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KOIKE Shigeaki  小池 茂昭

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… Alternative Names

小池 茂明  コイケ シゲアキ

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Researcher Number 90205295
Other IDs
External Links
Affiliation (Current) 2020: 早稲田大学, 理工学術院, 教授
Affiliation (based on the past Project Information) *help 2019 – 2020: 早稲田大学, 理工学術院, 教授
2015 – 2018: 東北大学, 理学研究科, 教授
2015: 東北大学, 大学院理学研究科, 教授
2011 – 2015: 東北大学, 理学(系)研究科(研究院), 教授
2012 – 2013: 東北大学, 大学院・理学研究科, 教授 … More
2012 – 2013: 東北大学, 理学研究科, 教授
2012: 埼玉大学・より東北大学, 大学院・理工学研究科, 教授
2007 – 2011: Saitama university, graduate schcolofscience and technology, professor
2006 – 2011: Saitama University, Department of Mathematics, Professor, 理工学研究科, 教授
2009: 埼玉大学, 大学院・理学研究科, 教授
2006: 埼玉大学, 大学院理工学研究科, 教授
2002 – 2005: Saitama University, Faculty of Science, Professor, 理学部, 教授
1992 – 2001: 埼玉大学, 理学部, 助教授 Less
Review Section/Research Field
Principal Investigator
Basic analysis / General mathematics (including Probability theory/Statistical mathematics) / 解析学 / Basic Section 12020:Mathematical analysis-related
Except Principal Investigator
Basic analysis / Global analysis / 解析学 / Geometry / Mathematical analysis / Basic analysis … More / Algebra / General mathematics (including Probability theory/Statistical mathematics) / 代数学・幾何学 / Algebra / General mathematics (including Probability theory/Statistical mathematics) Less
Keywords
Principal Investigator
粘性解 / 完全非線形方程式 / ハルナック不等式 / 動的計画原理 / 比較原理 / 最大値原理 / ABP最大値原理 / 退化楕円型方程式 / 一様楕円型方程式 / 最適制御 … More / ハルナックの不等式 / アイザックス方程式 / 弱ハルナック不等式 / 局所最大値原理 / 微分ゲーム / degenerate elliptic equation / optimal control / 変分問題 / 数理ファイナンス / Mathematical Finance / ハミルトン・ヤコビ・ベルマン方程式 / 最通制御 / ゲーム理論 / 状態拘束問題 / 楕円性 / プラグメン・リンデレフ定理 / 確率最適制御 / Lp粘性解 / Phragmen-Lindelov定理 / Pucci方程式 / 完全非線形 / 障害問題 / 非局所作用素 / 平均曲率流 / 弱Harnack不等式 / 自由境界問題 / 処罰法 / ヘルダー連続 / 分数冪ラプラス作用素 / 冪乗ラプラス作用素 / 最適制御理論 / レヴィ過程 / 比較定理 / 半連続粘性解 / ハミルトン・ヤコビ方程式 / 半連続性解 / viscosity solutions / differential game / state constraint / dynamic programming / Hamilton-Jacobi-Bellman equation / Isaacs equation / 退化楕円形方程式 / 一様楕円形方程式 / 状態拘束条件 / Viscosity Solutions / Degenerate Elliptic Equations / Uniformly Elliptic Equations / Fully Nonlinear Equations / Variational Problems / Harnack Inequality / Optimal Controls / 変分法 / viscosity solution / fully nonlinear equation / uniformly elliptic equation / calculus of variation / Harnack inequality / 正則性 … More
Except Principal Investigator
粘性解 / 最適制御 / ハミルトン・ヤコビ方程式 / 関数方程式 / ゼータ関数 / 非線形偏微分方程式 / 変分法 / 確率制御 / 解析学 / 特異点 / 退化楕円型方程式 / Bellman方程式 / 数理ファイナンス / 特異点論 / ラグランジュ特異点 / ルジャンドル特異点 / 安定性 / 変分問題 / 発展方程式 / 非線形現象 / 正則性 / 最適制御理論 / 曲率流 / viscosity solutions / 可制御性 / 近似可制御性 / 特異境界条件 / Symplectic characteristic / 擬微分作用素 / 解析的準楕円性 / 弱KAM理論 / 比較定理 / 偏微分方程式 / 相対性理論 / 双曲空間 / モジュラ形式 / 半整数の重さのモジュラ形式 / ジーゲルモジュラ形式 / ヤコビ形式 / 非線形シュレディンガー方程式 / 爆発問題 / 孤立波 / 非線形波動方程式 / 定在波 / 大偏差確率制御 / ポートフォリオ最適化 / リスク鋭感的確率制御 / 期待効用最大化 / 関数解析学 / 関数方程式論 / 世界面 / 勾配流 / 形状解析 / 漸近解析 / 特異摂動 / 半連続粘性解 / ガウス曲率流 / Hamilton-Jacobi equations / curvature flow / optimal control / Optimal control / 等高面法 / 凸化ガウス曲率流 / Viscosity solutions / モーメント問題 / Hamilton-Jacobi equation / 漸近問題 / 超曲面の発展方程式 / ウィルモア汎関数 / ヘルフリッヒ変分問題 / 中心多様体 / 分岐理論 / 分岐方程式 / Willmore functional / Helfrich variational problem / center manifold / bifurcation theory / bifurcation equation / 非線形解析 / スピン構造 / 複素スピン構造 / 四元数スピン構造 / ディラック作用素 / 指数定理 / ロボットアーム / 局所可解性 / CR多様体 / 最適制御問題 / 曲率流方程式 / 比較原理 / 強最大値原理 / 微分幾何 / シンプレクテイック幾何 / 接触幾何 / 画像処理,ブレーン宇宙 / 重力場レンズ / 反ドジッター空間 / ブレーン / 斜傾幾何学 / ルジャンドル双対性 / 双対性の曼荼羅 / 画像処理 / 反ド・シッター空間 / ガウス・ボンネ型定理 / ホロタイトはめ込み / ホロ凸 / ホロ平坦 / シンプレクテイック幾何学 / 擬球面 / 双対性 / ミンコフスキー空間 / ホロ球面 / 線形ワインガルテン曲面 / 非ブライアント型 / 保型形式 / ヤュビ形式 / 半整数9重さ9モジュラ形式 / 有限群 / 非線形クライン・ゴルドン方程式 / 定在波解 / 非線形波動 / 安定性解析 / Ostrovsky方程式 / 爆発 / 最適輸送問題 / 双対定理 / KRP / KRR / log-convexity / 確率論 / 確率最適制御 / 関数方程 / 統計数学 / 数理物理 / H-J-B 方程式 / デリバティブの価値評価 / 双対性定理 / エルゴード型確率制御 / ロバスト性 / エルゴード型H-J-B方程式 / インサイダー取引市場モデル / リスク鋭感的価値尺度 / ポートフォリオ最適化、大偏差確率制御 / H-J-B方程式 / ダウンサイドリスク最小化 / 価値尺度 / インサイダー取引モデル / 局所最大値原理 / ハルナック不等式 / ダウンサイドリスク / リスク鋭感的制御 / 弱近似 / 関数方程式の大域理論 / 非線型偏微分方程式 / 実関数論 / 非線型楕円型方程式 / 楕円型評価 / ソボレフの不等式 / ポワンカレの不等式 / コンパクト埋蔵 / ボワンカレの不等式 / コンパタト埋蔵 / 関数解析 / 非線形発展方程式 / 不安定性 / 非線形シュレデインガー方程式 / 軌道安定性 / ローレンツ空間形 / 光的幾何学 / 焦集合 / 光的絶対全曲率 / 光的超曲面 / 事象の地平線 / 大域的性質 / ミンコフスキー時空 / 空間的部分多様体 / 余次元 / 宇宙論 / 余次元2 / 管状部分多様体 / 制約条件 / Lagrangeの未定乗数 / Helfrich流 / 局所存在 / 大域存在 / 一意性 / 曲げエネルギー / 曲面の発展方程式 / 完全非線形偏微分方程式 / 弱KAM理論 / 関数方程式,米国,フランス,イタリア / 粘性解,米国,フランス,イタリア / 完全非線形偏微分方程式,米国,フランス,イタリア / 最適制御理論,米国,フランス,イタリア / 弱KAM理論,米国,フランス,イタリア / 曲面の発展方程式,米国,フランス,イタリア / 最適制御,米国,フランス,イタリア / 放物型方程式 / 爆発集合 / 放物型凸 / 最大点挙動 / 動的境界条件 / 放物型凸性 / 非線形放物型方程式系 / 非線形楕円型方程式 / O.D.E.型解 / 最適減衰評価 / 熱方程式 / 解の形状 / 最大点集合 / 高次漸近展開 / 等高面 / 凸性 / 初期値問題 / 曲面の時間発展 / 反応拡散系 / ハミルトンヤコビ方程式 / 退化放物型方程式 / Viscosity Solutions / Evolution of surfaces / Singular Perturbations / Optimal Control / Reaction-Diffusion systems / Hamilton-Jacobi Equations / Degenerate Elliptic Equations / Degenerate Parabolic Equations / 射影空間 / ベッチ数 / 巡回被覆 / 代数曲面 / モジュラー群 / 多様体 / 葉層 / 4元数 / 量子束 / 概接触構造 / cyclic covering / Betti number / algebraic surface / singularities / projective space / modular group / monifold / foliation / 概均質ベクトル空間 / b関数 / デジタル署名 / ミルナ-数 / セキュリティー / CR部分多様体 / ベルアン方程式 / Zeta function / Prehomogenous / singularity / 均質化理論 / 確率微分方程式 / 不変領域 / 摩耗のモデル / Lax-Hopfの公式 / ハミルトン・セコビ方程式 / ダイナミック・プログラミング / degenerate elliptic equations / stochastic optimal control / homogenization / semicontinuous viscosity solutions / 超局所解析 / 分散性波動 / 漸近展開 / 実特異点 / Microlocal analysis / Dispersion wave / Asymptotic expantion / Viscosity solution / Real singularities / Comparison theorem / 一様楕円型方程式 / 離散確率近似 / 緩和 / 積分微分方程式 / 適正粘性解 / 退化楕円形方程式 / Curvature flow / Gauss curvature flow / Stochastic optimal control / Level set approach / Uniformly elliptic equations / オイラー・ベルヌイ方程式 / 波動方程式 / Hamilton-Jacobi方程式 / 変分方程式 / 有限伝播速度 / 梁の方程式 / オイラー・ビーム / Kuhn-Tucker / 多目的制御問題 / 最短到達時間問題 / 微分ゲーム / 最適化 / controllability / Euler-Bernoulli equation / singular boundary condition / wave equation / optimal control theory / viscositv solution / variational equation / ベルマン方程式 / 最大値原理 / 対数ソボレフ不等式 / 指数ヘッジ / 界面モデル / 準古典的極限 / ポートフェリオ最適化 / 緩和現象 / コルモゴロフ方程式 / 最適戦略 / ウィーナー空間 / 非完備市場 / ファインマン・カッツ汎関数 / エルゴード型ベルマン方程式 / シュレーディンガー作用素 / 大偏差原理 / スペクトルギャップ / 加法的汎関数 / Bellman equations / Portfolio optimization / Maximum principle / Log Sobolev inequalities / Exponential hedge / Critical surface models / semi-classical limits / 写像の特異点 / トム=ボードマン集合 / 摂動 / コーエン=マコーレイ性 / 古典微分幾何 / ジェット空間 / 臍点と曲率線 / 指数 / 写像度 / オイラー数 / 劣解析写像 / ブロー解析写像 / Lipschitz性 / 自由分解 / 幾何学的方法 / Cohen-Macaulay性 / Lipshitz性 / Sardの定理 / Thom-Boardman多様体 / 実解析関数の特異点 / ブロー解析的写像 / Singularity of Map / Thom-Boardman set / pertuabtion / Cohen-Macaulay property / classical differential geometry / jet sapce / umblics and line of curvature / mathematical finance / level set approach / asymptotic problems / ヘルフリッチ変分問題 / クレブシュ・ゴルダン係数 / Evolution equations for hypersurfaces / regularity / 期待効用最大化問題 / 準変分不等式 / 取引費用 / インサイダー取引 / 線形ガウス型市場モデル / リスク鋭感的ポートフォリオ最大化 / super kernel / 密度関数推定 / スペクトル理論 / HJB方程式 / 最小エントロピー測度 / べき型期待効用最大化 / 指数型ウィナー汎関数 / 最小エントロピー / ファクターモデル / Hamilton-Jacobi-Bellman方程式 / ブラウン運動 / expected utility maximization problems / quasi-variational inequalities / transaction costs / insider trading / large deviation control / マース空間 / ヒルベルトモジュラ形式 / modular forms of half integral weight / zeta function / Jacobi form / modular forms / Maass wave form / 幾何学的発展方程式 / 条件付勾配流 / geometric evolution equations / gradient flow / 非線形問題 / 拡散方程式 / 函数方程式論 / 函数方程式 / 不可逆過程 / 函数解析 / 無限次元力学系 / 特異性 / 幾何学 / スピントロニクス / 垂足部分集合 / カスプ辺 / トポロジカル絶縁体 / 光化学反応 / ホログラフィー原理 / バルクエッジ対応 / バンド交差 / ツバメの尾曲面 / 垂足曲線 / グラフ型大波面 / 焦点集合 / バンド交差理論 / グラフ型波面 / Darboux枠 / ナビエ・ストークス方程式 / 外部問題 / 調和解析学 / 乱流の統計理論 / 情報縮約手法 / 境界層理論 / Navier-Stokes 方程式 / Lorentz 空間 / Besov空間 / 最大正則性定理 / 自己相似解 / Liouville 型定理 / エネルギー等式 / オイラー方程式 / 調和ベクトル場 / 乱流の普遍性 / 直接数値シミュレーション / 球対称解 / 準特性条件 / 最大正則性 / Hadamard 変分公式 / プラントル方程式 / ウェーブレット展開 / Keller-Segel 方程式系 / エネルギー不等式 / 渦度 Less
  • Research Projects

    (42 results)
  • Research Products

    (236 results)
  • Co-Researchers

    (112 People)
  •  完全非線形方程式の粘性解の正則性理論とその応用Principal InvestigatorOngoing

    • Principal Investigator
      小池 茂昭
    • Project Period (FY)
      2020 – 2024
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Review Section
      Basic Section 12020:Mathematical analysis-related
    • Research Institution
      Waseda University
  •  New developments of the theory of viscosity solutions and its applicationsOngoing

    • Principal Investigator
      石井 仁司
    • Project Period (FY)
      2016 – 2019
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Mathematical analysis
    • Research Institution
      Tsuda College
      Waseda University
  •  Evolution equations describing non-standard irreversible processes

    • Principal Investigator
      Akagi Goro
    • Project Period (FY)
      2016 – 2019
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Mathematical analysis
    • Research Institution
      Tohoku University
  •  New development of mathematical theory of turbulence by collaboration of the nonlinear analysis and computational fluid dynamicsOngoing

    • Principal Investigator
      小薗 英雄
    • Project Period (FY)
      2016 – 2020
    • Research Category
      Grant-in-Aid for Scientific Research (S)
    • Research Field
      Mathematical analysis
    • Research Institution
      Waseda University
  •  偏微分方程式における漸近解析と形状解析の融合と革新Ongoing

    • Principal Investigator
      石毛 和弘
    • Project Period (FY)
      2015 – 2019
    • Research Category
      Grant-in-Aid for Scientific Research (A)
    • Research Field
      Mathematical analysis
    • Research Institution
      The University of Tokyo
      Tohoku University
  •  Geometric studies on singularity of non-linear phenomena

    • Principal Investigator
      Izumiya Shyuichi
    • Project Period (FY)
      2014 – 2017
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Geometry
    • Research Institution
      Hokkaido University
  •  Deepening of the theory of viscosity solutions and its applications

    • Principal Investigator
      ISHII Hitoshi
    • Project Period (FY)
      2011 – 2015
    • Research Category
      Grant-in-Aid for Scientific Research (A)
    • Research Field
      Basic analysis
    • Research Institution
      Waseda University
  •  Fundamental theory for viscosity solutions of fully nonlinear equations and its applicationsPrincipal Investigator

    • 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 equations

    • 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
  •  A research on the geometric singularities of non-linear phenomena

    • Principal Investigator
      IZUMIYA Shyuichi
    • Project Period (FY)
      2010 – 2013
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Geometry
    • Research Institution
      Hokkaido University
  •  Analysis of gradient flow for the bending energy of plane curves under multiple constraints

    • Principal Investigator
      NAGASAWA Takeyuki
    • Project Period (FY)
      2010 – 2012
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Global analysis
    • Research Institution
      Saitama University
  •  Studies on a unified point of view on global theories of nonlinear elliptic equations

    • Principal Investigator
      OZAWA Tohru
    • Project Period (FY)
      2009 – 2013
    • Research Category
      Grant-in-Aid for Scientific Research (A)
    • Research Field
      Global analysis
    • Research Institution
      Waseda University
  •  Synthetic study of nonlinear evolution equation and its related topics

    • Principal Investigator
      OTANI Mitsuharu
    • Project Period (FY)
      2009 – 2012
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Basic analysis
    • Research Institution
      Waseda University
  •  Stability analysis on solitary wave solutions for systems of nonlinear wave equations

    • Principal Investigator
      OHTA Masahito
    • Project Period (FY)
      2009 – 2011
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Basic analysis
    • Research Institution
      Saitama University
  •  Development of the methods of stochastic control and filtering in mathematical finance

    • Principal Investigator
      NAGAI Hideo
    • Project Period (FY)
      2008 – 2012
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      General mathematics (including Probability theory/Statistical mathematics)
    • Research Institution
      Kansai University
      Osaka University
  •  Viscosity solution theory for fully nonlinear equations and its applicationsPrincipal Investigator

    • Principal Investigator
      KOIKE Shigeaki
    • Project Period (FY)
      2008 – 2010
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Basic analysis
    • Research Institution
      Saitama University
  •  Stochastic least principle and its applications

    • Principal Investigator
      MIKAMI Toshio
    • Project Period (FY)
      2007 – 2010
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Basic analysis
    • Research Institution
      Hiroshima University
  •  RESEARCH ON THE THEORY OF VISCOSITY SOLUTIONS OF DIFFERENTIAL EQUATIONS AND ITS APPLICATIONS

    • Principal Investigator
      ISHII Hitoshi
    • Project Period (FY)
      2006 – 2009
    • Research Category
      Grant-in-Aid for Scientific Research (A)
    • Research Field
      Basic analysis
    • Research Institution
      Waseda University
  •  Differential Geometry and Partial Differential Equations as an application of Singularity theory

    • Principal Investigator
      IZUMIYA Shyuichi
    • Project Period (FY)
      2006 – 2009
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Geometry
    • Research Institution
      Hokkaido University
  •  An arithmetic study of modular forms of half integral weight and Siegel modular forms

    • Principal Investigator
      KOJIMA Hisashi
    • Project Period (FY)
      2006 – 2008
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      Saitama University
  •  STUDIES ON STABILITY OF SOLITARY WAVES AND BLOWUP OF SOLUTIONS FORNONLINEAR WAVE EQUATIONS

    • Principal Investigator
      OHTA Masahito
    • Project Period (FY)
      2006 – 2008
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Basic analysis
    • Research Institution
      Saitama University
  •  Reserch on the stability of solutions of geometric evolution equation using group equivariance

    • Principal Investigator
      NAGASAWA Takeyuki
    • Project Period (FY)
      2005 – 2007
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Global analysis
    • Research Institution
      Saitama University
  •  Expected utility maximiaation problems and stochastic control

    • Principal Investigator
      NAGAI HIideo
    • Project Period (FY)
      2004 – 2007
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      General mathematics (including Probability theory/Statistical mathematics)
    • Research Institution
      Osaka University
  •  On the study of the theory of viscosity solutions and its new developmentsPrincipal Investigator

    • Principal Investigator
      KOIKE Shigeaki
    • Project Period (FY)
      2004 – 2007
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Basic analysis
    • Research Institution
      Saitama University
  •  Arithmetic study of Fourier coefficients of modular forms of half integral weight and Siegel modular forms

    • Principal Investigator
      KOJIMA Hisashi
    • Project Period (FY)
      2004 – 2005
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      SAITAMA UNIVERSITY
  •  Geometry of singularities of mapping II

    • Principal Investigator
      FUKUI Toshizumi
    • Project Period (FY)
      2003 – 2006
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Geometry
    • Research Institution
      Saitama University
  •  Research on the theory of viscosity solutions and its applications

    • Principal Investigator
      ISHII Hitoshi
    • Project Period (FY)
      2003 – 2005
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Basic analysis
    • Research Institution
      Waseda University
  •  Research on geometric evolution equations for hypersurfaoes

    • Principal Investigator
      NAGASAWA Takeyuki
    • Project Period (FY)
      2003 – 2004
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Global analysis
    • Research Institution
      SAITAMA UNIVERSITY
  •  BELLMAN EQUATIONS OF RISK-SENRSITIVE STOCHASTIC AND THEIR APPLICATIONS

    • Principal Investigator
      NAGAI Hideo
    • Project Period (FY)
      2001 – 2003
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      General mathematics (including Probability theory/Statistical mathematics)
    • Research Institution
      Osaka University
  •  Research on viscosity solutions of differential equations and their applications

    • Principal Investigator
      ISHII Hitoshi
    • Project Period (FY)
      2000 – 2002
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Basic analysis
    • Research Institution
      Waseda University
      Tokyo Metropolitan University
  •  Study on Optimal Controls and Differential Games via the Viscosity Solution TheoryPrincipal Investigator

    • Principal Investigator
      KOIKE Shigeaki
    • Project Period (FY)
      2000 – 2002
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      General mathematics (including Probability theory/Statistical mathematics)
    • Research Institution
      Saitama University
  •  Optimal Control Theory of Enler-BernouIIi Equation

    • Principal Investigator
      TSUJIOKA Kunio
    • Project Period (FY)
      2000 – 2002
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Basic analysis
    • Research Institution
      Saitama University
  •  On the stracture of solutions of partial differential eauqtions

    • Principal Investigator
      SAKURAI Tsutomu
    • Project Period (FY)
      1999 – 2000
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Basic analysis
    • Research Institution
      Saitama University
  •  Theory and applications of viscosity solutions

    • Principal Investigator
      ISHII Hitoshi
    • Project Period (FY)
      1997 – 1999
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      解析学
    • Research Institution
      TOKYO METROPOLITAN UNIVERSITY
  •  Applications to the optimal control and differential game via the viscosity solution theoryPrincipal Investigator

    • Principal Investigator
      KOIKE Shigeaki
    • Project Period (FY)
      1997 – 1999
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      General mathematics (including Probability theory/Statistical mathematics)
    • Research Institution
      Saitama University
  •  偏微分方程式の局所および大域解析

    • Principal Investigator
      櫻井 力
    • Project Period (FY)
      1996
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      解析学
    • Research Institution
      Saitama University
  •  The study of the pole of the zeta function.

    • Principal Investigator
      YANO Tamaki
    • Project Period (FY)
      1996 – 1997
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      解析学
    • Research Institution
      Saitama University
  •  Joint Study on Viscosity Solutions and Their Applications

    • Principal Investigator
      ISHII Hitoshi
    • Project Period (FY)
      1995
    • Research Category
      Grant-in-Aid for international Scientific Research
    • Research Institution
      Chuo University
  •  On Birational Geometry of Algebraic Varieties

    • Principal Investigator
      SAKAI Fumio
    • Project Period (FY)
      1995 – 1996
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Algebra
    • Research Institution
      Saitama University
  •  非線形退化楕円型方程式の粘性解の研究Principal Investigator

    • Principal Investigator
      小池 茂昭
    • Project Period (FY)
      1994
    • Research Category
      Grant-in-Aid for Encouragement of Young Scientists (A)
    • Research Field
      解析学
    • Research Institution
      Saitama University
  •  特異な境界条件を持った偏微分方程式の最適制御理論

    • Principal Investigator
      TSUJIOKA Kunio
    • Project Period (FY)
      1993
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      解析学
    • Research Institution
      Saitama University
  •  多様体の大域的構造の研究

    • Principal Investigator
      NAGASE Masayoshi
    • Project Period (FY)
      1992
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      代数学・幾何学
    • Research Institution
      Saitama University

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

All Journal Article Presentation Book

  • [Book] 粘性解 -比較原理を中心に-2016

    • Author(s)
      小池茂昭
    • Total Pages
      216
    • Publisher
      共立出版
    • Data Source
      KAKENHI-PROJECT-23340028
  • [Book] リメディアル数学2011

    • Author(s)
      泉屋周一、上江洌達也、小池茂昭、重本和泰、徳永浩雄
    • Publisher
      数学書房
    • Data Source
      KAKENHI-PROJECT-23340028
  • [Book] International Conference for the 25th Anniversary of Viscosity Solutions2008

    • Author(s)
      Y.Giga, K.Ishii,S.Koike, T.Ozawa, N.Yamada編集
    • Total Pages
      255
    • Publisher
      Gakkotosho
    • Data Source
      KAKENHI-PROJECT-20340026
  • [Book] GAKUTO International Series, Mathematical Sciences and Applications2008

    • Author(s)
      Y. Giga, K. Ishii, S. Koike, T. Ozawa, N. Yamada, Gakkotosho
    • Total Pages
      30
    • Publisher
      International Conference for the 25th Anniversary of Viscosity Solutions
    • Data Source
      KAKENHI-PROJECT-20340026
  • [Book] Proceedings of the International Conference on the 25th Anniversary of Viscosity Solutions2008

    • Author(s)
      Y. Giga, K. Ishii, S. Koike, T. Ozawa, N. Yamada (編集)
    • Total Pages
      255
    • Publisher
      学校図書
    • Data Source
      KAKENHI-PROJECT-18204009
  • [Book] International Conference for the 25th Anniversary of Viscosity Solutions, GAKUTO International Series, Mathematical Sciences and Applications, 30巻2008

    • Author(s)
      edited by Y.Giga, K.Ishii, S.Koike, T.Ozawa, N.Yamada
    • Publisher
      Gakkotosho
    • Data Source
      KAKENHI-PROJECT-20340026
  • [Book] 微分方程式の粘性解理論とその発展2007

    • Author(s)
      S.Koike(編者)
    • Total Pages
      160
    • Publisher
      京都大学数理解析研究所
    • Data Source
      KAKENHI-PROJECT-18204009
  • [Book] 数学辞典・第4版「粘性解」2007

    • Author(s)
      石井仁司, 小池茂昭
    • Total Pages
      4
    • Publisher
      岩波書店
    • Data Source
      KAKENHI-PROJECT-16340032
  • [Book] 数理ファイナンスに現れる偏微分方程式2007

    • Author(s)
      小池茂昭
    • Publisher
      「これからの非線型偏微分方程式」日本評論社
    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-16340032
  • [Book] 微分方程式の粘性解理論とその発展2006

    • Author(s)
      小池 茂昭
    • Total Pages
      140
    • Publisher
      京都大学数理解析研究所(講究録)
    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-15340051
  • [Book] 微分方程式の粘性解理論とその発展2005

    • Author(s)
      小池 茂昭(編集)
    • Total Pages
      149
    • Publisher
      京都大学数理解析研究所(講究録)
    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-15340051
  • [Book] A Beginner's Guide to the Theory of Viscosity Solutions2004

    • Author(s)
      S.Koike
    • Publisher
      Japan Math.Soc., Tokyo
    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-15540195
  • [Book] A Beginner's Guide to the Theory of Viscosity Solutions2004

    • Author(s)
      S.Koike
    • Total Pages
      123
    • Publisher
      日本数学会
    • Data Source
      KAKENHI-PROJECT-16340025
  • [Book] Twelfth Tokyo conference on nonlinear PDE, 20042004

    • Author(s)
      小池 茂昭, 石井 仁司(編集)
    • Total Pages
      139
    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-15340051
  • [Book] A Beginner' s Guide to the Theory of Viscosity Solutions2004

    • Author(s)
      S.Koike
    • Total Pages
      123
    • Publisher
      日本数学会
    • Data Source
      KAKENHI-PROJECT-16340032
  • [Book] A Beginner's Guide to the Theory of Viscosity Solutions2004

    • Author(s)
      S. Koike
    • Total Pages
      123
    • Publisher
      日本数学会
    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-16340032
  • [Book] A Beginner's Guide to the Theory of Viscosity Solutions2004

    • Author(s)
      小池 茂昭
    • Total Pages
      123
    • Publisher
      日本数学会
    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-15340051
  • [Journal Article] On Lp-viscosity solutions of bilateral obstacle problems with unbounded ingredients2020

    • Author(s)
      Shigeaki Koike, Shota Tateyama
    • Journal Title

      Mathematische Annalen

      Volume: -

    • DOI

      10.1007/s00208-019-01854-z

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-16H03946
  • [Journal Article] Weak Harnack inequality for fully nonlinear uniformly parabolic equations with unbounded ingredients and applications2019

    • Author(s)
      Koike Shigeaki、Swiech Andrzej、Tateyama Shota
    • Journal Title

      Nonlinear Analysis

      Volume: 185 Pages: 264-289

    • DOI

      10.1016/j.na.2019.03.005

    • Peer Reviewed / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-16H03948, KAKENHI-PROJECT-16H03946
  • [Journal Article] On the rate of convergence of solutions in free boundary problems via penalization2018

    • Author(s)
      Koike Shigeaki、Kosugi Takahiro、Naito Makoto
    • Journal Title

      Journal of Mathematical Analysis and Applications

      Volume: 457 Pages: 436-460

    • DOI

      10.1016/j.jmaa.2017.07.074

    • Peer Reviewed / Open Access
    • Data Source
      KAKENHI-PROJECT-16J01494, KAKENHI-PROJECT-16H03946, KAKENHI-PROJECT-16H03948
  • [Journal Article] Remarks on Viscosity Solutions for Mean Curvature Flow with Obstacles2017

    • Author(s)
      Ishii K.、Kamata H.、Koike S.
    • Journal Title

      Mathematics for Nonlinear Phenomena: Analysis and Computation, Springer Proceedings in Mathematics & Statistics

      Volume: 215 Pages: 83-103

    • DOI

      10.1007/978-3-319-66764-5_5

    • Peer Reviewed / Open Access
    • Data Source
      KAKENHI-PROJECT-17K05364, KAKENHI-PROJECT-25247008, KAKENHI-PROJECT-16H03946
  • [Journal Article] Maximum principle for Pucci equations with sublinear growth inDuand its applications2017

    • Author(s)
      S. Koike and T. Kosugi
    • Journal Title

      Nonlinear Anal.

      Volume: 印刷中 Pages: 1-15

    • DOI

      10.1016/j.na.2017.03.018

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-16J01494, KAKENHI-PROJECT-16H03948, KAKENHI-PROJECT-15H02058, KAKENHI-PROJECT-16H03946
  • [Journal Article] Entire solutions of fully nonlinear elliptic equations with a superlinear gradient term2016

    • Author(s)
      G. Galise, S. Koike, O. Ley, A. Vitolo
    • Journal Title

      J. Math. Anal. Appl.

      Volume: 441 Pages: 194-210

    • DOI

      10.1016/j.jmaa.2016.03.083

    • Peer Reviewed / Acknowledgement Compliant / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-23340028, KAKENHI-PROJECT-16H03948, KAKENHI-PROJECT-15H02058
  • [Journal Article] On the ABP maximum principle for Lp- viscosity solutions of fully nonlinear PDE2015

    • Author(s)
      Shigeaki Koike
    • Journal Title

      Nonlinear dynamics in partial differential equations

      Volume: 64 Pages: 113-124

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-23244015
  • [Journal Article] Remarks on the comparison principle for quasilinear PDE with no zeroth order terms2015

    • Author(s)
      Shigeaki Koike, Takahiro Kosugi
    • Journal Title

      Communications in Pure and Applied Analysis

      Volume: 14 Pages: 133-142

    • DOI

      10.3934/cpaa.2015.14.133

    • Peer Reviewed / Acknowledgement Compliant / Open Access
    • Data Source
      KAKENHI-PROJECT-23244015, KAKENHI-PROJECT-23340028
  • [Journal Article] Regularity results and large time behavior for integro-differential equations with coercive Hamiltonians2015

    • Author(s)
      G. Barles, S. Koike, O. Ley and E. Topp
    • Journal Title

      Calculus of Variations, and Partial Differential Equations

      Volume: 掲載確定

    • Peer Reviewed / Open Access
    • Data Source
      KAKENHI-PROJECT-23340028
  • [Journal Article] Regularity results and large time behavior for integro- differential equations with coercive Hamiltonians2015

    • Author(s)
      Guy Barles, Shigeaki Koike, Olivier Ley, Erwin Topp
    • Journal Title

      Calc. Var. Partial Differential Equations

      Volume: 54 Pages: 539-572

    • DOI

      10.1007/s00526-014-0794-x

    • Peer Reviewed / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-23244015
  • [Journal Article] On the ABP maximum principle for Lp-viscosity solutions of fully nonlinear PDE2014

    • Author(s)
      S. Koike
    • Journal Title

      Nonlinear Dynamics in Partial Differential Equations,Mathematics, Advanced Studies in Pure Mathematics

      Volume: 64 Pages: 113-124

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-23340028
  • [Journal Article] Representation formulas for solutions of Isaacs integro-PDE2013

    • Author(s)
      S. Koike and A. Swiech
    • Journal Title

      Indiana University Mathematical Journal

      Volume: 未定

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-23340028
  • [Journal Article] On the ABP maximum principle for Lp-viscosity solutions of fully nonlinear PDE2013

    • Author(s)
      S. Koike
    • Journal Title

      the Proceedings of the 4th MSJ-SI Conference on Nonlinear Dynamics in Partial Differential Equations

      Volume: 無

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-23244015
  • [Journal Article] On the ABP maximum principle and applications2013

    • Author(s)
      S. Koike
    • Journal Title

      数理解析研究所講究録

      Volume: 1845 Pages: 107-120

    • Data Source
      KAKENHI-PROJECT-23340028
  • [Journal Article] Representation formulas for solutions of Isaacs integro-PDE2013

    • Author(s)
      S. Koike, A. Swiech
    • Journal Title

      Indiana University Mathematical Journal

      Volume: 未定

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-23244015
  • [Journal Article] Representation formulas for solutions of Isaacs integro-PDE2013

    • Author(s)
      S. Koike, A. Swiech
    • Journal Title

      Indiana Univ. Math. J.

      Volume: 62 Pages: 1473-1502

    • DOI

      10.1512/iumj.2013.62.5109

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-21244010, KAKENHI-PROJECT-23244015, KAKENHI-PROJECT-23340028
  • [Journal Article] On the ABP maximum principle and applications2012

    • Author(s)
      S.Koike
    • Journal Title

      数理解析研究所講究録「幾何学的偏微分方程式における保存則と正則性特異性の研究」

      Volume: (未定)(掲載確定)

    • Data Source
      KAKENHI-PROJECT-23244015
  • [Journal Article] Local maximum principle for L^p-viscosity solutions of fully nonlinear PDEs with unbounded ingredients2012

    • Author(s)
      S. Koike, A. Swiech
    • Journal Title

      Communications in Pure and Applied Analysis

      Volume: 11 Pages: 1897-1910

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-21244010
  • [Journal Article] Local maximum principle for Lp-viscosity solutions of fully nonlinear elliptic PDEs with unbounded coefficients2012

    • Author(s)
      S. Koike, A. Swiech
    • Journal Title

      Communications in Pure and Applied Analysis

      Volume: 11, No5 Pages: 1897-1910

    • DOI

      10.3934/cpaa.2012.11.1897

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-20340019, KAKENHI-PROJECT-23244015, KAKENHI-PROJECT-23340028
  • [Journal Article] On the ABP maximum principle for Lp-viscosity solutions of fully nonlinear PDE2012

    • Author(s)
      S.Koike
    • Journal Title

      Proceedings of the 4th MSJ-SI Conference on Nonlinear Dynamics in Partial Differential Equations

      Volume: (掲載確定)(未定)

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-23244015
  • [Journal Article] Comparison principle for unbounded viscosity solutions of degenerate elliptic PDEs with gradient superlinear terms2011

    • Author(s)
      S.Koike, O.Ley
    • Journal Title

      Journal of Mathematical Analysis and Applications

      Volume: 381 Pages: 110-120

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-21244010
  • [Journal Article] Weak Harnack inequality for fully nonlinear uniformly elliptic PDE with unbounded ingredients2011

    • Author(s)
      S.Koike, O.Ley
    • Journal Title

      Journal Mathematical Analysis and Applications

      Volume: 29(掲載確定)

    • NAID

      10026998426

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-20340019
  • [Journal Article] Comparison principle for unbounded viscosity solutions of degenerate elliptic PDEs with gradient superlinear terms2011

    • Author(s)
      S.Koike, O. Ley
    • Journal Title

      Journal of Mathema tical Analysis and Applications

      Volume: 381 Pages: 110-120

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-21244010
  • [Journal Article] Comparison principle for unbounded viscosity solutions of degenerate elliptic PDEs with gradient superlinear terms2011

    • Author(s)
      S. Koike, O. Ley
    • Journal Title

      Journal of Mathematical Analysis and Applications

      Volume: vol. 381 (1) Pages: 110-120

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-20340019
  • [Journal Article] Comparison principle for unbounded viscosity solutions of degenerate elliptic PDEs with gradient superlinear terms2011

    • Author(s)
      S. Koike
    • Journal Title

      Journal of Mathematical Analysis and Applications

      Volume: 381 Pages: 110-120

    • DOI

      10.1016/j.jmaa.2011.03.009

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-20340019, KAKENHI-PROJECT-23244015, KAKENHI-PROJECT-23340028
  • [Journal Article] Weak Harnack inequality for fully nonlinear PDEs with superlinear growth terms in Du2010

    • Author(s)
      S. Koike
    • Journal Title

      微分方程式の粘性解理論とその周辺-数理解析研究所講究録

      Volume: 1695巻 Pages: 139-147

    • Data Source
      KAKENHI-PROJECT-20340026
  • [Journal Article] Weak Harnack inequality for fully nonlinear PDEs with superlinear growth terms in Du2010

    • Author(s)
      S.Koike
    • Journal Title

      数理解析研究所講究録「微分方程式の粘性解理論とその周辺」

      Volume: 1695 Pages: 139-147

    • Data Source
      KAKENHI-PROJECT-20340026
  • [Journal Article] 粘性解が古典解になる時-Caffarelliの研究の紹介2010

    • Author(s)
      S.Koike
    • Journal Title

      数学

      Volume: 第62巻第9号 Pages: 315-328

    • NAID

      130004558916

    • Data Source
      KAKENHI-PROJECT-21244010
  • [Journal Article] Weak Harnack inequality for fully nonlinear PDEs with superlinear growth terms in Du2010

    • Author(s)
      S.Koike
    • Journal Title

      数理解析研究所講究録「微分方程式の粘性解理論とその周辺」 1695巻

      Pages: 139-147

    • Data Source
      KAKENHI-PROJECT-20340026
  • [Journal Article] Weak Harnack inequality for fully nonlinear PDEs with superlinear growth terms in Du2010

    • Author(s)
      S.Koike
    • Journal Title

      Surikaisekikenkyusho Kokyuroku

      Volume: 1695 Pages: 139-147

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-21244010
  • [Journal Article] Remarks on the Phragmen-Lindeof Theorem for Lp-viscosity solutions of fully nonlinear PDEs with unbounded ingredients2009

    • Author(s)
      S.Koike, K.Nakagawa
    • Journal Title

      Electric Journal of Differential Equations 146

      Pages: 1-14

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-20340026
  • [Journal Article] Recent developments on maximum principle for Lp visoosty solutions of fully nonlinear elliptic/parabolic PDEs2009

    • Author(s)
      S. Koike
    • Journal Title

      Recent progress on reaction-diffusion systems and viscosity solutions

      Pages: 131-153

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18204009
  • [Journal Article] Weak Harnack inequality for fully nonlinear uniformly elliptic PDE with unbounded ingredients.2009

    • Author(s)
      S. Koike, A. Swiech
    • Journal Title

      J. Math. Soc. Japan

      Volume: 61巻 Pages: 723-755

    • NAID

      10026998426

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-20340026
  • [Journal Article] Existence of strong solutions of Pucci extremal equations with superlinear growth in Du2009

    • Author(s)
      S.Koike, A.Swiech
    • Journal Title

      J.Fixed Point Theory Appl. 5

      Pages: 291-304

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18204009
  • [Journal Article] Weak Harnack inequality for fully nonlinear uniformly elliptic PDE with unbounded ingredients2009

    • Author(s)
      S.Koike and A.Swiech
    • Journal Title

      JMSJ

      Volume: 61 Issue: 3 Pages: 723-755

    • DOI

      10.2969/jmsj/06130723

    • NAID

      10026998426

    • ISSN
      0025-5645, 1881-1167, 1881-2333
    • Language
      English
    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-20340019
  • [Journal Article] Weak Harnack inequality for fully nonlinear uniformly elliptic PDE with unbounded ingredients.2009

    • Author(s)
      S.Koike, A.Swiech
    • Journal Title

      J.Math.Soc.Japan 61巻

      Pages: 723-755

    • NAID

      10026998426

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-20340026
  • [Journal Article] Weak Harnack inequality for fully nonlinear uniformly elliptic PDE with unbounded ingredients2009

    • Author(s)
      小池茂昭、Andrej Swiech
    • Journal Title

      J. Math. Soc. Japan 61巻

      Pages: 723-755

    • NAID

      10026998426

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18204009
  • [Journal Article] Weak Harnack inequality for fully nonlinear uniformly elliptic PDE with unbounded ingredients2009

    • Author(s)
      S.Koike, A.Swiech
    • Journal Title

      J.Math.Soc.Japan 61

      Pages: 723-755

    • NAID

      10026998426

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18204009
  • [Journal Article] Existence of strong solutions of Pucci extremal equations with superlinear growth in Du2009

    • Author(s)
      S.Koike and A.Swiech
    • Journal Title

      Journal of the Fixed Point Theory and its Application

      Volume: 5 Pages: 291-304

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-20340019
  • [Journal Article] Recent developments on maximun principle for Lp-viscosity solutions of fully nonlinear elliptic/parabolic PDEs2009

    • Author(s)
      S.Koike
    • Journal Title

      Recent Progress on Reaction-diffusion Systems and Viscosity Solutions

      Pages: 131-153

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18204009
  • [Journal Article] Weak Harnack inequality for fully nonlinear uniformly elliptic PDE with unbounded ingredients2009

    • Author(s)
      S.Koike
    • Journal Title

      Journal of Mathematical Society of Japan 61(3)

      Pages: 723-755

    • NAID

      10026998426

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-21244010
  • [Journal Article] Recent developments on maximum principle for Lp-viscosity solutions of fully nonlinear elliptic/parabolic PDEs2009

    • Author(s)
      S.Koike
    • Journal Title

      Recent Progress on Reaction-diffusion Systems and Viscosity Solutions

      Pages: 131-153

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-20340026
  • [Journal Article] Existence of strong solutions of Pucci extremal equations with superlinear growth in Du.2009

    • Author(s)
      S.Koike, A.Swiech
    • Journal Title

      J.Fixed Point Theory Appl. 5巻

      Pages: 291-304

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-20340026
  • [Journal Article] Remarks on the Phragmen-Lindelof theorem for Lp-viscosity solutions of fully nonlinear PDEs with unbounded ingredients. Electron.2009

    • Author(s)
      S.Koike, K.Nakagawa
    • Journal Title

      J.Differential Equations 146巻

      Pages: 1-14

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-20340026
  • [Journal Article] Weak Harnack inequality for fully nonlinear uniformly elliptic PDE with unbounded ingredients2009

    • Author(s)
      S.Koike, A.Swiech
    • Journal Title

      Journal of Mathematical Society of Japan 61

      Pages: 723-755

    • NAID

      10026998426

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-20340019
  • [Journal Article] Recent developments on maximum principle for Lp-viscosity solutions of fully nonlinear elliptic/parabolic PDEs. Recent Progress on Reaction-Diffusion Systems and Viscosity Solutions2009

    • Author(s)
      S. Koike
    • Journal Title

      World Sci. Publ., Hackensack, NJ

      Pages: 131-153

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-20340026
  • [Journal Article] Remarks on the Phragmen-Lindel of theorem for Lp-viscosity solutions of fully nonlinear PDEs with unbounded ingredients2009

    • Author(s)
      S. Koike, K. Nakagawa
    • Journal Title

      Electron. J. Differential Equations

      Volume: 146巻 Pages: 1-14

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-20340026
  • [Journal Article] Remarks on the Phragmen-Lindelof Theorem for L^p-viscosity solutions of fully nonlinear PDEs with unbounded ingredients2009

    • Author(s)
      S.Koike, K. Nakagawa
    • Journal Title

      Electronic Journal of Differential Equations

      Volume: 146 Pages: 1-14

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-21244010
  • [Journal Article] Recent developments on maximum principle for Lp-viscosity solutions of fully nonlinear elliptic/parabolic PDEs.2009

    • Author(s)
      S.Koike
    • Journal Title

      Recent Progress on Reaction-Diffusion Systems and Viscosity Solutions(World Sci.Publ.)

      Pages: 131-153

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-20340026
  • [Journal Article] Weak Harnack inequality for fully nonlinear uniformly elliptic PDE with unbounded ingredients2009

    • Author(s)
      S.Koike, A. Swiech
    • Journal Title

      Journal of Mathematical Society of Japan

      Volume: 61 Pages: 723-755

    • NAID

      10026998426

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-21244010
  • [Journal Article] Weak Harnack inequality for fully nonlinear uniformly elliptic PDE with unbounded ingredients2009

    • Author(s)
      S.Koike, A.Swiech
    • Journal Title

      Journal Mathematical Society of Japan 61

      Pages: 723-755

    • NAID

      10026998426

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-20340026
  • [Journal Article] Existence of strong solutions of Pucci extremal equations with superlinear growth in Du2009

    • Author(s)
      S.Koike, A.Swiech
    • Journal Title

      Journal of the Fixed Point Theory and its Applications 5

      Pages: 291-304

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-20340026
  • [Journal Article] Remarks on the Phragmen-Lindelof Theorem for Lp-viscosity solutions of fully nonlinear PDEs with unbounded ingredients2009

    • Author(s)
      S.Koike, K.Nakagawa
    • Journal Title

      Electron.J.Differential Equations 146

      Pages: 1-14

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18204009
  • [Journal Article] Weak Harnack inequality for fully nonlinear uniformly elliptic PDE with unbounded ingredients2009

    • Author(s)
      S.Koike, A.Swiech
    • Journal Title

      Journal of Mathematical Society of Japan vol.61

      Pages: 723-755

    • NAID

      10026998426

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-20340019
  • [Journal Article] Existence of strong solutions of Pucci extremal equations with superlinear growth in Du2009

    • Author(s)
      S.Koike, A.Swiech
    • Journal Title

      Journal of the Fixed Point Theory and its Applications 5

      Pages: 291-304

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-20340019
  • [Journal Article] Existence of strong solutions of Pucci extremal equations with superlinear growth in Du. J2009

    • Author(s)
      S. Koike, A. Swiech
    • Journal Title

      Fixed Point Theory Appl

      Volume: 5巻 Pages: 291-304

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-20340026
  • [Journal Article] Weak Harnack inequality for fully nonlinear uniformly elliptic PDE with unbounded ingredients2008

    • Author(s)
      S. Koike, A. Swiech
    • Journal Title

      J. Math. Soc. Japan (未定)(掲載確定)

    • NAID

      10026998426

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18204009
  • [Journal Article] Maximum principle via the iterated comparison function method2007

    • Author(s)
      S. Koike
    • Journal Title

      数理解析研究所講究録 1545

      Pages: 1-12

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-16340032
  • [Journal Article] A linear-quadratic control problem with discretionary stopping2007

    • Author(s)
      S., Koike, et. al.
    • Journal Title

      Discrete and Continuous Dynamical Systems, Series B 8-2

      Pages: 261-277

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-16340025
  • [Journal Article] A linear-quadratic control problem with discretionary stopping2007

    • Author(s)
      S. Koike, et. al.
    • Journal Title

      Discrete and Continuous Dynamical Systems, Series B 8

      Pages: 261-277

    • Description
      「研究成果報告書概要(和文)」より
    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-16340025
  • [Journal Article] On the realisation of a map of some class as a desingularisation map2007

    • Author(s)
      K.Bekka, T.Fukui, S.Koike
    • Journal Title

      Real and complex singularities, Proceedings of the Australian-Japanese workshop, Worlk Scientific

      Pages: 33-45

    • Data Source
      KAKENHI-PROJECT-15340017
  • [Journal Article] A linear-quadratic control problem with discretionary stopping2007

    • Author(s)
      S. Koike, H. Morimoto and S. Sakaguchi
    • Journal Title

      Discrete and Continuous Dyna-mical System Series B 8(2)

      Pages: 261-277

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-16340032
  • [Journal Article] A linear-quadratic control problem with discretionlary stopping2007

    • Author(s)
      S.Koike, H.Morimpto, S.Sakaguchi
    • Journal Title

      Discrete and Continuous Dynamical Systems, Series B 8(2)

      Pages: 261-277

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18204009
  • [Journal Article] Maximum principle for fully nonlinear equations via the iterated comparison function method2007

    • Author(s)
      S. Koike, et. al.
    • Journal Title

      Mathematische Annalen 339.

      Pages: 461-484

    • NAID

      120006385615

    • Description
      「研究成果報告書概要(和文)」より
    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-16340025
  • [Journal Article] A linear quadratic control problem with discretionary stopping2007

    • Author(s)
      S. Koike, H. Morimoto & S. Sakaguchi
    • Journal Title

      Discrete and Contin. Dyn. Syst. Ser. B 8

      Pages: 261-277

    • Description
      「研究成果報告書概要(和文)」より
    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-17540188
  • [Journal Article] Maximum principle for fully nonlinear equations via the iterated comparison function method2007

    • Author(s)
      S. Koike,.
    • Journal Title

      Mathematische Annalen 339

      Pages: 461-484

    • NAID

      120006385615

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-16340025
  • [Journal Article] A linear-quadratic control problem with discretionary stopping2007

    • Author(s)
      S. Koike, H. Morimoto & S. Sakaguchi
    • Journal Title

      Discrete and Continuous Dynamical Systems, Series B 8(2)

      Pages: 251-277

    • Description
      「研究成果報告書概要(和文)」より
    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-16340032
  • [Journal Article] Maximum principle for fully nonlinear equations via the iterated comparison function method2007

    • Author(s)
      S. Koike & A. Swiech
    • Journal Title

      Mathematische Annalen 339

      Pages: 461-484

    • NAID

      120006385615

    • Description
      「研究成果報告書概要(和文)」より
    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-16340032
  • [Journal Article] On the realisation of a map of some class as a desingularisation map2007

    • Author(s)
      K.Bekka, T.Fukui, S.Koike
    • Journal Title

      Proceedings of the Australian-Japanese workshp

      Pages: 33-45

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-15340017
  • [Journal Article] Perron-Ishii method for viscosity solutions2007

    • Author(s)
      小池茂昭
    • Journal Title

      数理解析研究所講究録 1553

      Pages: 44-58

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-16340032
  • [Journal Article] Maximum Principie via the iterated comparison function method2007

    • Author(s)
      S.Koike
    • Journal Title

      微分方程式の粘性解理論とその発展, 数理解析研究所講究録 1545

      Pages: 1-12

    • Data Source
      KAKENHI-PROJECT-18204009
  • [Journal Article] A linear-quadratic control problem with discretionary stopping,2007

    • Author(s)
      S. Koike,.
    • Journal Title

      Discrete and Continuous Dynamical Systems, Series B 8

      Pages: 261-277

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-16340025
  • [Journal Article] Maximum principle for fully nonlinear equations via the iterated comparison function method2007

    • Author(s)
      S.Koike, A.Swiech
    • Journal Title

      Math.Ann. 339

      Pages: 461-484

    • NAID

      120006385615

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18204009
  • [Journal Article] Maximum principle for fully nonlinear equations via the iterated comparison function method2007

    • Author(s)
      S., Koike, et. al.
    • Journal Title

      Mathematische Annalen 339

      Pages: 461-484

    • NAID

      120006385615

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-16340025
  • [Journal Article] Maximum principle for fully nonlinear equations via the iterated comparison function method2007

    • Author(s)
      小池茂昭、Andrej Swiech
    • Journal Title

      Math. Ann. 339巻

      Pages: 461-484

    • NAID

      120006385615

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18204009
  • [Journal Article] Maximum principle for fully nonlinear quations via the iterated comparison function method2007

    • Author(s)
      Shigeaki. KOIKE and A. Swiech
    • Journal Title

      Math, Ann 339

      Pages: 461-484

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18540013
  • [Journal Article] Maximum principle for fully nonlinear equations via the iterated comparison function method2007

    • Author(s)
      S. Koike & A.Swiech
    • Journal Title

      Mathematische Annalen 339

      Pages: 461-484

    • NAID

      120006385615

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-16340032
  • [Journal Article] Maximum principle for fully nonlinear equations via the iterated comparison function method2007

    • Author(s)
      S. Koike and A. Swiech
    • Journal Title

      Mathematische Annalen 339

      Pages: 461-484

    • NAID

      120006385615

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-16340032
  • [Journal Article] Maximum principle for fuly nonlinear equations via the comparison function method2007

    • Author(s)
      S. Koike & A. Swiech
    • Journal Title

      Math. Ann 339

      Pages: 461-484

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-17540188
  • [Journal Article] 数理ファイナンスに現れる偏微分方程式2007

    • Author(s)
      S.koike
    • Journal Title

      これからの非線型偏微分方程式, 日本評論社(小薗英雄編)

      Pages: 151-168

    • Data Source
      KAKENHI-PROJECT-18204009
  • [Journal Article] Perron-Ishii method for viscosity solutions2007

    • Author(s)
      S.Koike
    • Journal Title

      ポテンシャル論とその関連分野, 数理解析研究所講究録 1553

      Pages: 44-58

    • Data Source
      KAKENHI-PROJECT-18204009
  • [Journal Article] A linear-quadratic control problem with discretionary stopping2007

    • Author(s)
      S. Koike, H. Mbrimoto & S. Sakaguchi
    • Journal Title

      Discrete and Continuous Dynamical Systems, Series B 8(2)

      Pages: 261-277

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-16340032
  • [Journal Article] Maximum principle for fully nonlinear equations via the comparison function method2007

    • Author(s)
      S. Koike & A. Swiech
    • Journal Title

      Math. Ann. 339

      Pages: 461-484

    • Description
      「研究成果報告書概要(和文)」より
    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-17540188
  • [Journal Article] A linear-quadratic control problem with discretionary stopping2007

    • Author(s)
      S. Koike, H. Morimoto & S. Sakaguchi
    • Journal Title

      Discrete and Contin. Dyn. Syst. Ser. B 8

      Pages: 261-277

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-17540188
  • [Journal Article] On the realization of a map of some class as a desingularization map2007

    • Author(s)
      K.Bekka, T.Fukui, S.Koike
    • Journal Title

      Proceedings of the Australian-Japanese workshop World Scientific

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-15340017
  • [Journal Article] Perron's method for L^P-viscosity solutions.2006

    • Author(s)
      S.Koike
    • Journal Title

      Saitama Math.J. 23

      Pages: 9-28

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-15340051
  • [Journal Article] Perron's method for Lp-viscosity solutions2006

    • Author(s)
      S.Koike
    • Journal Title

      Saitama Math. J. 23

      Pages: 9-28

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-15340051
  • [Journal Article] Optimal consumption and portfolio choice with stopping2005

    • Author(s)
      S.Koike, H.Morimoto
    • Journal Title

      Funkcial. Ekvac. 48

      Pages: 183-202

    • NAID

      130000141285

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-15340051
  • [Journal Article] 粘性解による値関数の特徴づけ2005

    • Author(s)
      小池茂昭, 儀我美一
    • Journal Title

      システム/制御/情報(システム制御情報学会) 49

      Pages: 2-7

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-15540195
  • [Journal Article] 粘性解による値関数の特徴付け2005

    • Author(s)
      儀我美一・小池茂昭
    • Journal Title

      システム/制御/情報 49(1)

      Pages: 2-7

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-16340032
  • [Journal Article] Perron's method-revisited-2005

    • Author(s)
      S. Koike
    • Journal Title

      数理解析研究所 1428

      Pages: 1-8

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-16340032
  • [Journal Article] Characterization of value-functions by viscosity solutions(in Japanese)2005

    • Author(s)
      S.Koike, Y.Giga
    • Journal Title

      System/Control/Information 49(1)

      Pages: 2-7

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-15540195
  • [Journal Article] Optimal consumption and choice with stopping2005

    • Author(s)
      S.Koike, et al.
    • Journal Title

      Funkcialaj Ekvacioj 48

      Pages: 183-202

    • Data Source
      KAKENHI-PROJECT-16340025
  • [Journal Article] Optimal consumption and portfolio choice with stopping2005

    • Author(s)
      S. Koike & H. Morimoto
    • Journal Title

      Funkcialaj Ekvacioj 48

      Pages: 183-202

    • NAID

      130000141285

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-17540188
  • [Journal Article] Optimal consumption and portfolio choice with stopping2005

    • Author(s)
      S., Koike, et. al.
    • Journal Title

      Funkcialaj Ekvacioj 48

      Pages: 183-202

    • NAID

      130000141285

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-16340025
  • [Journal Article] Optimal consumption and portfolio choice with stopping2005

    • Author(s)
      S. Koike & H. Moromoto
    • Journal Title

      Funkcialaj Ekvacioj 48

      Pages: 183-202

    • NAID

      130000141285

    • Description
      「研究成果報告書概要(和文)」より
    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-17540188
  • [Journal Article] Optimal consumption and portfolio choice with stopping2005

    • Author(s)
      S.Koike, H.Moromoto
    • Journal Title

      Funkcialaj Ekvacioj 48・2

      Pages: 183-202

    • NAID

      130000141285

    • Data Source
      KAKENHI-PROJECT-17540188
  • [Journal Article] Perron's method for $L^p$-viscosity solutions2005

    • Author(s)
      S. Koike
    • Journal Title

      Saitama Math. J. 23

      Pages: 9-28

    • Description
      「研究成果報告書概要(和文)」より
    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-17540188
  • [Journal Article] Perron's method for Lp-viscosity solutions2005

    • Author(s)
      S. Koike
    • Journal Title

      Saitama Mathematical Journal 23

      Pages: 9-28

    • Description
      「研究成果報告書概要(和文)」より
    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-16340032
  • [Journal Article] Optimal consumption and portfolio choice with stopping2005

    • Author(s)
      S. Koike, et. al.
    • Journal Title

      Funkcialaj Ekvacioj 48

      Pages: 183-202

    • NAID

      130000141285

    • Description
      「研究成果報告書概要(和文)」より
    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-16340025
  • [Journal Article] Perron's method -revisited-2005

    • Author(s)
      S.Koike
    • Journal Title

      数理解析研究所講究録 1428

      Pages: 1-8

    • Data Source
      KAKENHI-PROJECT-15340051
  • [Journal Article] Optimal consumption and portfolio choice with stopping2005

    • Author(s)
      S.Koike, H.Morimoto
    • Journal Title

      Funkcialaj Ekvacioj 48

      Pages: 183-202

    • NAID

      130000141285

    • Data Source
      KAKENHI-PROJECT-16340032
  • [Journal Article] 粘性解による値関数の特徴づけ2005

    • Author(s)
      儀我美一, 小池茂昭
    • Journal Title

      システム/制御/情報(システム制御情報学会) 49・1

      Pages: 2-7

    • Data Source
      KAKENHI-PROJECT-16340032
  • [Journal Article] Optimal consumption and portfolio choice with stopping2005

    • Author(s)
      S. Koike and H. Mortmoto
    • Journal Title

      Funkcialaj Ekvacioj 48

      Pages: 183-202

    • NAID

      130000141285

    • Description
      「研究成果報告書概要(和文)」より
    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-16340032
  • [Journal Article] Optimal consumption and portfolio choice with stopping2005

    • Author(s)
      S.Koike, H.Morimoto
    • Journal Title

      Funkcial.Ekvac. 48巻2号

      Pages: 183-202

    • NAID

      130000141285

    • Data Source
      KAKENHI-PROJECT-15340051
  • [Journal Article] 粘性解による値関数の特徴づけ2005

    • Author(s)
      儀我美一, 小池茂昭
    • Journal Title

      システム/制御/情報 49・1

      Pages: 2-7

    • Data Source
      KAKENHI-PROJECT-16340032
  • [Journal Article] 粘性解による値関数の特徴づけ2005

    • Author(s)
      小池茂昭, 儀我美一
    • Journal Title

      システム/制御/情報(システム制御情報学会) 49・1

      Pages: 2-7

    • Data Source
      KAKENHI-PROJECT-15540195
  • [Journal Article] Perron's method -revisited-2005

    • Author(s)
      S.Koike
    • Journal Title

      「微分方程式の粘性解理論とその発展」数理解析研究所講究録 未定

      Pages: 1-8

    • Data Source
      KAKENHI-PROJECT-16340032
  • [Journal Article] Optimal consumption and portfolis choice with stopping2005

    • Author(s)
      S.Koike, H.Morimoto
    • Journal Title

      Funkcialaj Ekvacioj 48

      Pages: 183-202

    • Data Source
      KAKENHI-PROJECT-16540003
  • [Journal Article] Perron's method for L^p-viscosity solutions2005

    • Author(s)
      S. Koike
    • Journal Title

      Saitama Math. J. 23

      Pages: 9-28

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-17540188
  • [Journal Article] Optimal consumption and portfolio choice with stopping.2005

    • Author(s)
      S.Koike, H.Morimoto
    • Journal Title

      Funkcial.Ekvac. 48, no.2

      Pages: 183-202

    • NAID

      130000141285

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-15340051
  • [Journal Article] Optimal consumption and portfolio choice with stopping2005

    • Author(s)
      S. Koike and H. Morimoto
    • Journal Title

      Funkcialaj Ekvacioj 48

      Pages: 183-202

    • NAID

      130000141285

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-16340032
  • [Journal Article] Perron' s method -revisited-2005

    • Author(s)
      S.Koike
    • Journal Title

      Surikaisekikenkyusho Kokyuroku 1428

      Pages: 1-8

    • Data Source
      KAKENHI-PROJECT-16340032
  • [Journal Article] Maximum Principle and existence of Lp-viscosity solutions for fully nonlinear uniformly elliptic equations with measurable and quadratic terms2004

    • Author(s)
      S. Koike & A. Swiech
    • Journal Title

      Nonlinear Differential Equations Applications 11(4)

      Pages: 491-509

    • Description
      「研究成果報告書概要(和文)」より
    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-16340032
  • [Journal Article] Maximum principle and existence of L^P-viscosity solutions for fully non-linear, uniformly elliptic equations with measurable and quadratic terms2004

    • Author(s)
      S.Koike, A.Swiech
    • Journal Title

      Nonlinear Differential Equations and Applications 11・4

      Pages: 491-509

    • Data Source
      KAKENHI-PROJECT-16340032
  • [Journal Article] Maximum principle and existence of Lp-viscosity solutions for fully nonlinear uniformly elliptic equations with measurable and quadratic terms2004

    • Author(s)
      S.Koike, A.Swiech
    • Journal Title

      NoDEA Nonlinear Differential Equations Appl. 11

      Pages: 491-509

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-15340051
  • [Journal Article] Maximum principle and existence of L^P-viscosity solutions for fully nonlinear uniformly elliptic equations with measurable and quadratic terms.2004

    • Author(s)
      S.Koike, A.Switch
    • Journal Title

      NoDEA Nonlinear Differential Equations Appl. 11, no.4

      Pages: 491-509

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-15340051
  • [Journal Article] Maximum principle and existence of Lp-viscosity solutions for fully nonlinear uniformly elliptic equations with measurable and quadratic terms2004

    • Author(s)
      S. Koike and A. Swiech
    • Journal Title

      Nonlinear Differential Equations Applications 11(4)

      Pages: 491-509

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-16340032
  • [Journal Article] Maximum principle and existence of L^P-viscosity solutions for fully non-linear, uniformly elliptic equations with measurable and quadratic terms2004

    • Author(s)
      S.Koike, A.Swiech
    • Journal Title

      Nonlinear Differential Equations and Applications 11・4

      Pages: 491-509

    • Data Source
      KAKENHI-PROJECT-15540195
  • [Journal Article] Maximum principle and existence of L^p-viscosity solutions for fully nonlinear, uniformly elliptic equations with measurable and quadratic terms2004

    • Author(s)
      S.Koike, A.Swicech
    • Journal Title

      Nonlinear Differential Equations and Applications 11

      Pages: 491-509

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-15540195
  • [Journal Article] Maximum principle and existence of L^p-viscosity solutions for fully nonlinear, uniformly elliptic equations with measurable and quadratic terms2004

    • Author(s)
      S.Koike, A.Swiech
    • Journal Title

      Nonlinear Differential Equations and Applications 11(4)

      Pages: 491-509

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-15540195
  • [Journal Article] Finiteness theorems on blow-Nash triviality for real algebraic singularities2004

    • Author(s)
      S.Koike
    • Journal Title

      Banach Center Publications 65

      Pages: 135-149

    • Data Source
      KAKENHI-PROJECT-15340017
  • [Journal Article] Maximum principle and existence of 51./14-viscosity solutions for fully nonlinear, uniformly elliptic equations with measurable and quadratic terms2004

    • Author(s)
      S., Koike, et. al.
    • Journal Title

      Nonlinear Differential Equations and Applications 11-4

      Pages: 491-509

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-16340025
  • [Journal Article] A Beginner's Guide to the Theory of Viscosity Solutions2004

    • Author(s)
      S. Koike
    • Journal Title

      MSJ Memoir, 13, Mathematical Society of Japan

      Pages: 123-123

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-16340032
  • [Journal Article] Maximum principle and existence of $L^p$-viscosity solutions for fully nonlinear, uniformly elliptic equations with measurable and quadratic terms2004

    • Author(s)
      S.Koike, A.Swiech
    • Journal Title

      Nonlinear Differential Equations and Applications 11/4

      Pages: 491-509

    • Data Source
      KAKENHI-PROJECT-16340025
  • [Journal Article] Maximum principle and existence of $L^p$-viscosity solutions for fully nonlinear, uniformly elliptic equations with measurable and quadratic terms2004

    • Author(s)
      S. Koike, et. al.
    • Journal Title

      Nonlinear Differential Equations and Applications 11

      Pages: 491-509

    • Description
      「研究成果報告書概要(和文)」より
    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-16340025
  • [Journal Article] Variational inequalities for leavable bounded-velocity control2003

    • Author(s)
      S.Koike, H.Moromoto
    • Journal Title

      Appl.Math.Optim. 48・1

      Pages: 1-20

    • Data Source
      KAKENHI-PROJECT-15540195
  • [Journal Article] Variational inequalities for leavable bounded-velocity control2003

    • Author(s)
      S.Koike, H.Morimoto
    • Journal Title

      Appl. Math. Optim. 48

      Pages: 1-20

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-15340051
  • [Journal Article] Variational inequalities for leavable bounded-velocity control2003

    • Author(s)
      S.Koike, H.Morimoto
    • Journal Title

      Applied Mathematics and Optimizations 48

      Pages: 1-20

    • Data Source
      KAKENHI-PROJECT-16340032
  • [Journal Article] Variational inequalities for leavable bounded-velocity control2003

    • Author(s)
      S.Koike, H.Moromoto
    • Journal Title

      Appl.Math.Optim. 48(1)

      Pages: 1-20

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-15540195
  • [Journal Article] Variational inequalities for leavable bounded-velocity control.2003

    • Author(s)
      S.Koike, H.Morimoto
    • Journal Title

      Appl.Math.Optim. 48, no.1

      Pages: 1-20

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-15340051
  • [Journal Article] Variational inequalities for leavable bounded-velocity control2003

    • Author(s)
      S.Koike, H.Moromoto
    • Journal Title

      Appl.Math.Optim. 48

      Pages: 1-20

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-15540195
  • [Journal Article] Maximum principle for fully nonlinear equations via iterated comparison function method

    • Author(s)
      S, Koike, A, Swiech
    • Journal Title

      Mathematische Annalen (掲載決定)

    • NAID

      120006385615

    • Data Source
      KAKENHI-PROJECT-16340032
  • [Journal Article] Optimal consumption and portfolio choice with stopping

    • Author(s)
      S.Koike, H.Morimoto
    • Journal Title

      Funkcialaj Ekvacioj 未定

    • NAID

      130000141285

    • Data Source
      KAKENHI-PROJECT-16340032
  • [Journal Article] A linear-quadratic control problem with discretionary stopping

    • Author(s)
      S.Koike, H.Morimoto, S.Sakaguchi
    • Journal Title

      Discrete Contin Dyn. Syst. Ser. B (掲載決定)

    • Data Source
      KAKENHI-PROJECT-17540188
  • [Journal Article] Maximum principle for fully nonlinear equations via the comparison function method

    • Author(s)
      S.Koike, A.S wie ch
    • Journal Title

      Math. Ann. (掲載決定)

    • Data Source
      KAKENHI-PROJECT-17540188
  • [Journal Article] A Linear-quadratic control problem with discretionary stopping

    • Author(s)
      S.Koike, H.Morimoto, S.Sakaguchi
    • Journal Title

      Discrete and Continuous Dynamical Systems, Series B. (掲載決定)

    • Data Source
      KAKENHI-PROJECT-16340032
  • [Presentation] Lp viscosity solution theory -revisited-2019

    • Author(s)
      Shigeaki Koike
    • Organizer
      The 20th Northeastern Symposium on Mathematical Analysis
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-16H03946
  • [Presentation] ABP最大値原理 再訪2019

    • Author(s)
      小池茂昭
    • Organizer
      九州関数方程式セミナー
    • Invited
    • Data Source
      KAKENHI-PROJECT-16H03946
  • [Presentation] Recent development on Lp viscosity solutions for fully nonlinear parabolic PDE2018

    • Author(s)
      Shigeaki Koike
    • Organizer
      第35回九州における偏微分方程式研究集会
    • Invited
    • Data Source
      KAKENHI-PROJECT-16H03946
  • [Presentation] Obstacle problems for PDE of non-divergence type2018

    • Author(s)
      小池 茂昭
    • Organizer
      研究集会「第14回 非線型の諸問題」
    • Invited
    • Data Source
      KAKENHI-PROJECT-16H03946
  • [Presentation] 粘性解のABP最大値原理とその応用2017

    • Author(s)
      小池茂昭
    • Organizer
      日本数学会2017年度年会
    • Place of Presentation
      首都大学東京
    • Year and Date
      2017-03-24
    • Invited
    • Data Source
      KAKENHI-PROJECT-23340028
  • [Presentation] On the rate of convergence in free boundary problems2017

    • Author(s)
      Shigeaki Koike
    • Organizer
      The 5th Italian-Japanese Workshop on Geometric Properties for Parabolic and Elliptic PDE's
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-16H03946
  • [Presentation] Fully nonlinear uniformly elliptic/parabolic PDE with unbounded ingredients2016

    • Author(s)
      Shigeaki Koike
    • Organizer
      Hamilton-Jacobi Equations New trends and applications
    • Place of Presentation
      Rennes大学
    • Year and Date
      2016-05-30
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-23340028
  • [Presentation] ABP 最大値原理について2016

    • Author(s)
      小池茂昭
    • Organizer
      日本数学会年会(企画特別講演)
    • Place of Presentation
      筑波大学(茨城県つくば市)
    • Year and Date
      2016-03-19
    • Invited
    • Data Source
      KAKENHI-PROJECT-23244015
  • [Presentation] Holder continuity for subsolutions of integro-differential equations2015

    • Author(s)
      Shigeaki Koike
    • Organizer
      偏微分方程式の漸近問題と粘性解
    • Place of Presentation
      京都大学数理解析研究所(京都府京都市)
    • Year and Date
      2015-12-04
    • Invited
    • Data Source
      KAKENHI-PROJECT-23244015
  • [Presentation] A note on comparison principle for quasilinear equations2014

    • Author(s)
      S. Koike
    • Organizer
      AIMS Conference on Dynamical Systems, Differential Equations and Applications
    • Place of Presentation
      Madrid, Spain
    • Year and Date
      2014-07-08
    • Invited
    • Data Source
      KAKENHI-PROJECT-23340028
  • [Presentation] 微分積分方程式の解のヘルダー連続性2014

    • Author(s)
      小池茂昭
    • Organizer
      北九州地区における偏微分方程式研究集会
    • Place of Presentation
      小倉
    • Year and Date
      2014-11-29
    • Invited
    • Data Source
      KAKENHI-PROJECT-23340028
  • [Presentation] ABP maximum principle for fully nonlinear elliptic PDE with unbounded ingredients2014

    • Author(s)
      S. Koike
    • Organizer
      Colloquium
    • Place of Presentation
      復旦大学、中国
    • Year and Date
      2014-12-08
    • Invited
    • Data Source
      KAKENHI-PROJECT-23340028
  • [Presentation] On the ABP maximum principle for viscosity solutions2011

    • Author(s)
      Shigeaki Koike
    • Organizer
      広島微分方程式研究会
    • Place of Presentation
      広島大学(東広島)(招待講演)
    • Year and Date
      2011-10-07
    • Data Source
      KAKENHI-PROJECT-23244015
  • [Presentation] On viscosity solutions of fully nonlinear elliptic PDE with measurable and unbounded ingredients2011

    • Author(s)
      小池茂昭
    • Organizer
      Nonlinear PDE's, Valparaiso
    • Place of Presentation
      Valparaiso(チリ)
    • Year and Date
      2011-01-14
    • Data Source
      KAKENHI-PROJECT-20340026
  • [Presentation] On the ABP maximum principle for viscosity solutions2011

    • Author(s)
      小池 茂昭
    • Organizer
      広島微分方程式研究会
    • Place of Presentation
      広島大学
    • Invited
    • Data Source
      KAKENHI-PROJECT-23340028
  • [Presentation] Lp粘性解のABP最大値原理とその応用2011

    • Author(s)
      小池 茂昭
    • Organizer
      応用解析研究会
    • Place of Presentation
      早稲田大学
    • Invited
    • Data Source
      KAKENHI-PROJECT-23340028
  • [Presentation] On the ABP maxinmum principle and applications2011

    • Author(s)
      Shigeaki Koike
    • Organizer
      幾何学的偏微分方程式における保存則と正則性の研究
    • Place of Presentation
      京都大学数理解析研究所(京都)(招待講演)
    • Year and Date
      2011-06-09
    • Data Source
      KAKENHI-PROJECT-23244015
  • [Presentation] On the ABP maximum principle for $L^p$-viscosity solutions of fully nonlinear PDE2011

    • Author(s)
      S. Koike
    • Organizer
      Nonlinear Dynamics and PDE
    • Place of Presentation
      九州大学
    • Invited
    • Data Source
      KAKENHI-PROJECT-20340019
  • [Presentation] On the ABP maximum principle for Lp-viscosity solutions of fully nonlinear PDE2011

    • Author(s)
      小池 茂昭
    • Organizer
      The 4th MSJ-SI Nonlinear Dynamics and PDE国際研究集会
    • Place of Presentation
      九州大学
    • Invited
    • Data Source
      KAKENHI-PROJECT-23340028
  • [Presentation] On viscosity solutions of fully nonlinear elliptic PDE with measurable and unbounded ingredients2011

    • Author(s)
      小池茂昭
    • Organizer
      Nonlinear PDE's, Valparaiso
    • Place of Presentation
      Chile
    • Year and Date
      2011-01-14
    • Data Source
      KAKENHI-PROJECT-20340026
  • [Presentation] On viscosity solutions of fully nonlinear elliptic PDE with measurable and unbounded ingredients2011

    • Author(s)
      S.Koike
    • Organizer
      Nonlinear PDEs
    • Place of Presentation
      Valparaiso・Chile
    • Year and Date
      2011-01-14
    • Data Source
      KAKENHI-PROJECT-20340019
  • [Presentation] On viscosity solutions of fully nonlinear elliptic PDE with measurable and unbounded ingredients2011

    • Author(s)
      S.Koike
    • Organizer
      Nonlinear PDE's
    • Place of Presentation
      Valparaiso, Chile(招待講演)
    • Year and Date
      2011-01-14
    • Data Source
      KAKENHI-PROJECT-20340019
  • [Presentation] On viscosity solutions of fully nonlinear elliptic PDE with measurable and unbounded ingredients2011

    • Author(s)
      S.Koike
    • Organizer
      Nonlinear PDE's
    • Place of Presentation
      Valparaiso, Chile
    • Year and Date
      2011-01-14
    • Data Source
      KAKENHI-PROJECT-20340019
  • [Presentation] On the ABP maximum principle and applications2011

    • Author(s)
      小池 茂昭
    • Organizer
      幾何学的偏微分方程式における保存則と正則性の研究
    • Place of Presentation
      数理解析研究所
    • Invited
    • Data Source
      KAKENHI-PROJECT-23340028
  • [Presentation] On viscosity solutions of fully nonlinear elliptic PDE with measurable and unbounded ingredients2011

    • Author(s)
      小池茂昭
    • Place of Presentation
      Nonlinear PDE's, Valparaiso (Chile)
    • Year and Date
      2011-01-14
    • Data Source
      KAKENHI-PROJECT-20340026
  • [Presentation] On the ABP maximum principie for Lp-viscosity solutions of fully nonlinear PDE2011

    • Author(s)
      Shigeaki Koike
    • Organizer
      Nonlinear Dynamics and PDE国際研究集会
    • Place of Presentation
      九州大学(博多)(招待講演)
    • Year and Date
      2011-09-15
    • Data Source
      KAKENHI-PROJECT-23244015
  • [Presentation] 完全非線形楕円型偏微分方程式のLp粘性解について2010

    • Author(s)
      小池茂昭
    • Organizer
      研究集会
    • Place of Presentation
      京都大学
    • Data Source
      KAKENHI-PROJECT-20340026
  • [Presentation] 完全非線形楕円型偏微分方程式のLp粘性解について2010

    • Author(s)
      小池茂昭
    • Organizer
      研究集会「微分方程式の総合的研究」
    • Place of Presentation
      京都大学
    • Data Source
      KAKENHI-PROJECT-20340026
  • [Presentation] 完全非線形楕円型偏微分方程式のLp粘性解について2010

    • Author(s)
      小池茂昭
    • Organizer
      研究集会「微分方程式の総合的研究
    • Place of Presentation
      京都大学
    • Data Source
      KAKENHI-PROJECT-20340026
  • [Presentation] Weak Harnack inequality for fully nonlinear PDEs with unbounded ingredients2010

    • Author(s)
      小池茂昭
    • Organizer
      Positivity : A key to fully nonlinear equations Conference
    • Place of Presentation
      Salerno (Italy)
    • Year and Date
      2010-06-02
    • Data Source
      KAKENHI-PROJECT-20340026
  • [Presentation] On the weak Harnack inequality for fully nonlinear PDEs with unbounded ingredients2010

    • Author(s)
      小池茂昭
    • Organizer
      研究集会"Viscosity methods and nonlinear PDE"
    • Place of Presentation
      北海道大学
    • Year and Date
      2010-07-21
    • Data Source
      KAKENHI-PROJECT-20340026
  • [Presentation] Lp粘性解の最近の進展について2010

    • Author(s)
      小池茂昭
    • Organizer
      第8回浜松偏微分方程式研究集会
    • Place of Presentation
      静岡大学工学部
    • Year and Date
      2010-02-21
    • Data Source
      KAKENHI-PROJECT-20340026
  • [Presentation] On the weak Harnack inequality for fully nonlinear PDEs with unbounded ingredients2010

    • Author(s)
      小池茂昭
    • Organizer
      研究集会
    • Place of Presentation
      北海道大学
    • Year and Date
      2010-07-21
    • Data Source
      KAKENHI-PROJECT-20340026
  • [Presentation] 完全非線形楕円型偏微分方程式の$L^p$粘性解について1・22010

    • Author(s)
      小池茂昭
    • Organizer
      研究集会「微分方程式の総合的研究」
    • Place of Presentation
      京都大学(招待講演)
    • Data Source
      KAKENHI-PROJECT-20340019
  • [Presentation] Weak Harnack inequality for fully nonlinear PDFs with unbounded ingredients2010

    • Author(s)
      小池茂昭
    • Organizer
      Positivity : A key to fully nonlinear equations Conference
    • Place of Presentation
      Salerno(イタリア)
    • Year and Date
      2010-06-02
    • Data Source
      KAKENHI-PROJECT-20340026
  • [Presentation] Weak Harnack inequality for fully nonlinear PDEs with unbounded ingredients2010

    • Author(s)
      S. Koike
    • Organizer
      Positivity: A key to fully nonlinear equations Conference
    • Place of Presentation
      サレルノ, イタリア
    • Year and Date
      2010-06-02
    • Data Source
      KAKENHI-PROJECT-20340019
  • [Presentation] Weak Harnack inequality for fully nonlinear PDEs with unbounded ingredients2010

    • Author(s)
      S.Koike
    • Organizer
      Positivity : A key to fully nonlinear equations Conference
    • Place of Presentation
      サレルノ,イタリア(招待講演)
    • Year and Date
      2010-06-02
    • Data Source
      KAKENHI-PROJECT-20340019
  • [Presentation] Lp粘性解の最近の進展について2010

    • Author(s)
      小池茂昭
    • Organizer
      第8回浜松偏微分方程式研究集会
    • Place of Presentation
      静岡大学
    • Year and Date
      2010-12-21
    • Data Source
      KAKENHI-PROJECT-20340026
  • [Presentation] On the weak Hamack inequality for fully nonlinear PDEs with unbounded ingredients2010

    • Author(s)
      小池茂昭
    • Organizer
      研究集会"Viscosity methods and nonlinear PDE"
    • Place of Presentation
      北海道大学
    • Year and Date
      2010-07-21
    • Data Source
      KAKENHI-PROJECT-20340026
  • [Presentation] Weak Harnack inequality for fully nonlinear PDEs with unbounded ingredients2010

    • Author(s)
      小池茂昭
    • Organizer
      Positivity : A key to fully nonlinear equations Conference
    • Place of Presentation
      Salerno(Italy)
    • Year and Date
      2010-06-02
    • Data Source
      KAKENHI-PROJECT-20340026
  • [Presentation] Weak Harnack inequality for Lp-viscosity solutions of fully nonlinear PDEs with unbounded ingredients2009

    • Author(s)
      小池茂昭
    • Organizer
      The Second Chile-Japan Workshop on Elliptic and Parabolic Equations
    • Place of Presentation
      明治大学
    • Year and Date
      2009-12-02
    • Data Source
      KAKENHI-PROJECT-20340026
  • [Presentation] Weak Harnack inequality for Lp-viscosity solutions of fully nonlinear PDEs with unbounded ingredients2009

    • Author(s)
      小池茂昭
    • Organizer
      The Second Chile-Japan Workshop on Elliptic and Parabolic Equations
    • Place of Presentation
      明治大学
    • Year and Date
      2009-12-01
    • Data Source
      KAKENHI-PROJECT-18204009
  • [Presentation] Weak Harnack inequality for fully nonlinear PDEs with superlinear growth terms in Du2009

    • Author(s)
      S.Koike
    • Organizer
      微分方程式の粘性解とその周辺
    • Place of Presentation
      京都大学数理解析研究所
    • Data Source
      KAKENHI-PROJECT-20340026
  • [Presentation] Comparison principle for fully nonlinear PDEs having |Du|^2 with variable coefficients2009

    • Author(s)
      S. Koike
    • Organizer
      解析ゼミ
    • Place of Presentation
      埼玉大学
    • Year and Date
      2009-02-24
    • Data Source
      KAKENHI-PROJECT-18204009
  • [Presentation] Weak Harnack inequality for fully nonlinear PDEs with superlinear growth terms in Du2009

    • Author(s)
      S.Koike
    • Organizer
      微分方程式の粘性解とその周辺
    • Place of Presentation
      京都大学数理解析研究所
    • Year and Date
      2009-06-26
    • Data Source
      KAKENHI-PROJECT-18204009
  • [Presentation] Weak Harnack inequality for Lp-viscosity solutions of fully nonlinear elliptic PDEs with unbounded ingredients2009

    • Author(s)
      S.Koike
    • Organizer
      The Second International Conference of Reaction Diffusion Systems and Viscosity Solution
    • Place of Presentation
      Providence University(台湾)
    • Data Source
      KAKENHI-PROJECT-20340026
  • [Presentation] Weak Harnack inequality for Lp-viscosity solutions of fully nonlinear elliptic PDEs with unbounded ingredients2009

    • Author(s)
      小池茂昭
    • Organizer
      The Second International Conference of Reaction Diffusion Systems and Viscosity Solution
    • Place of Presentation
      Providence University (台湾)
    • Year and Date
      2009-07-18
    • Data Source
      KAKENHI-PROJECT-20340026
  • [Presentation] Weak Harnack inequality for fully nonlinear PDEs with superlinear growth terms in Du2009

    • Author(s)
      小池茂昭
    • Organizer
      研究集会
    • Place of Presentation
      京都大学数理解析研究所
    • Year and Date
      2009-06-26
    • Data Source
      KAKENHI-PROJECT-20340026
  • [Presentation] Weak Harnack inequality for Lp-viscosity solutions of fully nonlinear elliptic PDEs with unbounded ingredients2009

    • Author(s)
      S.Koike
    • Organizer
      The Second International Conference of Reaction Diffusion Systems and Viscosity Solution
    • Place of Presentation
      Providence University
    • Year and Date
      2009-07-17
    • Data Source
      KAKENHI-PROJECT-18204009
  • [Presentation] Weak Harnack inequality for Lp-viscosity solutions of fully nonlinear elliptic PDEs with unbounded ingredients2009

    • Author(s)
      小池茂昭
    • Organizer
      The Second International Conference of Reaction Diffusion Systems and Viscosity Solution.
    • Place of Presentation
      Providence University・台湾
    • Year and Date
      2009-07-18
    • Data Source
      KAKENHI-PROJECT-20340026
  • [Presentation] 非有界係数をもつ完全非線形方程式のL^p粘性解の弱Harnack不等式2008

    • Author(s)
      小池 茂昭
    • Organizer
      日本数学会
    • Place of Presentation
      近畿大学
    • Year and Date
      2008-03-26
    • Data Source
      KAKENHI-PROJECT-17540188
  • [Presentation] Recent developments on the ABP maximum principle for fully nonlinear eliptic PDEs2008

    • Author(s)
      小池茂昭
    • Organizer
      第4回非線型の諸問題
    • Place of Presentation
      佐賀大学
    • Year and Date
      2008-09-22
    • Data Source
      KAKENHI-PROJECT-20340026
  • [Presentation] 非有界係数をもつ完全非線形方程式のLp粘性解の弱Harnack不等式2008

    • Author(s)
      S. Koike
    • Organizer
      日本数学会年会
    • Place of Presentation
      近畿大学
    • Year and Date
      2008-03-26
    • Data Source
      KAKENHI-PROJECT-18204009
  • [Presentation] Recent developments on the ABP maximum principle for fully nonlinear eliptic PDEs2008

    • Author(s)
      S. Koike
    • Organizer
      第4回非線型の諸問題
    • Place of Presentation
      佐賀大学
    • Year and Date
      2008-09-22
    • Data Source
      KAKENHI-PROJECT-18204009
  • [Presentation] 非有界係数をもつ完全非線形方程式のLp粘性解の弱Harnack不等式2008

    • Author(s)
      小池 茂昭
    • Organizer
      日本数学会年会
    • Place of Presentation
      近畿大学
    • Year and Date
      2008-03-26
    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-16340032
  • [Presentation] 弱ハルナック不等式とその応用2008

    • Author(s)
      S. Koike
    • Organizer
      Mini-Workshop「KAM理論と粘性解」
    • Place of Presentation
      福岡大学
    • Year and Date
      2008-03-20
    • Data Source
      KAKENHI-PROJECT-18204009
  • [Presentation] 完全非線形方程式の粘性解の弱ハルナック不等式2008

    • Author(s)
      S. Koike
    • Organizer
      熊本大学偏微分方程式セミナー
    • Place of Presentation
      熊本大学
    • Year and Date
      2008-03-08
    • Data Source
      KAKENHI-PROJECT-18204009
  • [Presentation] A weak Harnack inequaity for Lp-viscosity solutions for a fully nonlinear equations with un-bounded coefficients2008

    • Author(s)
      S. Koike
    • Organizer
      Annual meeting of Japan Mathe-matical Society
    • Place of Presentation
      Kinki Univ
    • Year and Date
      2008-03-26
    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-17540188
  • [Presentation] 数理ファイナンスに現われる変分不等式2008

    • Author(s)
      小池茂昭
    • Organizer
      ファイナンスのための数理ワークショップ
    • Place of Presentation
      早稲田大学
    • Year and Date
      2008-04-25
    • Data Source
      KAKENHI-PROJECT-20340019
  • [Presentation] Weak Harnack inequality for fully nonlinear elliptic PDEs with unbounded coefficients2008

    • Author(s)
      S. Koike
    • Organizer
      非線形偏微分方程式とその応用
    • Place of Presentation
      神戸大学
    • Year and Date
      2008-01-10
    • Data Source
      KAKENHI-PROJECT-18204009
  • [Presentation] 弱ハルナック不等式とextremal方程式の強解の存在2008

    • Author(s)
      S. Koike
    • Organizer
      応用数学セミナー
    • Place of Presentation
      東北大学
    • Year and Date
      2008-06-05
    • Data Source
      KAKENHI-PROJECT-18204009
  • [Presentation] 非有界係数をもつ完全非線形方程式のL^P粘性解の弱Harnack不等式2008

    • Author(s)
      小池茂昭
    • Organizer
      日本数学会
    • Place of Presentation
      近畿大学
    • Year and Date
      2008-03-26
    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-17540188
  • [Presentation] 数理ファイナンスに現われる変分不等式2008

    • Author(s)
      S. Koike
    • Organizer
      ファイナンスのための数理ワークショップ
    • Place of Presentation
      早稲田大学
    • Year and Date
      2008-04-25
    • Data Source
      KAKENHI-PROJECT-18204009
  • [Presentation] 完全非線形方程式の粘性解の弱ハルナック不等式2008

    • Author(s)
      S. Koike
    • Organizer
      Sapporo Guest House Symposium on Mathematies, Final "Nonlinear Partial Differential Equations"
    • Place of Presentation
      天神山ゲストハウス
    • Year and Date
      2008-03-29
    • Data Source
      KAKENHI-PROJECT-18204009
  • [Presentation] The ABP maximum principle for fully nonlinear equations with unbounded coefficients2007

    • Author(s)
      S. Koike
    • Organizer
      Analysis seminar
    • Place of Presentation
      Univ.Texas,Austin
    • Year and Date
      2007-09-10
    • Data Source
      KAKENHI-PROJECT-18204009
  • [Presentation] Maximum principle and its applications for fully nonlinear PDEs2007

    • Author(s)
      S. Koike
    • Organizer
      Analysis seminar
    • Place of Presentation
      Univ.Roma II
    • Year and Date
      2007-10-09
    • Data Source
      KAKENHI-PROJECT-18204009
  • [Presentation] Maximum principle for Lp-viscosity solutions of fully nonlinear equations with unbounded coefficients2007

    • Author(s)
      S. Koike
    • Organizer
      International Conference of Re-action Diffusion Systems and Viscosity Solutions
    • Place of Presentation
      Providence University, Taiwan
    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-16340032
  • [Presentation] The maximum principle for fully nonlinear PDEs with unbounded coefficients2007

    • Author(s)
      S. Koike
    • Organizer
      Analysis seminar
    • Place of Presentation
      Univ. Roma I
    • Year and Date
      2007-10-01
    • Data Source
      KAKENHI-PROJECT-18204009
  • [Presentation] Maximum principle for Lp-viscosity solutions of fully nonlinear equations with unbounded coefficients2007

    • Author(s)
      S. Koike
    • Organizer
      International Conference of Reaction Diffusion Systems and Viscosity Solutions
    • Place of Presentation
      Providence University台湾
    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-16340032
  • [Presentation] 非有界係数をもつ完全非線形方程式の$L^p$粘性解の弱Harnack不等式2007

    • Author(s)
      小池 茂昭
    • Organizer
      日本数学会
    • Place of Presentation
      近畿大学
    • Year and Date
      2007-03-26
    • Data Source
      KAKENHI-PROJECT-16340032
  • [Presentation] Maximum principle for L^p-viscosity solutions of fully nonlinear equations with unbounded coefficients2007

    • Author(s)
      S., Koike
    • Organizer
      International Conference of Reaction Diffusion Systems and Viscosity Solutions
    • Place of Presentation
      Providence University, Taiwan
    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-16340025
  • [Presentation] Maximum principle for $L^p$-viscosity solutions of fully nonlinear equations with unbounded coefficients2007

    • Author(s)
      Shigeaki Koike
    • Organizer
      International Conference of Reaction Diffusion Systems and Viscosity Solutions
    • Place of Presentation
      Providence University, 台湾
    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-16340025
  • [Presentation] Maximum principle for fully nonlinear PDEs via the iterated comparison function method2006

    • Author(s)
      S. Koike
    • Organizer
      The Second International Work-shop on Variational Analysis and Partial Differential Equations
    • Place of Presentation
      Erice, Italy
    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-16340032
  • [Presentation] Maximum principle for Lp-viscosity solutionsof fully nonlinear elliptic/parabolic PDEs2006

    • Author(s)
      S. Koike
    • Organizer
      Italian-Japanese Meeting, Nonlinear Partial Differential Equations and Applications
    • Place of Presentation
      Cortona(Italy)
    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-16340032
  • [Presentation] Maximum principle for fully nonlinea PDEs via the iterated comparison function method2006

    • Author(s)
      S. Koike
    • Organizer
      The Second International Workshop on Variational Analysis and Partial Differential Equations
    • Place of Presentation
      Erice(Sicily, Italy).
    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-16340032
  • [Presentation] Maximum principle via the iterated comparison function method2006

    • Author(s)
      S. Koike
    • Organizer
      「微分方程式の粘性解理論とその展開」研究集会
    • Place of Presentation
      京都大学・数理解析研究所
    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-16340032
  • [Presentation] Perron-Ishii method for viscosity solutions2006

    • Author(s)
      S. Koike
    • Organizer
      Conference on Potential Theory and its Related Fields
    • Place of Presentation
      RIMS, Kyoto
    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-16340032
  • [Presentation] Maximum principle via the iterated comparison function method2006

    • Author(s)
      S. Koike
    • Organizer
      Conference on Viscosity Solution Theory of Differential Equations and its Developments
    • Place of Presentation
      RIMS, Kyoto
    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-16340032
  • [Presentation] Maximum principle for Lp-viscosity solutions of fully nonlinear elliptic/parabolic PDEs2006

    • Author(s)
      S. Koike
    • Organizer
      Italian-Japanese Meeting, Non-linear Partial Differential Equa-tions and Applications
    • Place of Presentation
      Cortona, Italy
    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-16340032
  • [Presentation] Perron-Ishii method for viscosity solutions2006

    • Author(s)
      S. Koike
    • Organizer
      「ポテンシャル論とその関連分野」研究集会
    • Place of Presentation
      京都大学・数理解析研究所
    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-16340032
  • [Presentation] Perron's method-revisited-2004

    • Author(s)
      S. Koike
    • Organizer
      「微分方程式の粘性解理論とその展開」研究集会
    • Place of Presentation
      京都大学・数理解析研究所
    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-16340032
  • [Presentation] Perron's method-revisited2004

    • Author(s)
      S. Koike
    • Organizer
      Conference on Viscosity Solution Theory of Differential Equations And its Developments
    • Place of Presentation
      RIMS Kyoto
    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-16340032
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  • 112.  小池 直之
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