mathematics (including Probability theory/Statistical mathematics)
    • Research Institution
      Graduate School of Mathematics, Nagoya University
  •  A versatile study of positive solutions to parabolic and elliptic partial differential equations

    • Principal Investigator
      MURATA Minoru
    • Project Period (FY)
      1999 – 2000
    • Research Category
      Grant-in-Aid for Scientific Research (B).
    • Research Field
      Basic analysis
    • Research Institution
      Tokyo Institute of Technology
  •  熱方程式の解の一意性、及び非一意性についてPrincipal Investigator

    • Principal Investigator
      石毛 和弘
    • Project Period (FY)
      1998
    • Research Category
      Grant-in-Aid for Encouragement of Young Scientists (A)
    • Research Field
      Global analysis
    • Research Institution
      Nagoya University
  •  Structure of positive solutions to second order elliptic and parabolic partial differential equations

    • Principal Investigator
      MURATA Minoru
    • Project Period (FY)
      1997 – 1998
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      解析学
    • Research Institution
      TOKYO INSTITUTE OF TECHNOLOGY
  •  Research on well-posedness for the Navier-Stokes equations

    • Principal Investigator
      KOZONO Hideo
    • Project Period (FY)
      1997 – 2000
    • Research Category
      Grant-in-Aid for Scientific Research (B).
    • Research Field
      解析学
    • Research Institution
      Tohoku University
      Nagoya University
  •  逆問題と情報科学

    • Principal Investigator
      岡田 正巳
    • Project Period (FY)
      1996
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      General mathematics (including Probability theory/Statistical mathematics)
    • Research Institution
      Tohoku University
  •  応用偏微分方程式の数値シミュレーション

    • Principal Investigator
      岡田 正己
    • Project Period (FY)
      1995
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      General mathematics (including Probability theory/Statistical mathematics)
    • Research Institution
      Tohoku University

All 2022 2021 2020 2019 2018 2017 2016 2015 2014 2013 2012 2011 2010 2009 2008 2007 2006 2005 2004 2003 2002 2001 Other

All Journal Article Presentation Book

  • [Book] Geometric Propertties for Parabolic and Elliptic PDE's2016

    • Author(s)
      Gazzola Filippo 、Ishige Kazuhiro、Nitsch Carlo、 Salani Paolo
    • Total Pages
      288
    • Publisher
      Springer International Publishing Switzerland
    • ISBN
      9783319415383
    • Data Source
      KAKENHI-PROJECT-15H02058
  • [Journal Article] New characterizations of log-concavity via Dirichlet heat flow2022

    • Author(s)
      Ishige Kazuhiro、Salani Paolo、Takatsu Asuka
    • Journal Title

      Annali di Matematica Pura ed Applicata (1923 -)

      Volume: 201 Issue: 4 Pages: 1531-1552

    • DOI

      10.1007/s10231-021-01168-5

    • Peer Reviewed / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-19K03494, KAKENHI-PROJECT-20K20284, KAKENHI-PROJECT-19H05599
  • [Journal Article] Existence of solutions to nonlinear parabolic equations via majorant integral kernel2022

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

      Nonlinear Anal

      Volume: 223 Pages: 113025-113025

    • DOI

      10.1016/j.na.2022.113025

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19K03593, KAKENHI-PROJECT-20K03689, KAKENHI-PROJECT-20KK0057, KAKENHI-PROJECT-18H01126, KAKENHI-PROJECT-19H05599, KAKENHI-PROJECT-23K20802
  • [Journal Article] Decay estimates for Schr\"odinger heat semigroup with inverse square potential in Lorentz spaces2022

    • Author(s)
      Kazuhiro Ishige and Yujiro Tateishi
    • Journal Title

      Journal of Evolution Equations

      Volume: 22 Issue: 1 Pages: 1-32

    • DOI

      10.1007/s00028-022-00772-z

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-20J10379, KAKENHI-PROJECT-20K20284, KAKENHI-PROJECT-19H05599
  • [Journal Article] Thresholds for the existence of solutions to inhomogeneous elliptic equations with general exponential nonlinearity2022

    • Author(s)
      Ishige Kazuhiro、Okabe Shinya、Sato Tokushi
    • Journal Title

      Advances in Nonlinear Analysis

      Volume: 11 Issue: 1 Pages: 968-992

    • DOI

      10.1515/anona-2021-0220

    • Peer Reviewed / Open Access
    • Data Source
      KAKENHI-PROJECT-20K20284, KAKENHI-PROJECT-19H05599, KAKENHI-PROJECT-23K20802
  • [Journal Article] Optimal singularities of initial functions for solvability of a semilinear parabolic system2022

    • Author(s)
      FUJISHIMA Yohei、ISHIGE Kazuhiro
    • Journal Title

      Journal of the Mathematical Society of Japan

      Volume: 74 Issue: 2 Pages: 591-627

    • DOI

      10.2969/jmsj/86058605

    • ISSN
      0025-5645, 1881-1167, 1881-2333
    • Language
      English
    • Peer Reviewed / Open Access
    • Data Source
      KAKENHI-PROJECT-20K20284, KAKENHI-PROJECT-19H05599
  • [Journal Article] Power concavity for elliptic and parabolic boundary value problems on rotationally symmetric domains2022

    • Author(s)
      Ishige Kazuhiro、Salani Paolo、Takatsu Asuka
    • Journal Title

      Communications in Contemporary Mathematics

      Volume: 24 Issue: 09 Pages: 1-29

    • DOI

      10.1142/s0219199721500978

    • Peer Reviewed / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-19K03494, KAKENHI-PROJECT-20K20284, KAKENHI-PROJECT-19H05599
  • [Journal Article] Solvability of superlinear fractional parabolic equations2022

    • Author(s)
      Fujishima Yohei、Hisa Kotaro、Ishige Kazuhiro、Laister Robert
    • Journal Title

      Journal of Evolution Equations

      Volume: 23 Issue: 1

    • DOI

      10.1007/s00028-022-00853-z

    • Peer Reviewed / Open Access / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-20K20284, KAKENHI-PROJECT-22KK0035, KAKENHI-PROJECT-19K14569
  • [Journal Article] Decay estimates for Schr\"odinger heat semigroup with inverse square potential in Lorentz spaces II2022

    • Author(s)
      Kazuhiro Ishige and Yujiro Tateishi
    • Journal Title

      Discrete and Continuous Dynamical Systems

      Volume: 42 Issue: 1 Pages: 369-401

    • DOI

      10.3934/dcds.2021121

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-20J10379, KAKENHI-PROJECT-20K20284, KAKENHI-PROJECT-19H05599
  • [Journal Article] Initial traces and solvability of Cauchy problem to a semilinear parabolic system2021

    • Author(s)
      FUJISHIMA Yohei、ISHIGE Kazuhiro
    • Journal Title

      Journal of the Mathematical Society of Japan

      Volume: 73 Issue: 4 Pages: 1187-1219

    • DOI

      10.2969/jmsj/84728472

    • NAID

      130008106923

    • ISSN
      0025-5645, 1881-1167, 1881-2333
    • Language
      English
    • Peer Reviewed / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-20K20284, KAKENHI-PROJECT-19K14569, KAKENHI-PROJECT-19H05599
  • [Journal Article] Large time behavior of ODE type solutions to nonlinear diffusion equations2020

    • Author(s)
      J. Eom, K. Ishige
    • Journal Title

      Discrete Contin. Dyn. Syst.

      Volume: 40 Issue: 6 Pages: 3395-3409

    • DOI

      10.3934/dcds.2019229

    • Peer Reviewed / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-20K20284, KAKENHI-PROJECT-20F20327, KAKENHI-PROJECT-19H05599
  • [Journal Article] The Cauchy problem for the Finsler heat equation2020

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

      Adv. Calc. Var.

      Volume: 13 Issue: 3 Pages: 257-278

    • DOI

      10.1515/acv-2017-0048

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-20K20284, KAKENHI-PROJECT-18K18715, KAKENHI-PROJECT-17H01095, KAKENHI-PROJECT-19H05599, KAKENHI-PROJECT-20H01812
  • [Journal Article] Blowup for a Fourth-Order Parabolic Equation with Gradient Nonlinearity2020

    • Author(s)
      Ishige Kazuhiro、Miyake Nobuhito、Okabe Shinya
    • Journal Title

      SIAM Journal on Mathematical Analysis

      Volume: 52 Issue: 1 Pages: 927-953

    • DOI

      10.1137/19m1253654

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-16H03946, KAKENHI-PROJECT-20K20284, KAKENHI-PROJECT-20KK0057, KAKENHI-PROJECT-19J10424, KAKENHI-PROJECT-19H05599
  • [Journal Article] Existence of solutions for an inhomogeneous fractional semilinear heat equation2020

    • Author(s)
      K. Hisa, K. Ishige, J. Takahashi
    • Journal Title

      Nonlinear Anal.

      Volume: 199 Pages: 111920-111920

    • DOI

      10.1016/j.na.2020.111920

    • Peer Reviewed / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-20K20284, KAKENHI-PROJECT-19H05599
  • [Journal Article] The large diffusion limit for the heat equation in the exterior of the unit ball with a dynamical boundary condition2020

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

      Discrete and Continuous Dynamical Systems

      Volume: 40 Issue: 11 Pages: 6529-6546

    • DOI

      10.3934/dcds.2020289

    • Peer Reviewed / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-19K03593, KAKENHI-PROJECT-20K03689, KAKENHI-PROJECT-20K20284, KAKENHI-PROJECT-19H05599
  • [Journal Article] Nonlinear characterizations of stochastic completeness2020

    • Author(s)
      G. Grillo, K. Ishige, M. Muratori
    • Journal Title

      J. Math. Pures Appl.

      Volume: 139 Pages: 63-82

    • DOI

      10.1016/j.matpur.2020.05.008

    • Peer Reviewed / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-20K20284, KAKENHI-PROJECT-19H05599
  • [Journal Article] Blowing up solutions for nonlinear parabolic systems with unequal elliptic operators2020

    • Author(s)
      Y. Fujishima, K. Ishige
    • Journal Title

      J. Dynam. Differential Equations

      Volume: 32 Issue: 3 Pages: 1219-1231

    • DOI

      10.1007/s10884-019-09790-x

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-20K20284, KAKENHI-PROJECT-19K14569, KAKENHI-PROJECT-19H05599
  • [Journal Article] The large diffusion limit for the heat equation with a dynamical boundary condition2020

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

      Communications in Contemporary Mathematics

      Volume: to appear Issue: 01 Pages: 2050003-2050003

    • DOI

      10.1142/s0219199720500030

    • Peer Reviewed / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-19K03593, KAKENHI-PROJECT-16K17629, KAKENHI-PROJECT-18H01126, KAKENHI-PROJECT-20K20284, KAKENHI-PROJECT-19H05599
  • [Journal Article] Large time behavior of ODE type solutions to a nonlinear parabolic system2020

    • Author(s)
      J. Eom, K. Ishige
    • Journal Title

      Nonlinear Anal.

      Volume: 1912020 Pages: 111631-111631

    • DOI

      10.1016/j.na.2019.111631

    • Peer Reviewed / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-20K20284, KAKENHI-PROJECT-20F20327, KAKENHI-PROJECT-19H05599
  • [Journal Article] Existence of solutions for a higher-order semilinear parabolic equation with singular initial data2020

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

      Ann. Inst. H. Poincare; Anal. Non Lineaire

      Volume: 37 Issue: 5 Pages: 1185-1209

    • DOI

      10.1016/j.anihpc.2020.04.002

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19K03593, KAKENHI-PROJECT-20K20284, KAKENHI-PROJECT-20KK0057, KAKENHI-PROJECT-19H05599
  • [Journal Article] Parabolic Minkowski convolutions and concavity properties of viscosity solutions to fully nonlinear equations2020

    • Author(s)
      Kazuhiro Ishige, Qing Liu, Paolo Salani
    • Journal Title

      J. Math. Pures Appl.

      Volume: - Pages: 342-370

    • DOI

      10.1016/j.matpur.2019.12.010

    • Peer Reviewed / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-19K03574, KAKENHI-PROJECT-20K20284, KAKENHI-PROJECT-19H05599
  • [Journal Article] Critical Fujita exponents for semilinear heat equations with quadratically decaying potential2020

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

      Indiana Univ. Math. J.

      Volume: 69 Issue: 6 Pages: 2171-2207

    • DOI

      10.1512/iumj.2020.69.7989

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-20K20284, KAKENHI-PROJECT-19H05599
  • [Journal Article] Spatial concavity of solutions to parabolic systems2020

    • Author(s)
      K. Ishige, K. Nakagawa, P. Salani
    • Journal Title

      Ann. Sc. Norm. Super. Pisa Cl. Sci.

      Volume: 20 Pages: 291-313

    • DOI

      10.2422/2036-2145.201711_009

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-20K20284, KAKENHI-PROJECT-19H05599
  • [Journal Article] A supercritical scalar field equation with a forcing term2019

    • Author(s)
      K. Ishige, S. Okabe and T. Sato
    • Journal Title

      J. Math. Pures Appl.

      Volume: 128 Pages: 183-212

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19H01797
  • [Journal Article] Solvability of the heat equation with a nonlinear boundary condition2019

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

      SIAM J. Math. Anal.

      Volume: 51 Pages: 565-594

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-20K20284
  • [Journal Article] Rate of convergence in the large diffusion limit for the heat equation with a dynamical boundary condition2019

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

      Asymptotic Analysis

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

    • DOI

      10.3233/asy-181517

    • Peer Reviewed / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-17H01095, KAKENHI-PROJECT-19H05599
  • [Journal Article] Hot spots of solutions to the heat equation with inverse square potential2019

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

      Applicable Analysis

      Volume: 98 Issue: 10 Pages: 1843-1861

    • DOI

      10.1080/00036811.2018.1466284

    • Peer Reviewed / Open Access
    • Data Source
      KAKENHI-PROJECT-15K04965, KAKENHI-PROJECT-19K03588, KAKENHI-PROJECT-17H01095, KAKENHI-PROJECT-19H05599
  • [Journal Article] Hot spots of solutions to the heat equation with inverse square potential2019

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

      Appl. Anal.

      Volume: 98 Pages: 1843-1861

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-20K20284
  • [Journal Article] Solvability of the heat equation with a nonlinear boundary condition2019

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

      SIAM J. Math. Anal.

      Volume: 51 Issue: 1 Pages: 565-594

    • DOI

      10.1137/17m1131416

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-25220702, KAKENHI-PROJECT-17H01095, KAKENHI-PROJECT-19H01797, KAKENHI-PROJECT-19H05599
  • [Journal Article] Rate of convergence in the large diffusion limit for the heat equation with a dynamical boundary condition2019

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

      Asymptot. Anal.

      Volume: 114

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-20K20284
  • [Journal Article] Rate of convergence in the large diffusion limit for the heat equation with a dynamical boundary condition2019

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

      Asymptot. Anal.

      Volume: 114 Pages: 37-57

    • Peer Reviewed / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-19H01797
  • [Journal Article] To logconcavity and beyond2019

    • Author(s)
      Kazuhiro Ishige, Paolo Salani, Asuka Takatsu
    • Journal Title

      Communications in Contemporary Mathematics

      Volume: 印刷中 Issue: 02 Pages: 1950009-1950009

    • DOI

      10.1142/s0219199719500093

    • Peer Reviewed / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-16KT0132, KAKENHI-PROJECT-15K17536, KAKENHI-PROJECT-19K03494, KAKENHI-PROJECT-20K20284, KAKENHI-PROJECT-19H01786, KAKENHI-PROJECT-19H05599
  • [Journal Article] A supercritical scalar field equation with a forcing term2019

    • Author(s)
      K. Ishige, S. Okabe and T. Sato,
    • Journal Title

      J. Math. Pures Appl.

      Volume: 128 Pages: 183-212

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-20K20284
  • [Journal Article] A supercritical scalar field equation with a forcing term2019

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

      Journal de Mathematiques Pures et Appliquees

      Volume: 128 Pages: 183-212

    • DOI

      10.1016/j.matpur.2019.04.003

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-17H01095, KAKENHI-PROJECT-16H03946, KAKENHI-PROJECT-19H05599
  • [Journal Article] Existence of solutions for a fractional semilinear parabolic equation with singular initial data2018

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

      Nonlinear Anal.

      Volume: 175 Pages: 108-132

    • DOI

      10.1016/j.na.2018.05.011

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-17H01095, KAKENHI-PROJECT-25220702, KAKENHI-PROJECT-15H02058
  • [Journal Article] Existence of solutions for a fractional semilinear parabolic equation with singular initial data,2018

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

      Nonlinear Anal.

      Volume: 175 Pages: 108-132

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-20K20284
  • [Journal Article] Large time behavior of solutions of the heat equation with inverse square potential2018

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

      Discrete Contin. Dyn. Syst.

      Volume: 38 Issue: 8 Pages: 4041-4069

    • DOI

      10.3934/dcds.2018176

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-17H01095, KAKENHI-PROJECT-15H02058
  • [Journal Article] Large time behavior of solutions of the heat equation with inverse square potential.2018

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

      Discrete Contin. Dyn. Syst.

      Volume: 38 Pages: 4041-4069

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-25220702
  • [Journal Article] Large time behavior of solutions of the heat equation with inverse square potential,2018

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

      Discrete Contin. Dyn. Syst.

      Volume: 38 Pages: 4041-4069

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-20K20284
  • [Journal Article] The heat kernel of a Schroedinger operator with inverse square potential2017

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

      Proceedings of the London Mathematical Society

      Volume: 115 Issue: 2 Pages: 381-410

    • DOI

      10.1112/plms.12041

    • Peer Reviewed / Open Access / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-15K04965, KAKENHI-PROJECT-24244012, KAKENHI-PROJECT-17H01095, KAKENHI-PROJECT-15H03631, KAKENHI-PROJECT-25220702, KAKENHI-PROJECT-15H02058, KAKENHI-PROJECT-20K20284
  • [Journal Article] Heat equation with a nonlinear boundary condition and growing initial data2017

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

      Differential Integral Equations

      Volume: 30 Pages: 481-504

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-17H01095
  • [Journal Article] An exterior nonlinear elliptic problem with a dynamical boundary condition2017

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

      Rev. Mat. Complut.

      Volume: - Issue: 2 Pages: 281-312

    • DOI

      10.1007/s13163-017-0225-6

    • Peer Reviewed / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-26287020, KAKENHI-PROJECT-16K17629, KAKENHI-PROJECT-17H01095, KAKENHI-PROJECT-25220702, KAKENHI-PROJECT-15H02058, KAKENHI-PROJECT-20K20284
  • [Journal Article] Asymptotic expansions of solutions of fractional diffusion equations2017

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

      SIAM J. Math. Anal.

      Volume: -

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-26287020
  • [Journal Article] Heat equation with a nonlinear boundary condition and growing initial data2017

    • Author(s)
      Ishige, Kazuhiro; Sato, Ryuichi
    • Journal Title

      Differential Integral Equations

      Volume: 30 Pages: 481-504

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-25220702
  • [Journal Article] Heat equation with a nonlinear boundary condition and growing initial data2017

    • Author(s)
      Ishige, Kazuhiro; Sato, Ryuichi
    • Journal Title

      Differential Integral Equations

      Volume: 30 Pages: 481-504

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-20K20284
  • [Journal Article] Blow-up set of type I blowing up solutions for nonlinear parabolic systems2017

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

      Mathematische Annalen

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

    • DOI

      10.1007/s00208-016-1498-7

    • Peer Reviewed / Open Access
    • Data Source
      KAKENHI-PROJECT-15K17573, KAKENHI-PROJECT-17H01095, KAKENHI-PROJECT-25220702, KAKENHI-PROJECT-15H02058, KAKENHI-PROJECT-20K20284
  • [Journal Article] Asymptotic expansions of solutions of fractional diffusion equations2017

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

      SIAM Journal on Mathematical Analysis

      Volume: 49 Issue: 3 Pages: 2167-2190

    • DOI

      10.1137/16m1101428

    • Peer Reviewed / Open Access
    • Data Source
      KAKENHI-PROJECT-16K17629, KAKENHI-PROJECT-17H01095, KAKENHI-PROJECT-25220702, KAKENHI-PROJECT-15H02058, KAKENHI-PROJECT-20K20284
  • [Journal Article] Minimal solutions of a semilinear elliptic equation with a dynamical boundary condition2016

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

      Journal de Mathematiques Pures et Appliquees

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

    • DOI

      10.1016/j.matpur.2015.11.014

    • Peer Reviewed / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-26287020, KAKENHI-PROJECT-24740107, KAKENHI-PROJECT-15H02058
  • [Journal Article] Supersolutions for a class of nonlinear parabolic systems2016

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

      J. Differential Equations

      Volume: 260 Issue: 7 Pages: 6084-6107

    • DOI

      10.1016/j.jde.2015.12.031

    • Peer Reviewed / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-26287020, KAKENHI-PROJECT-24740107, KAKENHI-PROJECT-15H02058
  • [Journal Article] Blow-up behavior of solutions to a degenerate parabolic-parabolic Keller-Segel system2016

    • Author(s)
      K. Ishige, Ph. Laurencot, N. Mizoguchi
    • Journal Title

      Math. Ann.

      Volume: - Issue: 1-2 Pages: 461-499

    • DOI

      10.1007/s00208-016-1400-7

    • Peer Reviewed / Acknowledgement Compliant / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-26287021, KAKENHI-PROJECT-15H02058, KAKENHI-PROJECT-25220702, KAKENHI-PROJECT-20K20284
  • [Journal Article] The Phragmen-Lindelof theorem for a fully nonlinear elliptic problem with a dynamical boundary condition2016

    • Author(s)
      Ishige Kazuhiro、Nakagawa Kazushige
    • Journal Title

      Springer Proceedings in Mathematics & Statistics

      Volume: 176 Pages: 159-171

    • DOI

      10.1007/978-3-319-41538-3_10

    • ISBN
      9783319415369, 9783319415383
    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-15H02058
  • [Journal Article] Positive solutions of a semilinear elliptic equation with singular Dirichlet boundary data2015

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

      J. Elliptic Parabol. Equ.

      Volume: 1

    • Peer Reviewed / Acknowledgement Compliant / Open Access / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-15H02058
  • [Journal Article] Existence of positive solutions of a semilinear elliptic equation with a dynamical boundary condition2015

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

      Calc. Var. Partial Differential Equations

      Volume: 54 Pages: 2059-2078

    • Peer Reviewed / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-25220702
  • [Journal Article] Sharp decay estimates in Lorentz spaces for nonnegative Schrodinger heat semigroups,2015

    • Author(s)
      Ioku, N., *Ishige, K., Yanagida, E.
    • Journal Title

      J. Math. Pures Appl.

      Volume: 103 Pages: 900-923

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-25220702
  • [Journal Article] Existence of positive solutions of a semilinear elliptic equation with a dynamical boundary condition2015

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

      Calculus of Variations and Partial Differential Equations

      Volume: 54 Issue: 2 Pages: 2059-2078

    • DOI

      10.1007/s00526-015-0856-8

    • Peer Reviewed / Acknowledgement Compliant / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-24740107, KAKENHI-PROJECT-26287020, KAKENHI-PROJECT-15H02058
  • [Journal Article] Positive solutions of a semilinear elliptic equation with singular Dirichlet boundary data2015

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

      J. Elliptic Parabolic Equations

      Volume: 1

    • Peer Reviewed / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-26287020
  • [Journal Article] Sharp decay estimates in Lorentz spaces for nonnegative Schrodinger heat semigroups2015

    • Author(s)
      Norisuke Ioku, K. Ishige and E. Yanagida
    • Journal Title

      J. Math. Pures Appl.

      Volume: 103(4) Issue: 4 Pages: 900-923

    • DOI

      10.1016/j.matpur.2014.09.006

    • Peer Reviewed / Acknowledgement Compliant
    • Data Source
      KAKENHI-PROJECT-24244012, KAKENHI-PROJECT-15H02058
  • [Journal Article] Parabolic power concavity and parabolic boundary value problems2014

    • Author(s)
      Kazuhiro Ishige and Paolo Salani
    • Journal Title

      Mathematische Annalen

      Volume: 358 Issue: 3-4 Pages: 1091-1117

    • DOI

      10.1007/s00208-013-0991-5

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-25610023, KAKENHI-PROJECT-23340035
  • [Journal Article] Global solutions for a nonlinear integral equation with a generalized heat kernel2014

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

      Discrete and Continuous Dynamical Systems - Series S

      Volume: 7 Issue: 4 Pages: 767-783

    • DOI

      10.3934/dcdss.2014.7.767

    • Peer Reviewed / Acknowledgement Compliant
    • Data Source
      KAKENHI-PROJECT-24740107, KAKENHI-PROJECT-26287020, KAKENHI-PROJECT-23340035
  • [Journal Article] Asymptotics for a nonlinear integral equation with a generalized heat kernel2014

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

      Journal of Evolution Equations

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

    • DOI

      10.1007/s00028-014-0237-3

    • Peer Reviewed / Acknowledgement Compliant / Open Access
    • Data Source
      KAKENHI-PROJECT-24740107, KAKENHI-PROJECT-26287020, KAKENHI-PROJECT-23340035
  • [Journal Article] Blow-up set for type I blowing up solutions for a semilinear heat equation2014

    • Author(s)
      Y. Fujishima and K. Ishige
    • Journal Title

      Ann. Inst. H. Poincare Anal. Non Lineaire

      Volume: 31 Issue: 2 Pages: 231-247

    • DOI

      10.1016/j.anihpc.2013.03.001

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-23340035
  • [Journal Article] A note on parabolic power concavity2014

    • Author(s)
      Kazuhiro Ishige and Paolo Salani
    • Journal Title

      Kodai Mathematical Journal

      Volume: 37 Issue: 3 Pages: 668-679

    • DOI

      10.2996/kmj/1414674615

    • NAID

      130004705918

    • ISSN
      0386-5991, 1881-5472
    • Language
      English
    • Peer Reviewed / Acknowledgement Compliant
    • Data Source
      KAKENHI-PROJECT-25610023, KAKENHI-PROJECT-23340035
  • [Journal Article] Decay rate of L^q norms of critical Schordinger heat semigroups2013

    • Author(s)
      K. Ishige and Y. Kabeya
    • Journal Title

      Springer INdAM

      Volume: 2 Pages: 165-178

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-25220702
  • [Journal Article] Large time behavior of solutions of a semilinear elliptic equation with a dynamical boundary condition2013

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

      Adv. Differential Equations

      Volume: 18

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-23654060
  • [Journal Article] Convection-diffusion equation with absorption and non-decaying initial data2013

    • Author(s)
      Kazuhiro Ishige and Kanako Kobayashi
    • Journal Title

      J. Differential Equations

      Volume: 254 Issue: 3 Pages: 1247-1268

    • DOI

      10.1016/j.jde.2012.10.014

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-23340035, KAKENHI-PROJECT-25220702
  • [Journal Article] Sharp decay estimates of L^q norms of nonnegative Schroedinger heat semigroups2013

    • Author(s)
      Norisuke Ioku, Kazuhiro Ishige and Eiji Yanagida
    • Journal Title

      J. Funct. Anal.

      Volume: 264 Issue: 12 Pages: 2764-2783

    • DOI

      10.1016/j.jfa.2013.03.009

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-23340035, KAKENHI-PROJECT-24244012, KAKENHI-PROJECT-24654033, KAKENHI-PROJECT-25220702
  • [Journal Article] Large time behavior of solutions of a semilinear elliptic equation with a dynamical boundary condition2013

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

      Adv. Differential Equations

      Volume: 18 Pages: 69-100

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-20244009
  • [Journal Article] Decay rate of L^q norms of critical Schroedinger heat semigroups2013

    • Author(s)
      Kazuhiro Ishige and Yoshitsugu Kabeya
    • Journal Title

      Springer INdAM Seriries

      Volume: 2 Pages: 165-178

    • DOI

      10.1007/978-88-470-2841-8_11

    • ISBN
      9788847028401, 9788847028418
    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-23340035
  • [Journal Article] Decay rate of L^q norms of critical Schrodinger heat semigroups2013

    • Author(s)
      Kazuhiro Ishige and Yoshitsugu Kabeya
    • Journal Title

      Geometric Properties of Elliptic and Parabolic PDE's, Springer INdAM Series

      Volume: 2 Pages: 165-178

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-23540248
  • [Journal Article] Convection-diffusion equation with absorption and non-decaying initial data2013

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

      J. Differential Equations

      Volume: 254 Pages: 1247-1268

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-20244009
  • [Journal Article] Sharp decay estimates of $L^q$ norms of nonnegative Schr\"odinger heat semigroups2013

    • Author(s)
      N. Ioku, K. Ishige, and E. Yanagida
    • Journal Title

      J. Funct. Anal

      Volume: 264 Pages: 2764-2783

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-20244009
  • [Journal Article] Convection-diffusion equation with absorption and non-decaying initial data,2013

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

      J. Differential Equations

      Volume: 254 Pages: 1247-1247

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-20244009
  • [Journal Article] Large time behavior of solutions of a semilinear elliptic equation with a dynamical boundary condition2013

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

      Adv. Differential Equations

      Volume: 18

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-24654033
  • [Journal Article] Large time behavior of solutions of a semilinear elliptic equation with a dynamical boundary condition2013

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

      Adv. Differential Equations

      Volume: 18 Pages: 69-100

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-23340035
  • [Journal Article] Large time behavior of the solution for a two dimensional semilinear elliptic equation with a dynamical boundary condition2013

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

      Asymptot. Anal.

      Volume: 85 Issue: 1-2 Pages: 107-123

    • DOI

      10.3233/asy-131183

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-23340035, KAKENHI-PROJECT-24654033, KAKENHI-PROJECT-25220702
  • [Journal Article] Large time behavior of the solution for a two dimensional semilinear elliptic equation2013

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

      Asymptot. Anal

      Volume: 85 Pages: 107-123

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-20244009
  • [Journal Article] Large time behavior of solutions of a semilinear elliptic equation with a dynamical boundary condition2013

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

      Advances in Differential Equations

      Volume: 18巻 Pages: 69-100

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-23654060
  • [Journal Article] Large time behavior of solutions of a semilinear elliptic equation with a dynamical boundary condition2013

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

      Adv. Differential Equations

      Volume: 18 Pages: 69-100

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-25220702
  • [Journal Article] Decay rate of Lq norms of critical Schr□dinger heat semigroups, ``Geometric Properties for Parabolic and Elliptic PDE's", R.Magnanini, S.Sakaguchi and A.Alvino (Eds)2013

    • Author(s)
      K. Ishige and Y. Kabeya
    • Journal Title

      Springer INdAM Series 2, Springer Verlag

      Pages: 165-178

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-20244009
  • [Journal Article] Local quasi-concavity of the solutions of the heat equation with a nonnegative potential2013

    • Author(s)
      D. Andreucci and K. Ishige
    • Journal Title

      Ann. Mat. Pura Appl

      Volume: 192 Pages: 329-348

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-20244009
  • [Journal Article] Local quasi-concavity of the solutions of the heat equation with a nonnegative potential2013

    • Author(s)
      D. Andreucci and Kazuhiro Ishige
    • Journal Title

      Ann. Mat. Pura Appl.

      Volume: 192 Issue: 3 Pages: 329-348

    • DOI

      10.1007/s10231-011-0226-x

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-23340035, KAKENHI-PROJECT-25220702
  • [Journal Article] Large time behavior of solutions of a semilinear elliptic equation with a dynamical boundary condition,2013

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

      Adv. Differential Equations

      Volume: 18 Pages: 69-100

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-20244009
  • [Journal Article] Asymptotic expansions of solutions of the Cauchy problem for nonlinear parabolic equations2013

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

      J. Anal. Math

      Volume: 121 Pages: 317-351

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-20244009
  • [Journal Article] Asymptotic expansions of solutions of the Cauchy problem for nonlinear parabolic equations2013

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

      J. Anal. Math.

      Volume: 121 Issue: 1 Pages: 317-351

    • DOI

      10.1007/s11854-013-0038-6

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-23340035, KAKENHI-PROJECT-24654033, KAKENHI-PROJECT-25220702
  • [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 Issue: 1 Pages: 161-176

    • DOI

      10.1007/s11854-012-0032-4

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-23340035, KAKENHI-PROJECT-23340038, KAKENHI-PROJECT-24244012
  • [Journal Article] Refined asymptotic profiles for a semilinear heat equation2012

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

      Math. Ann.

      Volume: 353 Pages: 161-192

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-20244009
  • [Journal Article] Blow-up for a semilinear parabolic equation with large diffusion on R^N. II2012

    • Author(s)
      Y. Fujishima and K. Ishige
    • Journal Title

      J. Differential Equations

      Volume: 252 Issue: 2 Pages: 1835-1861

    • DOI

      10.1016/j.jde.2011.08.040

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-23340035
  • [Journal Article] Lp norms of nonnegative Schrodinger heat semigroup and the large time behavior of hot spots2012

    • Author(s)
      K. Ishige and Y. Kabeya
    • Journal Title

      J. Funct. Anal.

      Volume: 262 Pages: 2695-2733

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-20244009
  • [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: 847-865

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-20244009
  • [Journal Article] Blow-up for a semilinear parabolic equation with large diffusion on RN. II2012

    • Author(s)
      Y. Fujishima and K. Ishige
    • Journal Title

      J. Differential Equations

      Volume: 252 Pages: 1835-1861

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-20244009
  • [Journal Article] Blow-up set for a semilinear heat equation and pointedness of the initial data2012

    • Author(s)
      Y. Fujishima and K. Ishige
    • Journal Title

      Indiana Univ. Math. J.

      Volume: 61 Issue: 2 Pages: 627-663

    • DOI

      10.1512/iumj.2012.61.4596

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-23340035
  • [Journal Article] Convergence to the Poisson kernel for the Laplace equation with a nonlinear dynamical boundary condition2012

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

      Commun. Pure Appl. Anal.

      Volume: 11

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-23654060
  • [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 Issue: 3 Pages: 847-866

    • DOI

      10.3934/dcds.2012.32.847

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-23340035, KAKENHI-PROJECT-24244012
  • [Journal Article] Convergence to the Poisson kernel for the Laplace equation with a nonlinear dynamical boundary condition2012

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

      Commun. Pure Appl. Anal.

      Volume: 11 Issue: 3 Pages: 1285-1301

    • DOI

      10.3934/cpaa.2012.11.1285

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-23340035, KAKENHI-PROJECT-23654060
  • [Journal Article] Convergence to the Poisson kernel for the Laplace equation with a nonlinear dynamical boundary condition2012

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

      Commun. Pure Appl. Anal.

      Volume: 11 Pages: 1285-1301

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-20244009
  • [Journal Article] Refined asymptotic profiles for a semilinear heat equation2012

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

      Math. Ann.

      Volume: 353 Issue: 1 Pages: 161-192

    • DOI

      10.1007/s00208-011-0677-9

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-23340035
  • [Journal Article] Blow-up set for a semilinear heat equation and pointedness of the initial data2012

    • Author(s)
      Y. Fujishima and K. Ishige
    • Journal Title

      Indiana Univ. Math. J.

      Volume: 61 Pages: 627-663

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-20244009
  • [Journal Article] L^p norms of nonnegative Schroedinger heat semigroup and the large time behavior of hot spots2012

    • Author(s)
      K. Ishige and Y. Kabeya
    • Journal Title

      J. Funct. Anal.

      Volume: 262 Issue: 6 Pages: 2695-2733

    • DOI

      10.1016/j.jfa.2011.12.024

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-23340035, KAKENHI-PROJECT-23540248, KAKENHI-PROJECT-24654033
  • [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-20244009
  • [Journal Article] On a new kind of convexity for solutions of parabolic problems.2011

    • Author(s)
      K. Ishige, P. Salani
    • Journal Title

      Discrete Contin. Dyn. Syst. Ser. S

      Volume: 4 Pages: 851-864

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-20244009
  • [Journal Article] Initial trace for a doubly nonlinear parabolic equation.2011

    • Author(s)
      K. Ishige, J. Kinnunen
    • Journal Title

      J. Evol. Equ.

      Volume: 11 Issue: 4 Pages: 943-957

    • DOI

      10.1007/s00028-011-0119-x

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-20244009
  • [Journal Article] Initial trace for a doubly nonlinear parabolic equation2011

    • Author(s)
      K. Ishige and J. Kinnunen
    • Journal Title

      J. Evol. Equ.

      Volume: 11

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-23340035
  • [Journal Article] Hot spots for the two dimensional heat equation with a rapidly decaying negative potentia2011

    • Author(s)
      K. Ishige and Y. Kabeya
    • Journal Title

      Discrete Contin. Dyn. Syst. Ser. S

      Volume: 4

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-23340035
  • [Journal Article] On a new kind of convexity for solutions of parabolic problems2011

    • Author(s)
      Kazuhiro Ishige and Paolo Salani
    • Journal Title

      Discrete Contin. Dyn. Syst. Ser. S

      Volume: 4巻 Pages: 851-864

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19340036
  • [Journal Article] On a new kind of convexity for solutions of parabolic problems2011

    • Author(s)
      K. Ishige and P. Salani
    • Journal Title

      Discrete Contin. Dyn. Syst. Ser. S

      Volume: 4

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-23340035
  • [Journal Article] Blow-up for a semilinear parabolic equation with large diffusion on RN2011

    • Author(s)
      Y. Fujishima and K. Ishige
    • Journal Title

      J. Differential Equations

      Volume: 250 Pages: 2508-2543

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-20244009
  • [Journal Article] Hot spots for the two dimensional heat equation with a rapidly decaying negative potential2011

    • Author(s)
      K. Ishige and Y. Kabeya
    • Journal Title

      Discrete Contin. Dyn. Syst. Ser.

      Volume: S4 Pages: 833-849

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-20244009
  • [Journal Article] Hot spots for the two dimensional heat equation with a rapidly decaying negative potential2011

    • Author(s)
      Kazuhiro Ishige and Yoshitsugu Kabeya
    • Journal Title

      Discrete Contin. Dyn. Syst. Ser. S

      Volume: 4巻 Pages: 833-849

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19340036
  • [Journal Article] Initial trace for a doubly nonlinear parabolic equation2011

    • Author(s)
      K. Ishige and J. Kinnunen
    • Journal Title

      J. Evol. Equ.

      Volume: 11 Pages: 943-957

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-20244009
  • [Journal Article] Blow-up for a semilinear parabolic equation with large diffusion on R^N2011

    • Author(s)
      Y. Fujishima and K. Ishige
    • Journal Title

      J. Differential Equations

      Volume: 250

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-23340035
  • [Journal Article] Hot spots for the two dimensional heat equation with a rapidly decaying negative potential2011

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

      Discrete Contin. Dyn. Syst. Ser. S

      Volume: 4 Issue: 4 Pages: 833-849

    • DOI

      10.3934/dcdss.2011.4.833

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-20244009
  • [Journal Article] On a new kind of convexity for solutions of parabolic problems2011

    • Author(s)
      K. Ishige and P. Salani
    • Journal Title

      Discrete Contin. Dyn. Syst. Ser.

      Volume: S4 Pages: 851-864

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-20244009
  • [Journal Article] Convexity breaking of the free boundary for porous medium equations2010

    • Author(s)
      Kazuhiro Ishige and Paolo Salani
    • Journal Title

      Interfaces Free Bound.

      Volume: 12巻 Pages: 75-84

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19340036
  • [Journal Article] Blow-up set for a semilinear heat equation with small diffusion2010

    • Author(s)
      Yohei Fujishima, Kazuhiro Ishige
    • Journal Title

      Journal of Differential Equations

      Volume: 249 Pages: 1056-1077

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19340036
  • [Journal Article] 熱方程式の解の最大点挙動について2010

    • Author(s)
      石毛 和弘
    • Journal Title

      応用数理

      Volume: 20 Pages: 25-36

    • NAID

      110007580761

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-20244009
  • [Journal Article] Convexity breaking of the free boundary for porous medium equations2010

    • Author(s)
      Kazuhiro Ishige and Paolo Salani
    • Journal Title

      Interfaces Free Bound.

      Volume: 12 Pages: 75-84

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-20244009
  • [Journal Article] Parabolic quasi-concavity for solutions to parabolic problems in convex rings2010

    • Author(s)
      Kazuhiro Ishige, Paolo Salani
    • Journal Title

      Mathematische Nachrichten

      Volume: 283 Pages: 1526-1548

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19340036
  • [Journal Article] 熱方程式の解の最大点挙動について2010

    • Author(s)
      石毛和弘
    • Journal Title

      応用数理

      Volume: 20巻 Pages: 22-36

    • NAID

      110007580761

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19340036
  • [Journal Article] Blow-up setfor a semilinear heat equation with small diffusion2010

    • Author(s)
      Y. Fujishima and K. Ishige
    • Journal Title

      J. Differential Equations

      Volume: 249 Pages: 1056-1077

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-20244009
  • [Journal Article] Blow-up set for a semilinear heat equation with small diffusion2010

    • Author(s)
      Y.Fujishima, K.Ishige
    • Journal Title

      J.Differential Equations 249

      Pages: 1056-1077

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-20224013
  • [Journal Article] Global solutions of the heat equation with a nonlinear boundary condition2010

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

      Calc. Var. Partial Differential Equations

      Volume: 39 Pages: 429-457

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-20244009
  • [Journal Article] Parabolic quasi-concavity for solutions to parabolic problems in convex rings2010

    • Author(s)
      K.Ishige, P.Salani
    • Journal Title

      Math.Nachr.(雑誌Math.Nachr.のEditor Choice を受賞) 283

      Pages: 1526-1548

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-20224013
  • [Journal Article] Convexity breaking of the free boundary for porous medium equations2010

    • Author(s)
      Kazuhiro Ishige, Paolo Salani
    • Journal Title

      Interfaces Free Bound 12巻(印刷中)

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19340036
  • [Journal Article] Global solutions of the heat equation with a nonlinear boundary condition2010

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

      Calculus of Variations and Partial Differential Equations

      Volume: 39 Pages: 429-457

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19340036
  • [Journal Article] Parabolic quasi-concavity for solutions to parabolic problems in convex rings2010

    • Author(s)
      K. Ishige and P. Salani
    • Journal Title

      Math. Nachr.

      Volume: 283 Pages: 1526-1548

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-20244009
  • [Journal Article] Parabolic quasi-concavity for solutions to parabolic problems in convex rings2010

    • Author(s)
      Kazuhiro Ishige and Paolo Salani
    • Journal Title

      Math. Nachr.

      Volume: 283巻 Pages: 1526-1548

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19340036
  • [Journal Article] Blow-up set for a semilinear heat equation with small diffusion2010

    • Author(s)
      Yohei Fujishima and Kazuhiro Ishige
    • Journal Title

      J. Differential Equations

      Volume: 249巻 Pages: 1056-1077

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19340036
  • [Journal Article] The decay of the solutions for the heat equation with a potential2009

    • Author(s)
      Kazuhiro Ishige, Michinori Ishiwata, and Tatsuki Kawakami
    • Journal Title

      Indiana Univ. Math. J.

      Volume: 58巻 Pages: 2673-2708

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19340036
  • [Journal Article] Gradient estimates for the heat equation in the exterior domains under the Neumann boundary condition2009

    • Author(s)
      Kazuhiro Ishige
    • Journal Title

      Differential Integral Equations

      Volume: 22巻 Pages: 401-410

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19340036
  • [Journal Article] Hot spots for the heat equation with a rapidly decaying negative potential2009

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

      Advances in Differential Equations 14

      Pages: 643-662

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19340036
  • [Journal Article]2009

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

      Adv.Differential Equations 14巻

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19340036
  • [Journal Article] The decay of the solutions for the heat equation with a potential2009

    • Author(s)
      Kazuhiro Ishige, Michinori Ishiwata, and Tatsuki Kawakami
    • Journal Title

      Indiana Univ. Math. J.

      Volume: 58 Pages: 2673-2708

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-20244009
  • [Journal Article] Asymptotic behavior of solutions for some semilinear heat equations In R^n2009

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

      Comm.Pure Applied Math. 8

      Pages: 1351-1371

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19204014
  • [Journal Article] Gradient estimates for the heat equation in the exterior domains under the Neumann boundary condition2009

    • Author(s)
      K.Ishige
    • Journal Title

      Differential and Integral Equations 14

      Pages: 401-410

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19204014
  • [Journal Article] Gradient estimates for the heat equation in the exterior domains under the Neumann boundary condition2009

    • Author(s)
      Kazuhiro Ishige
    • Journal Title

      Differential Integral Equations 22

      Pages: 401-410

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18204010
  • [Journal Article] Asymptotic behavior of solutions for some semilinear heat equations in R^N2009

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

      Communications on Pure and Applied Mathematics 8

      Pages: 1351-1371

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19340036
  • [Journal Article] Hot spots for the heat equation with a rapidly decaying negative potential2009

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

      Adv.Differential Equations 14

      Pages: 643-662

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19204014
  • [Journal Article] Gradient estimates for the heat equation in the exterior domains under the Neumann boundary condition2009

    • Author(s)
      Kazuhiro Ishige
    • Journal Title

      Differential Integral Equations

      Volume: 22 Pages: 401-410

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-20244009
  • [Journal Article] Gradient estimates for the heat equation in the exterior domains under the Neumann boundary condition2009

    • Author(s)
      石毛和弘
    • Journal Title

      Differential Integral Equations 22

      Pages: 401-410

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-17340034
  • [Journal Article] Hot spots for the heat equation with a rapidly decaying negative potential2009

    • Author(s)
      Kazuhiro Ishige and Yoshitsugu Kabeya
    • Journal Title

      Adv. Differential Equations

      Volume: 14 Pages: 643-662

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-20244009
  • [Journal Article] Hot spots for the heat equation with a rapidly decaying negative potential2009

    • Author(s)
      Kazuhiro Ishige and Yoshitsugu Kabeya
    • Journal Title

      Adv. Differential Equations

      Volume: 14巻 Pages: 643-662

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19340036
  • [Journal Article] Asymptotic behavior of solutions for some semilinear heat equations in RN2009

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

      Commun. Pure Appl. Anal.

      Volume: 8

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-20244009
  • [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 Univ.Math.J. 58巻

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19340036
  • [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

      Pages: 2673-2708

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19340036
  • [Journal Article] Large time behaviors of hot spots for the heat equation with a potential2008

    • Author(s)
      K.Ishige
    • Journal Title

      J. Diff. Equations 245

      Pages: 2352-2354

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19204014
  • [Journal Article] On the Fujita exponent for a semilinear heat equation with a potential term2008

    • Author(s)
      Kazuhiro Ishige
    • Journal Title

      Journal of Mathematical Analysis and Applications 344

      Pages: 231-237

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19340036
  • [Journal Article] Large time behaviors of hot spots for the heat equation with a potential2008

    • Author(s)
      Kazuhiro Ishige and Yoshitsugu Kabeya
    • Journal Title

      J. Differential Equations

      Volume: 244巻 Pages: 2934-2962

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19340036
  • [Journal Article] Is quasi-concavity preserved by heat flow?2008

    • Author(s)
      Kazuhiro Ishige
    • Journal Title

      Arch. Math 90

      Pages: 450-460

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18204010
  • [Journal Article] On the Fujita exponent for a semilinear heat equation with a potential term2008

    • Author(s)
      Kazuhiro Ishige
    • Journal Title

      J. Math. Anal. Appl. 344

      Pages: 231-237

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18204010
  • [Journal Article] Large time behaviors of hot spots for the heat equation with a potential2008

    • Author(s)
      Kazuhiro Ishige
    • Journal Title

      Journal of Differential Equations 244

      Pages: 2934-2962

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19340036
  • [Journal Article] Is quasi-concavity preserved by heat. Flow2008

    • Author(s)
      Kazuhiro Ishige
    • Journal Title

      Archiv der Mathematik 90

      Pages: 450-460

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19340036
  • [Journal Article] Is quasi-concavity preserved by hear flow?2008

    • Author(s)
      K.Ishige
    • Journal Title

      Arch.Math. 90

      Pages: 450-460

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19204014
  • [Journal Article] Is quasi-concavity preserved by heat flow2008

    • Author(s)
      Kazuhiro Ishige and Paolo Salani
    • Journal Title

      Arch. Math.

      Volume: 90巻 Pages: 450-460

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19340036
  • [Journal Article] Large time behaviors of hot spots for the heat equation with a potential2008

    • Author(s)
      K. Ishige
    • Journal Title

      J.Diff.Equations 334

      Pages: 2352-2354

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19204014
  • [Journal Article] On the Fujita exponent for a semilinear heat equation with a potential term2008

    • Author(s)
      Kazuhiro Ishige
    • Journal Title

      J. Math. Anal. Appl.

      Volume: 344巻 Pages: 231-237

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19340036
  • [Journal Article] On the Fujita exponent for a semilinear hear equation with a potential term2008

    • Author(s)
      K.Ishige
    • Journal Title

      J.Math.Anal.Appl. 334

      Pages: 231-237

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19204014
  • [Journal Article] On the Fujita exponent for a semilinear hear equation with a potential term2008

    • Author(s)
      K. Ishige
    • Journal Title

      J. Math. Anal. Appl. 334

      Pages: 231-237

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19204014
  • [Journal Article] Is quasi-concavity preserved by heat flow?2008

    • Author(s)
      Kazuhiro Ishige, Paolo Salani
    • Journal Title

      Arch.Math. 90巻

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19340036
  • [Journal Article] On the decay rates of the derivatives of the solutions of the heat equations in the exterior domain of a ball2007

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

      Journal of Mathematical Society of Japan 59

      Pages: 861-898

    • NAID

      10019540137

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19340036
  • [Journal Article] Decay rates of the derivatives of the solutions of the heat equations in the exterior domain of a ball2007

    • Author(s)
      K. Ishige and Y. Kabeya
    • Journal Title

      J. Math. Soc. Japan 59

      Pages: 861-898

    • NAID

      10019540137

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19204014
  • [Journal Article] Decay rate of the derivatives of the solutions of the heat equations in the exterior domain of a ball2007

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

      J. Math. Soc. Japan (in press)

    • NAID

      10019540137

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-15340056
  • [Journal Article] Movement of hot spots on the exterior domain of a ball under the Dirichlet boundary conditio2007

    • Author(s)
      K. Ishige
    • Journal Title

      Adv. Differential Equations 12

      Pages: 1135-1168

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19204014
  • [Journal Article] Movement of hot spots on the exterior domain of a ball under the Dirichlet boundary condition2007

    • Author(s)
      Kazuhiro Ishige
    • Journal Title

      Adv. Differential Equations 12

      Pages: 1135-1166

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-17340034
  • [Journal Article] On the decay rates of the derivatives of the solutions of the heat equations in the exterior domain of a ball2007

    • Author(s)
      Kazuhiro Ishige and Yoshitsugu Kabeya
    • Journal Title

      J. Math. Soc. Japan

      Volume: 59巻 Pages: 861-898

    • NAID

      10019540137

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19340036
  • [Journal Article] Movement of hot spots on the exterior domain of a ball under the Dirichlet boundary condition2007

    • Author(s)
      Kazuhiro Ishige
    • Journal Title

      Adv. Differential Equation 12

      Pages: 1135-1166

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18204010
  • [Journal Article] Large time behaviors of hot spots for the heat equation with a potential2007

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

      J.Differential Equations 244巻

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19340036
  • [Journal Article] Decay rate of the derivatives of the solutions of the heat equations in the exterior domain of a ball2007

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

      J. Math. Soc. Japan (掲載決定)

    • NAID

      10019540137

    • Data Source
      KAKENHI-PROJECT-18204010
  • [Journal Article] On the decay rates of the derivatives of the solutions of the heat equations in the exterior domain of a ball2007

    • Author(s)
      Kazuhiro Ishige and Yoshitsugu Kabeya
    • Journal Title

      J. Math. Soc. Japan 59

      Pages: 861-898

    • NAID

      10019540137

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18204010
  • [Journal Article] Movement of hot spots on the exterior domain of a ball under the Dirichlet boundary condition2007

    • Author(s)
      Kazuhiro Ishige
    • Journal Title

      Differential Adv.Equations 12

      Pages: 1135-1166

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18204010
  • [Journal Article] Movement of hot spots on the exterior domain of a ball under the Dirichlet boundary condition2007

    • Author(s)
      K. Ishige
    • Journal Title

      Adv. Differential Equations

      Volume: 12 Pages: 1135-1166

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19204014
  • [Journal Article] Decay rates of the derivatives of the solutions of the heat equations in the exterior domain ofa ball2007

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

      J Math. Soc. Japan

      Volume: 59 Pages: 861-898

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19204014
  • [Journal Article] Decay rate of the derivatives of the solutions of the heat equations in the exterior domain of a ball2007

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

      J.Math.Soc.Japan (in press)

    • NAID

      10019540137

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-15340056
  • [Journal Article] Movement of hot spots on the exterior domain of a ball under the Dirichlet boundary condition2007

    • Author(s)
      Kazuhiro Ishige
    • Journal Title

      Advances in Differential Equations 12

      Pages: 1135-1166

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19340036
  • [Journal Article] Movement of hot spots on the exterior domain of a ball2006

    • Author(s)
      K.Ishige
    • Journal Title

      数理解析研講究緑 1416

      Pages: 175-189

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-15340056
  • [Journal Article] Movement of hot spots on the exterior domain of a ball2006

    • Author(s)
      K.Ishige
    • Journal Title

      RIMS-Kokyuroku 1416

      Pages: 175-189

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-15340056
  • [Journal Article] Blow-up problems for a semilinear heat equation with large diffusion2005

    • Author(s)
      Kazuhiro Ishige, et al.
    • Journal Title

      Journal of Differential Equations 212

      Pages: 114-128

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-14340054
  • [Journal Article] Movement of hot spots on the exterior domain of a ball2005

    • Author(s)
      Kazuhiro Ishige
    • Journal Title

      数理解析研講究緑 1416

      Pages: 175-189

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-15540202
  • [Journal Article] Movement of hot spots on the exterior domain of a ball under the Neumann boundary condition2005

    • Author(s)
      Kazuhiro Ishige
    • Journal Title

      Journal of Differential Equations 212

      Pages: 394-431

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-15540202
  • [Journal Article] Blow-up problems for a semilinear heat equation with large diffusion,2005

    • Author(s)
      K.Ishige, Y.Yagisita
    • Journal Title

      Journal of Differential Equations, 212

      Pages: 114-128

    • Data Source
      KAKENHI-PROJECT-15340056
  • [Journal Article] Movement of hot spots on the exterior domain of a ball under the Neumann boundary condition2005

    • Author(s)
      K.Ishige
    • Journal Title

      Journal of Differential Equations 212

      Pages: 394-431

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-15340056
  • [Journal Article] Movement of hot spots on the exterior domain of a ball2005

    • Author(s)
      Kazuhiro Ishige
    • Journal Title

      Suurikasekiken Kokyuroku 1416

      Pages: 175-189

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-15540202
  • [Journal Article] Movement of hot spots on the exterior domain of a ball under the Neumann boundary conditions2005

    • Author(s)
      Kazuhiro Ishige
    • Journal Title

      Journal of Differential Equations 212

      Pages: 394-431

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-15540202
  • [Journal Article] Movement of hot spots on the exterior domain of a ball under the Neumann boundary condition,2005

    • Author(s)
      Kazuhiro Ishige
    • Journal Title

      J.Differential Equations in press

    • Data Source
      KAKENHI-PROJECT-15340056
  • [Journal Article] Movement of hot spots on the exterior domain of a ball under the Neumann boundary condition2005

    • Author(s)
      Kazuhiro Ishige
    • Journal Title

      Journal of Differential Equations 212

      Pages: 394-431

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-14340054
  • [Journal Article] Movement of hot spots on the exterior domain of a ball under the Neumann boundary condition2005

    • Author(s)
      Ishige, Kazuhiro
    • Journal Title

      J.Differential Equations 212

      Pages: 394-431

    • Data Source
      KAKENHI-PROJECT-15104001
  • [Journal Article] Movement of hot spots on the exterior domain of a ball under the Neumann boundary condition2005

    • Author(s)
      Kazuhiro Ishige
    • Journal Title

      Journal of Differential Equations (発表予定)

    • Data Source
      KAKENHI-PROJECT-15540202
  • [Journal Article] Movement of hot spots on the exterior domain of a ball under the Neumann boundary condition,2005

    • Author(s)
      K.Ishige
    • Journal Title

      Journal of Differential Equations, 212

      Pages: 394-431

    • Data Source
      KAKENHI-PROJECT-15340056
  • [Journal Article] Blow-up problems for a semilinear heat equation with large diffusion,2005

    • Author(s)
      Kazuhiro Ishige, Hiroki Yagisita
    • Journal Title

      J.Differential Equations in press

    • Data Source
      KAKENHI-PROJECT-15340056
  • [Journal Article] low-up problems for a semilinear heat equation with large diffusion2005

    • Author(s)
      Ishige, Kazuhiro, Yagisita, Hiroki
    • Journal Title

      J.Differential Equations 212

      Pages: 114-125

    • Data Source
      KAKENHI-PROJECT-15104001
  • [Journal Article] Blow-up problems for a semilinear heat equation with large diffusion2005

    • Author(s)
      Kazuhiro Ishige, Hiroki Yagisita
    • Journal Title

      Journal of Differential Equations (発表予定)

    • Data Source
      KAKENHI-PROJECT-15540202
  • [Journal Article] Blow-up problems for a semilinear heat equation with large diffusion2005

    • Author(s)
      Kazuhiro Ishige, Hiroki Yagisita
    • Journal Title

      Journal of Differential Equations 212

      Pages: 114-128

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-15540202
  • [Journal Article] Blow-up problems for a semilinear heat equation with large diffusion2005

    • Author(s)
      K.Ishige, Y.Yagisita
    • Journal Title

      Journal of Differential Equations 212

      Pages: 114-128

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-15340056
  • [Journal Article] On blowup problem for nonlinear diffusion equations (HISENKEI KAKUSAN-HOUTEISIKI NO BAKUHATSUKAI NI TSUITE, in Japanese))2004

    • Author(s)
      Kazuhiro Ishige, et al.
    • Journal Title

      SUGAKU 56

      Pages: 182-192

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-14340054
  • [Journal Article] 非線形拡散方程式の爆発問題について2004

    • Author(s)
      石毛和弘, 溝口紀子
    • Journal Title

      数学 56

      Pages: 182-192

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-15340056
  • [Journal Article] 非線形拡散方程式の爆発問題について2004

    • Author(s)
      石毛和弘 他
    • Journal Title

      数学 56

      Pages: 182-192

    • Data Source
      KAKENHI-PROJECT-14340054
  • [Journal Article] On the blow-up problems for nonlinear diffusive equations2004

    • Author(s)
      Kazuhiro Ishige, Noriko Mizoguchi
    • Journal Title

      Sugaku 56

      Pages: 182-192

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-15540202
  • [Journal Article] 非線形拡散方程式の爆発問題について2004

    • Author(s)
      石毛和弘, 溝口紀子
    • Journal Title

      数学 56

      Pages: 182-192

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-15540202
  • [Journal Article] 非線形拡散方程式の爆発問題について2004

    • Author(s)
      石毛和弘, 他
    • Journal Title

      数学 56

      Pages: 182-192

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-14340054
  • [Journal Article] Finite time blow up of the solution to the nonlinear diffusion equations2004

    • Author(s)
      K.Ishige, N.Mizoguchi
    • Journal Title

      Sugaku 56

      Pages: 182-192

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-15340056
  • [Journal Article] Blow-up behavior for semilinear heat equationswith boundary conditions2003

    • Author(s)
      Kazuhiro Ishige, et al.
    • Journal Title

      Differential and Integral Equations 16

      Pages: 663-690

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-14340054
  • [Journal Article] Location of blow-up set for a semilinear parabolic equation with large diffusion2003

    • Author(s)
      Kazuhiro Ishige, et al.
    • Journal Title

      Mathematische Annalen 327

      Pages: 487-511

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-14340054
  • [Journal Article] Blow-up behavior for semilinear heat equations with boundary conditions2003

    • Author(s)
      Kazuhiro Ishige, et al.
    • Journal Title

      Differential and Integral Equations 16

      Pages: 663-690

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-14340054
  • [Journal Article] Blow-up behavior for semilinear heat equations with boundary conditions2003

    • Author(s)
      K.Ishige, N.Mizoguchi
    • Journal Title

      Differential and Integral Equations 16

      Pages: 663-690

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-13440042
  • [Journal Article] An intrinsic metric approach to uniqueness of the positive Cauchy-Neumann problem for parabolic equations2002

    • Author(s)
      K.Ishige
    • Journal Title

      J.Mathematical Analysis and Applications 276

      Pages: 763-790

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-13440042
  • [Journal Article] An intrinsic metric approach to uniqueness of the positive Cauchy-Neumann problem for parabolic equations.2002

    • Author(s)
      Kazuhiro Ishige
    • Journal Title

      Journal of Mathematical Analysis and Applications 276

      Pages: 763-790

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-14340054
  • [Journal Article] An intrinsic metric approach to uniqueness of the positive Cauchy-Neumann problem for parabolic equations2002

    • Author(s)
      Kazuhiro Ishige
    • Journal Title

      Journal of Mathematical Analysis and Applications 276

      Pages: 763-790

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-14340054
  • [Journal Article] Blow-up time and blow-up set of the solutions for semilinear heat equations with large diffusion2002

    • Author(s)
      Kazuhiro Ishige
    • Journal Title

      Advances in Differential Equations 7

      Pages: 1003-1024

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-14340054
  • [Journal Article] Uniqueness of nonnegative solutions of the Cauchy problem for parabolic equations on manifolds or domains2001

    • Author(s)
      K.Ishige, M.Murata
    • Journal Title

      Ann.Scuola Normale Sup.Pisa 30

      Pages: 171-223

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-13440042
  • [Journal Article] Blow-up problems for a semilinear heat equation with large diffusion

    • Author(s)
      Kazuhiro Ishige et al.
    • Journal Title

      Journal of Differential Equations in press

    • Data Source
      KAKENHI-PROJECT-14340054
  • [Journal Article] Large time behaviors of hot spots for the heat equation with a potential

    • Author(s)
      K. Ishige and Y. Kabeya
    • Journal Title

      J. Differential Equations (掲載決定)

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-17340034
  • [Journal Article] The decay of the solutions for the heat equation with a potential

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

      Indiana University Mathematics Journal (未定, 掲載決定)

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18204010
  • [Journal Article] Movement of hot spots on the exterior domain of a ball under the Neumann boundary condition

    • Author(s)
      Kazuhiro Ishige
    • Journal Title

      Journal of Differential Equations in press

    • Data Source
      KAKENHI-PROJECT-14340054
  • [Journal Article] Global solutions of the heat equation with a nonlinear boundary condition

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

      Calc.Var.Partial Differential Equations (未定, 掲載決定)

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18204010
  • [Journal Article] On the Fujita exponent for a semilinear heat equation with a potential term

    • Author(s)
      Kazuhiro Ishige
    • Journal Title

      J. Math. Anal. Appl. (掲載決定)

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-17340034
  • [Presentation] Characterization of F-concavity preserved by the Dirichlet heat flow2022

    • Author(s)
      Kazuhiro Ishige
    • Organizer
      Theoretical and numerical trends in inverse problems and control for PDE’s, and Hamilton-Jacobi equation: French-Italian-Japanese conference
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-19H05599
  • [Presentation] Concavity property preserved by the Dirichlet heat flow2022

    • Author(s)
      石毛和弘
    • Organizer
      Aoba-yama PDE Seminar “Reaction-Diffusion Equations ”
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-19H05599
  • [Presentation] Dirichlet heat flow によって保存される凹性概念2022

    • Author(s)
      石毛和弘
    • Organizer
      大岡山談話会 (Online)
    • Invited
    • Data Source
      KAKENHI-PROJECT-20K20284
  • [Presentation] Concavity property preserved by the Dirichlet heat flow2022

    • Author(s)
      石毛和弘
    • Organizer
      16th Aoba-yama PDE Seminar ``Reaction-Diffusion Equations”(Online)
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-20K20284
  • [Presentation] Dirichlet heat flow によって保存される凹性概念2021

    • Author(s)
      石毛和弘
    • Organizer
      多元数理談話会 (Online)
    • Invited
    • Data Source
      KAKENHI-PROJECT-20K20284
  • [Presentation] When is quasi-concavity preserved by Dirichlet heat flow?2021

    • Author(s)
      石毛和弘
    • Organizer
      The 22nd Northeastern Sym- posium on Mathematical Analysis
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-19H05599
  • [Presentation] Power concavity and Dirichlet heat flow2021

    • Author(s)
      石毛和弘
    • Organizer
      New Trends in Nonlinear Diffusion: a Bridge between PDEs, Analysis and Geometry (Banff, Online)
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-20K20284
  • [Presentation] When is quasi-concavity preserved by Dirichlet heat fow?2021

    • Author(s)
      K. Ishige
    • Organizer
      The 22nd Northeastern Symposium on Mathematical Analysis
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-20K20284
  • [Presentation] Power concavity and Dirichlet heat flow2021

    • Author(s)
      石毛和弘
    • Organizer
      Analysis and Geometry
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-19H05599
  • [Presentation] Dirichlet heat flow によって保存される凹性概念2021

    • Author(s)
      石毛和弘
    • Organizer
      名古屋大学大学多元数理科学研究科談話会
    • Invited
    • Data Source
      KAKENHI-PROJECT-19H05599
  • [Presentation] Dirichlet heat flow によって保存される凹性概念2021

    • Author(s)
      石毛和弘
    • Organizer
      福岡大解析セミナ-
    • Invited
    • Data Source
      KAKENHI-PROJECT-20K20284
  • [Presentation] New characterizations of log-concavity2020

    • Author(s)
      石毛和弘
    • Organizer
      鳥取 PDE 研究集会
    • Invited
    • Data Source
      KAKENHI-PROJECT-19H05599
  • [Presentation] New characterizations of log-concavity2020

    • Author(s)
      石毛和弘
    • Organizer
      鳥取PDE研究集会
    • Invited
    • Data Source
      KAKENHI-PROJECT-20K20284
  • [Presentation] New characterizations of log-concavity2020

    • Author(s)
      石毛和弘
    • Organizer
      北海道大学 MMCセミナー
    • Invited
    • Data Source
      KAKENHI-PROJECT-20K20284
  • [Presentation] Existence of solutions for a higher-order semi linear parabolic equation with singular initial data2019

    • Author(s)
      石毛和弘
    • Organizer
      Chemotaxis and Nonlinear Parabolic Equations,北九州国際会議場(小倉)
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-19H01797
  • [Presentation] Existence of solutions for a higher-order semilinear parabolic equation with singular initial data2019

    • Author(s)
      Ishige Kazuhiro
    • Organizer
      Chemotaxis and Nonlinear Parabolic Equations
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-19H05599
  • [Presentation] Existence of solutions for a higher-order semi linear parabolic equation with singular initial data2019

    • Author(s)
      Ishige Kazuhiro
    • Organizer
      4th Swiss-Japanese PDE Seminar
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-19H05599
  • [Presentation] Existence of solutions for a higher-order semi linear parabolic equation with singular initial data2019

    • Author(s)
      石毛和弘
    • Organizer
      Chemotaxis and Nonlinear Parabolic Equations -In honor of Professor Takasi Senba on his 60th birthday-, Kitakyushu International Conference Center, Kokura, Fukuoka, Japan
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-17H01095
  • [Presentation] To logconcavity and beyond2019

    • Author(s)
      石毛和弘
    • Organizer
      AMS Spring Central and Western Joint Sectional Meeting SS44A "New Trends on Variational Calculus and Non-Linear Partial Differential Equations", University of Hawaii, Manoa, USA
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-17H01095
  • [Presentation] A supercritical scalar field equation with a forcing term2018

    • Author(s)
      Ishige Kazuhiro
    • Organizer
      RIMS研究集会 ``偏微分方程式の解の形状解析"
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-15H02058
  • [Presentation] 放物型方程式の解の冪凸性2018

    • Author(s)
      Ishige Kazuhiro
    • Organizer
      東京大学大学院数理科学研究科談話会
    • Invited
    • Data Source
      KAKENHI-PROJECT-15H02058
  • [Presentation] To logconcavity and beyond2018

    • Author(s)
      石毛和弘
    • Organizer
      Viscosity Solutions and Related Topics, Tohoku University, Miyagi
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-17H01095
  • [Presentation] A supercritical scalar field equation with a forcing term2018

    • Author(s)
      石毛和弘
    • Organizer
      偏微分方程式の解の形状解析、京都大学数理解析研究所、京都府
    • Invited
    • Data Source
      KAKENHI-PROJECT-17H01095
  • [Presentation] To Logconcavity and beyond2018

    • Author(s)
      Ishige Kazuhiro
    • Organizer
      Viscosity Solutions and Related Topics
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-15H02058
  • [Presentation] The Cauchy problem for the Finsler heat equation2018

    • Author(s)
      Kazuhiro Ishige
    • Organizer
      Metrics and Measures
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-17H01095
  • [Presentation] The Cauchy problem for the Finsler heat equation2017

    • Author(s)
      石毛和弘
    • Organizer
      Metrics and Measures
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-15H02058
  • [Presentation] Solvability of the heat equation with a nonlinear boundary condition2017

    • Author(s)
      石毛和弘
    • Organizer
      Mathematical Analysis on Nonlinear PDEs
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-15H02058
  • [Presentation] Finsler heat equation with growing initial data2017

    • Author(s)
      Kazuhiro Ishige
    • Organizer
      5th Italian-Japanese workshop on geometric properties for parabolic and elliptic PDE’s
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-17H01095
  • [Presentation] Asymptotic expansions of solutions of fractional diffusion equations2017

    • Author(s)
      Kazuhiro Ishige
    • Organizer
      Equadiff 2017 Minisymposium “Asymptotic analysis of nonlinear parabolic equations”
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-17H01095
  • [Presentation] The heat kernel of a Schrodinger operator with inverse square potential2017

    • Author(s)
      石毛和弘
    • Organizer
      Dirichlet forms and their geometry
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-15H02058
  • [Presentation] Asymptotic expansions of solutions of fractional diffusion equations2017

    • Author(s)
      石毛和弘
    • Organizer
      Equadiff 2017 Minisymposium ``Asymptotic analysis of nonlinear parabolic equations"
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-15H02058
  • [Presentation] Large time behavior of solutions of the heat equation with inverse square potential2017

    • Author(s)
      Kazuhiro Ishige
    • Organizer
      第 7 回弘前非線形方程式研究会
    • Invited
    • Data Source
      KAKENHI-PROJECT-17H01095
  • [Presentation] Large time behavior of solutions of the heat equation with inverse square potential2017

    • Author(s)
      石毛和弘
    • Organizer
      Geometric aspects of PDE's
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-15H02058
  • [Presentation] Finsler heat equation with growing initial data2017

    • Author(s)
      石毛和弘
    • Organizer
      5th Italian-Japanese workshop on geometric properties for parabolic and elliptic PDE's
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-15H02058
  • [Presentation] Large time behavior of solutions of the heat equation with inverse square potential2017

    • Author(s)
      Kazuhiro Ishige
    • Organizer
      Geometric aspects of PDE’s, Palazzo Nonfinito, Firenze
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-17H01095
  • [Presentation] Supersolutions of nonlinear parabolic systems and their applications2016

    • Author(s)
      石毛和弘
    • Organizer
      Partial Differential Equations and Related Topics
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-15H02058
  • [Presentation] Supersolutions of nonlinear parabolic systems and their applications2016

    • Author(s)
      石毛和弘
    • Organizer
      7th Euro-Japanese Workshop on Blow-up
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-15H02058
  • [Presentation] Supersolutions of nonlinear parabolic systems and their applications2016

    • Author(s)
      石毛和弘
    • Organizer
      第41回偏微分方程式札幌シンポジウム
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-15H02058
  • [Presentation] Minimal solutions of a semilinear elliptic equation with a dynamical boundary condition2016

    • Author(s)
      Kazuhiro Ishige
    • Organizer
      Variational Problems and Nonlinear Partial Differential Equations 2016
    • Place of Presentation
      東京理科大学
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-15H02058
  • [Presentation] Power concavity in weakly coupled elliptic and parabolic systems2015

    • Author(s)
      石毛和弘
    • Organizer
      パターン生成とダイナミクスの解構造の探求
    • Place of Presentation
      北海道大学
    • Year and Date
      2015-06-21
    • Data Source
      KAKENHI-PROJECT-25610023
  • [Presentation] Concavity properties of solutions for parabolic equations2015

    • Author(s)
      石毛和弘
    • Organizer
      Seminar on Qualitative Theory of Differential Equations
    • Place of Presentation
      Comenius University, Slovakia
    • Year and Date
      2015-05-21
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-25610023
  • [Presentation] Power concavity in weakly coupled elliptic and parabolic systems2015

    • Author(s)
      Kazuhiro Ishige
    • Organizer
      パターン生成とダイナミクスの解構造の探求
    • Place of Presentation
      北海道大学
    • Invited
    • Data Source
      KAKENHI-PROJECT-15H02058
  • [Presentation] 放物型方程式の解の凸性について2015

    • Author(s)
      石毛和弘
    • Organizer
      2014年度 (第13回) 解析学賞受賞特別講演
    • Place of Presentation
      明治大学
    • Year and Date
      2015-03-23
    • Data Source
      KAKENHI-PROJECT-25220702
  • [Presentation] 放物型方程式の解の凸性について2015

    • Author(s)
      石毛和弘
    • Organizer
      日本数学会函数方程式分科会
    • Place of Presentation
      明治大学
    • Year and Date
      2015-03-23
    • Invited
    • Data Source
      KAKENHI-PROJECT-23340035
  • [Presentation] Parabolic Minkowski convolutions of solutions to parabolic boundary value problems2015

    • Author(s)
      石毛和弘
    • Organizer
      浜松偏微分方程式セミナー
    • Place of Presentation
      静岡大学
    • Year and Date
      2015-05-12
    • Invited
    • Data Source
      KAKENHI-PROJECT-25610023
  • [Presentation] Minimal solutions of a semilinear elliptic equation with a dynamical boundary condition2015

    • Author(s)
      Kazuhiro Ishige
    • Organizer
      3rd Chile-Japan Workshop on Nonlinear PDEs
    • Place of Presentation
      大阪大学
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-15H02058
  • [Presentation] Parabolic Minkowski convolutions of solutions to parabolic boundary value problems2015

    • Author(s)
      石毛和弘
    • Organizer
      名古屋大学微分方程式セミナー
    • Place of Presentation
      名古屋大学
    • Year and Date
      2015-05-11
    • Invited
    • Data Source
      KAKENHI-PROJECT-25610023
  • [Presentation] Heat equation with a nonlinear boundary condition and uniformly local L^r spaces2014

    • Author(s)
      石毛和弘
    • Organizer
      6th Euro-Japanese Workshop on Blow-up
    • Place of Presentation
      東京工業大学
    • Year and Date
      2014-09-04
    • Data Source
      KAKENHI-PROJECT-25220702
  • [Presentation] Heat equation with a nonlinear boundary condition and uniformly local L^r spaces2014

    • Author(s)
      石毛和弘
    • Organizer
      第39回偏微分方程式論札幌シンポジウム
    • Place of Presentation
      北海道大学
    • Year and Date
      2014-08-27
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-23340035
  • [Presentation] Parabolic power concavity and parabolic boundary value problems2014

    • Author(s)
      石毛和弘
    • Organizer
      HMA セミナー・冬の研究会 2014
    • Place of Presentation
      広島大学,東広島市
    • Year and Date
      2014-01-10
    • Invited
    • Data Source
      KAKENHI-PROJECT-25220702
  • [Presentation] Heat equation with a nonlinear boundary condition and uniformly local L^r spaces2014

    • Author(s)
      石毛和弘
    • Organizer
      第 39 回 偏微分方程式論札幌シンポジウム
    • Place of Presentation
      北海道大学
    • Year and Date
      2014-08-27
    • Data Source
      KAKENHI-PROJECT-25220702
  • [Presentation] Heat equation with a nonlinear boundary condition and uniformly local $L^r$ spaces2014

    • Author(s)
      石毛和弘
    • Organizer
      6th Euro-Japanese Workshop on Blow-up
    • Place of Presentation
      東京工業大学
    • Year and Date
      2014-09-04
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-23340035
  • [Presentation] 放物型冪凸と放物型境界値問題2014

    • Author(s)
      石毛和弘
    • Organizer
      第5回 ハミルトン系とその周辺研究集会
    • Place of Presentation
      金沢大学
    • Year and Date
      2014-05-29
    • Data Source
      KAKENHI-PROJECT-25220702
  • [Presentation] Parabolic power concavity and parabolic boundary value problems2013

    • Author(s)
      石毛和弘
    • Organizer
      Equadiff 2013
    • Place of Presentation
      Charles University, Prague
    • Year and Date
      2013-08-26
    • Invited
    • Data Source
      KAKENHI-PROJECT-24654033
  • [Presentation] Parabolic power concavity and parabolic boundary value problems2013

    • Author(s)
      K. Ishige
    • Organizer
      Equadiff 2013
    • Place of Presentation
      Charles University, Prague
    • Invited
    • Data Source
      KAKENHI-PROJECT-20244009
  • [Presentation] Parabolic power concavity and parabolic boundary value problems2013

    • Author(s)
      Kazuhiro Ishige
    • Organizer
      九州関数方程式セミナー
    • Place of Presentation
      九州大学(福岡市)
    • Year and Date
      2013-05-17
    • Data Source
      KAKENHI-PROJECT-20244009
  • [Presentation] Parabolic power concavity and parabolic boundary value problems2013

    • Author(s)
      石毛和弘
    • Organizer
      Equadiff 2013
    • Place of Presentation
      Charles University, Prague
    • Year and Date
      2013-08-26
    • Data Source
      KAKENHI-PROJECT-25220702
  • [Presentation] Sharp decay estimates of L^q-norms for nonnegative Schrodinger heat semigroups2012

    • Author(s)
      石毛和弘
    • Organizer
      9th AIMS International Conference on Dynamical Systems and Differential Equations
    • Place of Presentation
      Orland (Florida, USA)
    • Year and Date
      2012-07-02
    • Data Source
      KAKENHI-PROJECT-24654033
  • [Presentation] Blow-up set for type I blowing up solutions for a semilinear heat equation2012

    • Author(s)
      石毛和弘
    • Organizer
      5th Euro-Japanese Workshop on Blow-up
    • Place of Presentation
      Centre International de Recontres Mathematiques (Luminy,France)
    • Year and Date
      2012-09-12
    • Invited
    • Data Source
      KAKENHI-PROJECT-24654033
  • [Presentation] Convexity breaking of the free boundary for porous medium equations2011

    • Author(s)
      石毛和弘
    • Organizer
      The 3rd Scienceweb GCOE International Symposium
    • Place of Presentation
      東北大学
    • Year and Date
      2011-02-17
    • Data Source
      KAKENHI-PROJECT-19340036
  • [Presentation] Global solutions for a semilinear heat equation in the exterior domain of a compact set2010

    • Author(s)
      石毛和弘
    • Organizer
      RIMS研究集会「保存則と幾何学的偏微分方程式およびその応用」
    • Place of Presentation
      京都大学数理科学研究所
    • Year and Date
      2010-06-09
    • Data Source
      KAKENHI-PROJECT-19340036
  • [Presentation] Blow-up for a semilinear parabolic equation with large diffusion on R^N2010

    • Author(s)
      石毛和弘
    • Organizer
      4th Euro-Japanese Workshop on Blow-up
    • Place of Presentation
      ライデン
    • Year and Date
      2010-09-10
    • Data Source
      KAKENHI-PROJECT-19340036
  • [Presentation] Blow-up for a semilinear parabolic equation with large diffusion on R^N2010

    • Author(s)
      石毛和弘
    • Organizer
      4^<th> Euro-Japanese Workshop on Blow-up
    • Place of Presentation
      Lorentz Center, Leiden
    • Year and Date
      2010-09-10
    • Data Source
      KAKENHI-PROJECT-20224013
  • [Presentation] Hot spots for the heat equation with a rapidly decaying negative potential2009

    • Author(s)
      石毛和弘
    • Organizer
      1st Italian-Japanese workshop on geometric properties for parabolic and elliptic PDE's
    • Place of Presentation
      東北大学
    • Year and Date
      2009-06-16
    • Data Source
      KAKENHI-PROJECT-19340036
  • [Presentation] The decay of the solutions for the heat equation with a potential2009

    • Author(s)
      石毛和弘
    • Organizer
      Workshop on Viscosity Solutions and Related Topics
    • Place of Presentation
      サピアタワー・埼玉大サテライトキャンパス
    • Year and Date
      2009-01-30
    • Data Source
      KAKENHI-PROJECT-17340034
  • [Presentation] Blow-up for a semilinear parabolic equation with large diffusion on R^n2009

    • Author(s)
      Kazuhiro Ishige
    • Organizer
      The second Chile-Japan workshop on nonlinear elliptic and parabolic PDEs
    • Place of Presentation
      明治大学紫紺館
    • Year and Date
      2009-12-02
    • Data Source
      KAKENHI-PROJECT-18204010
  • [Presentation] Blow-up for a semilinear parabolic equation with large diffusion on R^N2009

    • Author(s)
      石毛和弘
    • Organizer
      The second Chile-Japan workshop on nonlinear elliptic and parabolic PDEs
    • Place of Presentation
      明治大学
    • Year and Date
      2009-12-02
    • Data Source
      KAKENHI-PROJECT-19340036
  • [Presentation] Movement of hot spots and blow-up problem for a semilinear heat equation2008

    • Author(s)
      石毛和弘
    • Organizer
      Equadiff 07 minisymposium 「Qualitive theory of elliptic and parabolic PDE」
    • Place of Presentation
      ウィーン
    • Year and Date
      2008-08-07
    • Data Source
      KAKENHI-PROJECT-19340036
  • [Presentation] Decay rate of the derivatives of the solutions of the heat equations in the exterior domain of a ball2007

    • Author(s)
      石毛和弘
    • Organizer
      研究集会「微分方程式についての最近の話題」
    • Place of Presentation
      群馬大学東京オフィス
    • Year and Date
      2007-10-21
    • Data Source
      KAKENHI-PROJECT-19340036
  • [Presentation] Movement of hot spots and blow-up problem for a semilinear heat equation2007

    • Author(s)
      Kazuhiro Ishige
    • Organizer
      Equadiff 07 (Wien), minisymposium "Qualitive theory of elliptic and parabolic PDE"
    • Place of Presentation
      Wien
    • Year and Date
      2007-08-07
    • Data Source
      KAKENHI-PROJECT-17340034
  • [Presentation] 熱方程式の解の最大点挙動について, 非線形数理 冬の学校「発展方程式系の解の挙動」2006

    • Author(s)
      石毛和弘
    • Organizer
      反応拡散方程式理論の最先端
    • Place of Presentation
      東京工業大学
    • Year and Date
      2006-12-14
    • Data Source
      KAKENHI-PROJECT-18204010
  • [Presentation] Blow-up set for a semilinear heat equation with large diffusion in RN2006

    • Author(s)
      石毛和弘
    • Organizer
      Second Euro-Japanese Workshop on Blow Up
    • Place of Presentation
      Madrid
    • Year and Date
      2006-09-08
    • Data Source
      KAKENHI-PROJECT-17340034
  • [Presentation] Blow-up set for type I blowing up solutions for a semilinear heat equation

    • Author(s)
      石毛和弘
    • Organizer
      5th Euro-Japanese Workshop on Blow-up
    • Place of Presentation
      Centre International de Recontres Mathematiques (Luminy, France)
    • Invited
    • Data Source
      KAKENHI-PROJECT-24654033
  • [Presentation] 熱方程式の解の凸性 I, II

    • Author(s)
      石毛和弘
    • Organizer
      第3回室蘭非線形解析研究
    • Place of Presentation
      室蘭工業大学,東室蘭市
    • Year and Date
      2013-11-01 – 2013-11-02
    • Invited
    • Data Source
      KAKENHI-PROJECT-25220702
  • 1.  OGAWA Takayoshi (20224107)
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  • 2.  YANAGIDA Eiji (80174548)
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  • 4.  TAKAGI Izumi (40154744)
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  • 6.  KURATA Kazuhiro (10186489)
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  • 8.  SHIGA Hiroshige (10154189)
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  • 116.  Shi Jun-Ping
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  • 117.  柳 青
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