KOIKE Shigeaki 小池茂昭

… Alternative Names

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
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
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 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 / 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 / 変分法 / 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 / 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 / 偏微分方程式 / 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 / 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

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 processesOngoing
- Principal Investigator
  
  赤木剛朗
- 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

[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] 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] 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] 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] 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] 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] 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] 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)
  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
[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] 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
- 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] 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
[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
[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] 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] 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] 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] 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] 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] 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] 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 and A. Swiech
- Journal Title
  
  Indiana University Mathematical Journal
  
  Volume: 未定
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-23340028
[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] 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] 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] 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 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] 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] 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] 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 Mathematical 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
- 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] 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, 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] 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
  
  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] 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] 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] 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] 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] 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] 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] 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 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 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] 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] 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] 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] 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] 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] 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 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] 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] 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] 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] 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] 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 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] 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] 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] 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] 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 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] 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] 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] 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] 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] 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 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] 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 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] 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] 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] 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 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] 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] 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, 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] 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] 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] 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] 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,.
- Journal Title
  
  Mathematische Annalen 339
  
  Pages: 461-484
- NAID
  120006385615
- 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
  
  Mathematische Annalen 339
  
  Pages: 461-484
- NAID
  120006385615
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-16340032
[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] 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] 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 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] 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] 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] 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] 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] 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] 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] 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, 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] 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] 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] 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] 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 -revisited-2005
- Author(s)
  S.Koike
- Journal Title
  
  Surikaisekikenkyusho Kokyuroku 1428
  
  Pages: 1-8
- Data Source
  KAKENHI-PROJECT-16340032
[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] 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] 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] 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.Moromoto
- Journal Title
  
  Funkcialaj Ekvacioj 48・2
  
  Pages: 183-202
- NAID
  130000141285
- 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(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 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] 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] 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] 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] 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] 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] 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] 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 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 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] 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 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 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 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 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] 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 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] 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 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] 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] 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 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(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 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
- Data Source
  KAKENHI-PROJECT-15540195
[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] 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
[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] 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 Contin Dyn. Syst. Ser. B (掲載決定)
- Data Source
  KAKENHI-PROJECT-17540188
[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] 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] 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] 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] 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] 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] 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] 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] 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 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 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 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 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] 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 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] 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] 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)
  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 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 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)
  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 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 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] 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] 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] 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] 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 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] 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] 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] 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$L^p$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] 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 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] 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] 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 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 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 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] 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)
  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
- 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)
  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 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 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] 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] 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] 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] 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] 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] 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] 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] 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] 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] 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] 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
- 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] 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] 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] 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 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 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] 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] 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] 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] 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] 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 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 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 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] 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'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
[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

1. ISHII Hitoshi (70102887)

# of Collaborated Projects: 17 results

# of Collaborated Products: 6 results
2. NAGI Hideo (70110848)

# of Collaborated Projects: 9 results

# of Collaborated Products: 0 results
3. ISHII Katsuyuki (40232227)

# of Collaborated Projects: 8 results

# of Collaborated Products: 7 results
4. NAGASAWA Takeyoki (70202223)

# of Collaborated Projects: 8 results

# of Collaborated Products: 0 results
5. SAKAI Fumio (40036596)

# of Collaborated Projects: 8 results

# of Collaborated Products: 0 results
6. MIKAMI Toshio (70229657)

# of Collaborated Projects: 8 results

# of Collaborated Products: 0 results
7. FUKUI Toshizumi (90218892)

# of Collaborated Projects: 7 results

# of Collaborated Products: 3 results
8. GIGA Yoshikazu (70144110)

# of Collaborated Projects: 7 results

# of Collaborated Products: 1 results
9. SAKURAI Tsutomu (40187084)

# of Collaborated Projects: 6 results

# of Collaborated Products: 0 results
10. SAKAMATO Kunio (70089829)

# of Collaborated Projects: 6 results

# of Collaborated Products: 0 results
11. MIZUTANI Tadayoshi (20080492)

# of Collaborated Projects: 5 results

# of Collaborated Products: 0 results
12. NAGASE Masayoshi (30175509)

# of Collaborated Projects: 5 results

# of Collaborated Products: 0 results
13. TSUJIOKA Kunio (30012412)

# of Collaborated Projects: 5 results

# of Collaborated Products: 0 results
14. OHTA Masahito (00291394)

# of Collaborated Projects: 5 results

# of Collaborated Products: 0 results
15. YANO Tamaki (10111410)

# of Collaborated Projects: 5 results

# of Collaborated Products: 0 results
16. UMEHARA Masaaki (90193945)

# of Collaborated Projects: 4 results

# of Collaborated Products: 0 results
17. OKUMURA Masafumi (60016053)

# of Collaborated Projects: 4 results

# of Collaborated Products: 0 results
18. OGAWA Takayoshi (20224107)

# of Collaborated Projects: 4 results

# of Collaborated Products: 0 results
19. OTANI Mitsuharu (30119656)

# of Collaborated Projects: 3 results

# of Collaborated Products: 0 results
20. FUJITA Yasuhiro (10209067)

# of Collaborated Projects: 3 results

# of Collaborated Products: 0 results
21. IZUMIYA Shyuichi (80127422)

# of Collaborated Projects: 3 results

# of Collaborated Products: 0 results
22. ISHIKAWA Goo (50176161)

# of Collaborated Projects: 3 results

# of Collaborated Products: 0 results
23. ONO Kaoru (20204232)

# of Collaborated Projects: 3 results

# of Collaborated Products: 0 results
24. OHMOTO Toru (20264400)

# of Collaborated Projects: 3 results

# of Collaborated Products: 0 results
25. TONEGAWA Yoshihiro (80296748)

# of Collaborated Projects: 3 results

# of Collaborated Products: 0 results
26. MACHIHARA Shuji (20346373)

# of Collaborated Projects: 3 results

# of Collaborated Products: 0 results
27. TAKEDA Masayoshi (30179650)

# of Collaborated Projects: 3 results

# of Collaborated Products: 0 results
28. KAISE Hidehiro (60377778)

# of Collaborated Projects: 3 results

# of Collaborated Products: 0 results
29. SEKINE Jun (50314399)

# of Collaborated Projects: 3 results

# of Collaborated Products: 0 results
30. MORIMOTO Hiroaki (80166438)

# of Collaborated Projects: 3 results

# of Collaborated Products: 7 results
31. Ishige Kazuhiro (90272020)

# of Collaborated Projects: 3 results

# of Collaborated Products: 0 results
32. 岡部真也 (70435973)

# of Collaborated Projects: 3 results

# of Collaborated Products: 0 results
33. KOHATSU-HIGA Arturo (80420412)

# of Collaborated Projects: 2 results

# of Collaborated Products: 17 results
34. AIDA Shigeki (90222455)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
35. YAMADA Naoki (50030789)

# of Collaborated Projects: 2 results

# of Collaborated Products: 1 results
36. KOJIMA Hisashi (90146118)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
37. SHIMOKAWA Koya (60312633)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
38. OZAWA Tohru (70204196)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
39. TANAKA Kazunaga (20188288)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
40. ISHIWATA Michinori (30350458)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
41. AKAGI Gorou (60360202)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
42. TERAO Hiroaki (90119058)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
43. MITAKE Hiroyoshi (90631979)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
44. KOZONO Hideo (00195728)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
45. YANAGIDA Eiji (80174548)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
46. TAKEUCHI Kisao (00011560)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
47. MOCHIZUKI Kiyoshi (80026773)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
48. NII Shunsaku (50282421)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
49. TACHIKAWA Atsushi (50188257)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
50. KOBAYASI Kazuo (30139589)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
51. GOTO Syun'ichi (30225651)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
52. OHNUMA Masaki (90304500)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
53. YAMAGUCHI Keizo (00113639)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
54. EBIHARA Madoka (80213578)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
55. MIYAHARA Yoshio (20106256)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
56. HATA Hiroaki (00609290)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
57. NAGAHATA Yukio (50397725)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
58. TAMURA Takashi (50437357)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
59. YAMADA Yoshio (20111825)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
60. NISHIHARA Kenji (60141876)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
61. KENMOCHI Nobuyuki (00033887)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
62. SAKAGUCHI Shigeru (50215620)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
63. SUZUKI Takashi (40114516)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
64. HAYASHI Nakao (30173016)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
65. IDOGAWA Tomoyuki (40257225)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
66. ICHIHARA Naoyuki (70452563)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
67. YAMADA Sumio (90396416)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
68. KABEYA Yoshitsugu (70252757)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
69. EGASHIRA Shinji (00261876)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
70. SATOH Takakazu (70215797)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
71. TOMITA Yoshihito (50031456)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
72. SAKAI Makoto (70016129)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
73. FUNAKI Tadahisa (60112174)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
74. KOIKE Satoshi (60161832)

# of Collaborated Projects: 1 results

# of Collaborated Products: 4 results
75. IZUMI Shuzo (80025410)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
76. TAKAGI Izumi (40154744)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
77. KOTANI Shinichi (10025463)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
78. MATSUMOTO Hiroyuki (00190538)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
79. KISHIMOTO Takashi (20372576)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
80. KOHSAKA Yoshihito (00360967)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
81. 木村真琴 (30186332)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
82. 金銅誠之 (50186847)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
83. 佐藤祐吉 (80008812)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
84. 柳井久江 (10008865)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
85. 押切源一 (70133931)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
86. 川田浩一 (70271830)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
87. 沼田稔 (50028255)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
88. 小宮山晴夫 (90042762)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
89. 宮井秋男 (70003960)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
90. 川上竜樹 (20546147)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
91. 小林和夫 (80103612)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
92. 梶木屋龍治 (10183261)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
93. 木村正人 (70263358)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
94. 佐治健太郎 (70451432)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
95. 高橋雅朋 (80431302)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
96. 三浦英之 (20431497)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
97. 久保英夫 (50283346)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
98. 木村芳文 (70169944)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
99. 芳松克則 (70377802)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
100. 前川泰則 (70507954)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
101. 隠居良行 (80243913)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
102. 金田行雄 (10107691)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
103. 舘山翔太 (30868435)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
104. 小杉卓裕 (80816215)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
105. LIONS P.L.

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
106. SONER H.M.

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
107. SOUGANIDIS P.E.

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
108. GRANDALL M.G.

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
109. EVANS L.C.

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
110. GIGA Y.

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
111. KOIKE S.

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
112. 小池直之

# of Collaborated Projects: 0 results

# of Collaborated Products: 1 results

KOIKE Shigeaki 小池 茂昭

小池 茂明 コイケ シゲアキ

Research Projects

Research Products

Co-Researchers

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

Project Period (FY)

Research Category

Review Section

Research Institution

New developments of the theory of viscosity solutions and its applicationsOngoing

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Evolution equations describing non-standard irreversible processesOngoing

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

New development of mathematical theory of turbulence by collaboration of the nonlinear analysis and computational fluid dynamicsOngoing

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

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

Project Period (FY)

Research Category

Research Field

Research Institution

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Fundamental theory for viscosity solutions of fully nonlinear equations and its applicationsPrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Principal Investigator

Project Period (FY)

Research Category

Research Field

KOIKE Shigeaki 小池茂昭

小池茂明コイケシゲアキ