KOIKE Shigeaki 小池茂昭

… Alternative Names

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

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 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
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] International Conference for the 25th Anniversary of Viscosity Solutions2008
- Author(s)
  Y.Giga, K.Ishii,S.Koike, T.Ozawa, N.Yamada編集
- Total Pages
  255
- Publisher
  Gakkotosho
- Data Source
  KAKENHI-PROJECT-20340026
[Book] GAKUTO International Series, Mathematical Sciences and Applications2008
- Author(s)
  Y. Giga, K. Ishii, S. Koike, T. Ozawa, N. Yamada, Gakkotosho
- Total Pages
  30
- Publisher
  International Conference for the 25th Anniversary of Viscosity Solutions
- Data Source
  KAKENHI-PROJECT-20340026
[Book] Proceedings of the International Conference on the 25th Anniversary of Viscosity Solutions2008
- Author(s)
  Y. Giga, K. Ishii, S. Koike, T. Ozawa, N. Yamada (編集)
- Total Pages
  255
- Publisher
  学校図書
- Data Source
  KAKENHI-PROJECT-18204009
[Book] International Conference for the 25th Anniversary of Viscosity Solutions, GAKUTO International Series, Mathematical Sciences and Applications, 30巻2008
- Author(s)
  edited by Y.Giga, K.Ishii, S.Koike, T.Ozawa, N.Yamada
- Publisher
  Gakkotosho
- Data Source
  KAKENHI-PROJECT-20340026
[Book] 微分方程式の粘性解理論とその発展2007
- Author(s)
  S.Koike(編者)
- Total Pages
  160
- Publisher
  京都大学数理解析研究所
- Data Source
  KAKENHI-PROJECT-18204009
[Book] 数学辞典・第4版「粘性解」2007
- Author(s)
  石井仁司, 小池茂昭
- Total Pages
  4
- Publisher
  岩波書店
- Data Source
  KAKENHI-PROJECT-16340032
[Book] 数理ファイナンスに現れる偏微分方程式2007
- Author(s)
  小池茂昭
- Publisher
  「これからの非線型偏微分方程式」日本評論社
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-16340032
[Book] 微分方程式の粘性解理論とその発展2006
- Author(s)
  小池茂昭
- Total Pages
  140
- Publisher
  京都大学数理解析研究所(講究録)
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-15340051
[Book] 微分方程式の粘性解理論とその発展2005
- Author(s)
  小池茂昭(編集)
- Total Pages
  149
- Publisher
  京都大学数理解析研究所(講究録)
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-15340051
[Book] A Beginner's Guide to the Theory of Viscosity Solutions2004
- Author(s)
  S.Koike
- Publisher
  Japan Math.Soc., Tokyo
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-15540195
[Book] A Beginner's Guide to the Theory of Viscosity Solutions2004
- Author(s)
  S.Koike
- Total Pages
  123
- Publisher
  日本数学会
- Data Source
  KAKENHI-PROJECT-16340025
[Book] Twelfth Tokyo conference on nonlinear PDE, 20042004
- Author(s)
  小池茂昭, 石井仁司(編集)
- Total Pages
  139
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-15340051
[Book] A Beginner' s Guide to the Theory of Viscosity Solutions2004
- Author(s)
  S.Koike
- Total Pages
  123
- Publisher
  日本数学会
- Data Source
  KAKENHI-PROJECT-16340032
[Book] A Beginner's Guide to the Theory of Viscosity Solutions2004
- Author(s)
  S. Koike
- Total Pages
  123
- Publisher
  日本数学会
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-16340032
[Book] A Beginner's Guide to the Theory of Viscosity Solutions2004
- Author(s)
  小池茂昭
- Total Pages
  123
- Publisher
  日本数学会
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-15340051
[Journal Article] Maximum principle for Pucci equations with sublinear growth in D u and 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
[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
- Acknowledgement Compliant / Int'l Joint Research / Peer Reviewed
- Data Source
  KAKENHI-PROJECT-23340028, KAKENHI-PROJECT-16H03948, KAKENHI-PROJECT-15H02058
[Journal Article] On the ABP maximum principle for Lp- viscosity solutions of fully nonlinear PDE2015
- Author(s)
  Shigeaki Koike
- Journal Title
  
  Nonlinear dynamics in partial differential equations
  
  Volume : 64 Pages : 113-124
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-23244015
[Journal Article] Remarks on the comparison principle for quasilinear PDE with no zeroth order terms2015
- Author(s)
  Shigeaki Koike, Takahiro Kosugi
- Journal Title
  
  Communications in Pure and Applied Analysis
  
  Volume : 14 Pages : 133-1423
- DOI
  10.3934/cpaa.2015.14.133
- Open Access / Acknowledgement Compliant / Peer Reviewed
- 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
- Open Access / Peer Reviewed
- Data Source
  KAKENHI-PROJECT-23340028
[Journal Article] Regularity results and large time behavior for integro- differential equations with coercive Hamiltonians2015
- Author(s)
  Guy Barles, Shigeaki Koike, Olivier Ley, Erwin Topp
- Journal Title
  
  Calc. Var. Partial Differential Equations
  
  Volume : 54 Pages : 539-572
- DOI
  10.1007/s00526-014-0794-x
- Int'l Joint Research / Peer Reviewed
- Data Source
  KAKENHI-PROJECT-23244015
[Journal Article] On the ABP maximum principle for Lp-viscosity solutions of fully nonlinear PDE2014
- Author(s)
  S. Koike
- Journal Title
  
  Nonlinear Dynamics in Partial Differential Equations,Mathematics, Advanced Studies in Pure Mathematics
  
  Volume : 64 Pages : 113-124
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-23340028
[Journal Article] Representation formulas for solutions of Isaacs integro-PDE2013
- Author(s)
  S. Koike and A. Swiech
- Journal Title
  
  Indiana University Mathematical Journal
  
  Volume : 未定
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-23340028
[Journal Article] On the ABP maximum principle for Lp-viscosity solutions of fully nonlinear PDE2013
- Author(s)
  S. Koike
- Journal Title
  
  the Proceedings of the 4th MSJ-SI Conference on Nonlinear Dynamics in Partial Differential Equations
  
  Volume : 無
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-23244015
[Journal Article] On the ABP maximum principle and applications2013
- Author(s)
  S. Koike
- Journal Title
  
  数理解析研究所講究録
  
  Volume : 1845 Pages : 107-120
- Data Source
  KAKENHI-PROJECT-23340028
[Journal Article] Representation formulas for solutions of Isaacs integro-PDE2013
- Author(s)
  S. Koike, A. Swiech
- Journal Title
  
  Indiana University Mathematical Journal
  
  Volume : 未定
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-23244015
[Journal Article] Representation formulas for solutions of Isaacs integro-PDE2013
- Author(s)
  S. Koike, A. Swiech
- Journal Title
  
  Indiana Univ. Math. J.
  
  Volume : 62 Pages : 1473-1502
- DOI
  10.1512/iumj.2013.62.5109
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21244010, KAKENHI-PROJECT-23244015, KAKENHI-PROJECT-23340028
[Journal Article] On the ABP maximum principle and applications2012
- Author(s)
  S.Koike
- Journal Title
  
  数理解析研究所講究録「幾何学的偏微分方程式における保存則と正則性特異性の研究」
  
  Volume : (未定)(掲載確定)
- Data Source
  KAKENHI-PROJECT-23244015
[Journal Article] Local maximum principle for L^p-viscosity solutions of fully nonlinear PDEs with unbounded ingredients2012
- Author(s)
  S. Koike, A. Swiech
- Journal Title
  
  Communications in Pure and Applied Analysis
  
  Volume : 11 Pages : 1897-1910
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21244010
[Journal Article] Local maximum principle for Lp-viscosity solutions of fully nonlinear elliptic PDEs with unbounded coefficients2012
- Author(s)
  S. Koike, A. Swiech
- Journal Title
  
  Communications in Pure and Applied Analysis
  
  Volume : 11, No5 Pages : 1897-1910
- DOI
  10.3934/cpaa.2012.11.1897
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20340019, KAKENHI-PROJECT-23244015, KAKENHI-PROJECT-23340028
[Journal Article] On the ABP maximum principle for Lp-viscosity solutions of fully nonlinear PDE2012
- Author(s)
  S.Koike
- Journal Title
  
  Proceedings of the 4th MSJ-SI Conference on Nonlinear Dynamics in Partial Differential Equations
  
  Volume : (掲載確定)(未定)
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-23244015
[Journal Article] Comparison principle for unbounded viscosity solutions of degenerate elliptic PDEs with gradient superlinear terms2011
- Author(s)
  S.Koike, O.Ley
- Journal Title
  
  Journal of Mathematical Analysis and Applications
  
  Volume : 381 Pages : 110-120
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21244010
[Journal Article] Weak Harnack inequality for fully nonlinear uniformly elliptic PDE with unbounded ingredients2011
- Author(s)
  S.Koike, O.Ley
- Journal Title
  
  Journal Mathematical Analysis and Applications
  
  Volume : 29(掲載確定)
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20340019
[Journal Article] Comparison principle for unbounded viscosity solutions of degenerate elliptic PDEs with gradient superlinear terms2011
- Author(s)
  S.Koike, O. Ley
- Journal Title
  
  Journal of Mathema tical Analysis and Applications
  
  Volume : 381 Pages : 110-120
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21244010
[Journal Article] Comparison principle for unbounded viscosity solutions of degenerate elliptic PDEs with gradient superlinear terms2011
- Author(s)
  S. Koike, O. Ley
- Journal Title
  
  Journal of Mathematical Analysis and Applications
  
  Volume : vol. 381 (1) Pages : 110-120
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20340019
[Journal Article] Comparison principle for unbounded viscosity solutions of degenerate elliptic PDEs with gradient superlinear terms2011
- Author(s)
  S. Koike
- Journal Title
  
  Journal of Mathematical Analysis and Applications
  
  Volume : 381 Pages : 110-120
- DOI
  10.1016/j.jmaa.2011.03.009
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20340019, KAKENHI-PROJECT-23244015, KAKENHI-PROJECT-23340028
[Journal Article] Weak Harnack inequality for fully nonlinear PDEs with superlinear growth terms in Du2010
- Author(s)
  S. Koike
- Journal Title
  
  微分方程式の粘性解理論とその周辺-数理解析研究所講究録
  
  Volume : 1695巻 Pages : 139-147
- Data Source
  KAKENHI-PROJECT-20340026
[Journal Article] Weak Harnack inequality for fully nonlinear PDEs with superlinear growth terms in Du2010
- Author(s)
  S.Koike
- Journal Title
  
  数理解析研究所講究録「微分方程式の粘性解理論とその周辺」
  
  Volume : 1695 Pages : 139-147
- Data Source
  KAKENHI-PROJECT-20340026
[Journal Article] 粘性解が古典解になる時-Caffarelliの研究の紹介2010
- Author(s)
  S.Koike
- Journal Title
  
  数学
  
  Volume : 第62巻第9号 Pages : 315-328
- Data Source
  KAKENHI-PROJECT-21244010
[Journal Article] Weak Harnack inequality for fully nonlinear PDEs with superlinear growth terms in Du2010
- Author(s)
  S.Koike
- Journal Title
  
  数理解析研究所講究録「微分方程式の粘性解理論とその周辺」 1695巻
  
  Pages : 139-147
- Data Source
  KAKENHI-PROJECT-20340026
[Journal Article] Weak Harnack inequality for fully nonlinear PDEs with superlinear growth terms in Du2010
- Author(s)
  S.Koike
- Journal Title
  
  Surikaisekikenkyusho Kokyuroku
  
  Volume : 1695 Pages : 139-147
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21244010
[Journal Article] Remarks on the Phragmen-Lindeof Theorem for Lp-viscosity solutions of fully nonlinear PDEs with unbounded ingredients2009
- Author(s)
  S.Koike, K.Nakagawa
- Journal Title
  
  Electric Journal of Differential Equations 146
  
  Pages : 1-14
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20340026
[Journal Article] Recent developments on maximum principle for Lp visoosty solutions of fully nonlinear elliptic/parabolic PDEs2009
- Author(s)
  S. Koike
- Journal Title
  
  Recent progress on reaction-diffusion systems and viscosity solutions
  
  Pages : 131-153
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18204009
[Journal Article] Weak Harnack inequality for fully nonlinear uniformly elliptic PDE with unbounded ingredients.2009
- Author(s)
  S. Koike, A. Swiech
- Journal Title
  
  J. Math. Soc. Japan
  
  Volume : 61巻 Pages : 723-755
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20340026
[Journal Article] Existence of strong solutions of Pucci extremal equations with superlinear growth in Du2009
- Author(s)
  S.Koike, A.Swiech
- Journal Title
  
  J.Fixed Point Theory Appl. 5
  
  Pages : 291-304
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18204009
[Journal Article] Weak Harnack inequality for fully nonlinear uniformly elliptic PDE with unbounded ingredients2009
- Author(s)
  S.Koike and A.Swiech
- Journal Title
  
  Journal of Mathematical Society of Japan
  
  Volume : 61 Issue : 3 Pages : 723-755
- DOI
  10.2969/jmsj/06130723
- Language
  English
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20340019
[Journal Article] Weak Harnack inequality for fully nonlinear uniformly elliptic PDE with unbounded ingredients.2009
- Author(s)
  S.Koike, A.Swiech
- Journal Title
  
  J.Math.Soc.Japan 61巻
  
  Pages : 723-755
- 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
- 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
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18204009
[Journal Article] Existence of strong solutions of Pucci extremal equations with superlinear growth in Du2009
- Author(s)
  S.Koike and A.Swiech
- Journal Title
  
  Journal of the Fixed Point Theory and its Application
  
  Volume : 5 Pages : 291-304
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20340019
[Journal Article] Recent developments on maximun principle for Lp-viscosity solutions of fully nonlinear elliptic/parabolic PDEs2009
- Author(s)
  S.Koike
- Journal Title
  
  Recent Progress on Reaction-diffusion Systems and Viscosity Solutions
  
  Pages : 131-153
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18204009
[Journal Article] Weak Harnack inequality for fully nonlinear uniformly elliptic PDE with unbounded ingredients2009
- Author(s)
  S.Koike
- Journal Title
  
  Journal of Mathematical Society of Japan 61(3)
  
  Pages : 723-755
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21244010
[Journal Article] Recent developments on maximum principle for Lp-viscosity solutions of fully nonlinear elliptic/parabolic PDEs2009
- Author(s)
  S.Koike
- Journal Title
  
  Recent Progress on Reaction-diffusion Systems and Viscosity Solutions
  
  Pages : 131-153
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20340026
[Journal Article] Existence of strong solutions of Pucci extremal equations with superlinear growth in Du.2009
- Author(s)
  S.Koike, A.Swiech
- Journal Title
  
  J.Fixed Point Theory Appl. 5巻
  
  Pages : 291-304
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20340026
[Journal Article] Remarks on the Phragmen-Lindelof theorem for Lp-viscosity solutions of fully nonlinear PDEs with unbounded ingredients. Electron.2009
- Author(s)
  S.Koike, K.Nakagawa
- Journal Title
  
  J.Differential Equations 146巻
  
  Pages : 1-14
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20340026
[Journal Article] Weak Harnack inequality for fully nonlinear uniformly elliptic PDE with unbounded ingredients2009
- Author(s)
  S.Koike, A.Swiech
- Journal Title
  
  Journal of Mathematical Society of Japan 61
  
  Pages : 723-755
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20340019
[Journal Article] Recent developments on maximum principle for Lp-viscosity solutions of fully nonlinear elliptic/parabolic PDEs. Recent Progress on Reaction-Diffusion Systems and Viscosity Solutions2009
- Author(s)
  S. Koike
- Journal Title
  
  World Sci. Publ., Hackensack, NJ
  
  Pages : 131-153
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20340026
[Journal Article] Remarks on the Phragmen-Lindel of theorem for Lp-viscosity solutions of fully nonlinear PDEs with unbounded ingredients2009
- Author(s)
  S. Koike, K. Nakagawa
- Journal Title
  
  Electron. J. Differential Equations
  
  Volume : 146巻 Pages : 1-14
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20340026
[Journal Article] Remarks on the Phragmen-Lindelof Theorem for L^p-viscosity solutions of fully nonlinear PDEs with unbounded ingredients2009
- Author(s)
  S.Koike, K. Nakagawa
- Journal Title
  
  Electronic Journal of Differential Equations
  
  Volume : 146 Pages : 1-14
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21244010
[Journal Article] Recent developments on maximum principle for Lp-viscosity solutions of fully nonlinear elliptic/parabolic PDEs.2009
- Author(s)
  S.Koike
- Journal Title
  
  Recent Progress on Reaction-Diffusion Systems and Viscosity Solutions(World Sci.Publ.)
  
  Pages : 131-153
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20340026
[Journal Article] Weak Harnack inequality for fully nonlinear uniformly elliptic PDE with unbounded ingredients2009
- Author(s)
  S.Koike, A. Swiech
- Journal Title
  
  Journal of Mathematical Society of Japan
  
  Volume : 61 Pages : 723-755
- 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
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20340026
[Journal Article] Existence of strong solutions of Pucci extremal equations with superlinear growth in Du2009
- Author(s)
  S.Koike, A.Swiech
- Journal Title
  
  Journal of the Fixed Point Theory and its Applications 5
  
  Pages : 291-304
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20340026
[Journal Article] Remarks on the Phragmen-Lindelof Theorem for Lp-viscosity solutions of fully nonlinear PDEs with unbounded ingredients2009
- Author(s)
  S.Koike, K.Nakagawa
- Journal Title
  
  Electron.J.Differential Equations 146
  
  Pages : 1-14
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18204009
[Journal Article] Weak Harnack inequality for fully nonlinear uniformly elliptic PDE with unbounded ingredients2009
- Author(s)
  S.Koike, A.Swiech
- Journal Title
  
  Journal of Mathematical Society of Japan vol.61
  
  Pages : 723-755
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20340019
[Journal Article] Existence of strong solutions of Pucci extremal equations with superlinear growth in Du2009
- Author(s)
  S.Koike, A.Swiech
- Journal Title
  
  Journal of the Fixed Point Theory and its Applications 5
  
  Pages : 291-304
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20340019
[Journal Article] Existence of strong solutions of Pucci extremal equations with superlinear growth in Du. J2009
- Author(s)
  S. Koike, A. Swiech
- Journal Title
  
  Fixed Point Theory Appl
  
  Volume : 5巻 Pages : 291-304
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20340026
[Journal Article] Weak Harnack inequality for fully nonlinear uniformly elliptic PDE with unbounded ingredients2008
- Author(s)
  S. Koike, A. Swiech
- Journal Title
  
  J. Math. Soc. Japan (未定)(掲載確定)
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18204009
[Journal Article] Maximum principle via the iterated comparison function method2007
- Author(s)
  S. Koike
- Journal Title
  
  数理解析研究所講究録 1545
  
  Pages : 1-12
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-16340032
[Journal Article] A linear-quadratic control problem with discretionary stopping2007
- Author(s)
  S., Koike, et. al.
- Journal Title
  
  Discrete and Continuous Dynamical Systems, Series B 8-2
  
  Pages : 261-277
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-16340025
[Journal Article] A linear-quadratic control problem with discretionary stopping2007
- Author(s)
  S. Koike, et. al.
- Journal Title
  
  Discrete and Continuous Dynamical Systems, Series B 8
  
  Pages : 261-277
- Description
  「研究成果報告書概要(和文)」より
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-16340025
[Journal Article] On the realisation of a map of some class as a desingularisation map2007
- Author(s)
  K.Bekka, T.Fukui, S.Koike
- Journal Title
  
  Real and complex singularities, Proceedings of the Australian-Japanese workshop, Worlk Scientific
  
  Pages : 33-45
- Data Source
  KAKENHI-PROJECT-15340017
[Journal Article] A linear-quadratic control problem with discretionary stopping2007
- Author(s)
  S. Koike, H. Morimoto and S. Sakaguchi
- Journal Title
  
  Discrete and Continuous Dyna-mical System Series B 8(2)
  
  Pages : 261-277
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-16340032
[Journal Article] A linear-quadratic control problem with discretionlary stopping2007
- Author(s)
  S.Koike, H.Morimpto, S.Sakaguchi
- Journal Title
  
  Discrete and Continuous Dynamical Systems, Series B 8(2)
  
  Pages : 261-277
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18204009
[Journal Article] Maximum principle for fully nonlinear equations via the iterated comparison function method2007
- Author(s)
  S. Koike, et. al.
- Journal Title
  
  Mathematische Annalen 339.
  
  Pages : 461-484
- Description
  「研究成果報告書概要(和文)」より
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-16340025
[Journal Article] A linear quadratic control problem with discretionary stopping2007
- Author(s)
  S. Koike, H. Morimoto & S. Sakaguchi
- Journal Title
  
  Discrete and Contin. Dyn. Syst. Ser. B 8
  
  Pages : 261-277
- Description
  「研究成果報告書概要(和文)」より
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-17540188
[Journal Article] Maximum principle for fully nonlinear equations via the iterated comparison function method2007
- Author(s)
  S. Koike,.
- Journal Title
  
  Mathematische Annalen 339
  
  Pages : 461-484
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-16340025
[Journal Article] A linear-quadratic control problem with discretionary stopping2007
- Author(s)
  S. Koike, H. Morimoto & S. Sakaguchi
- Journal Title
  
  Discrete and Continuous Dynamical Systems, Series B 8(2)
  
  Pages : 251-277
- Description
  「研究成果報告書概要(和文)」より
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-16340032
[Journal Article] Maximum principle for fully nonlinear equations via the iterated comparison function method2007
- Author(s)
  S. Koike & A. Swiech
- Journal Title
  
  Mathematische Annalen 339
  
  Pages : 461-484
- Description
  「研究成果報告書概要(和文)」より
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-16340032
[Journal Article] On the realisation of a map of some class as a desingularisation map2007
- Author(s)
  K.Bekka, T.Fukui, S.Koike
- Journal Title
  
  Proceedings of the Australian-Japanese workshp
  
  Pages : 33-45
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-15340017
[Journal Article] Perron-Ishii method for viscosity solutions2007
- Author(s)
  小池茂昭
- Journal Title
  
  数理解析研究所講究録 1553
  
  Pages : 44-58
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-16340032
[Journal Article] Maximum Principie via the iterated comparison function method2007
- Author(s)
  S.Koike
- Journal Title
  
  微分方程式の粘性解理論とその発展, 数理解析研究所講究録 1545
  
  Pages : 1-12
- Data Source
  KAKENHI-PROJECT-18204009
[Journal Article] A linear-quadratic control problem with discretionary stopping,2007
- Author(s)
  S. Koike,.
- Journal Title
  
  Discrete and Continuous Dynamical Systems, Series B 8
  
  Pages : 261-277
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-16340025
[Journal Article] Maximum principle for fully nonlinear equations via the iterated comparison function method2007
- Author(s)
  S.Koike, A.Swiech
- Journal Title
  
  Math.Ann. 339
  
  Pages : 461-484
- 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
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-16340025
[Journal Article] Maximum principle for fully nonlinear equations via the iterated comparison function method2007
- Author(s)
  小池茂昭、Andrej Swiech
- Journal Title
  
  Math. Ann. 339巻
  
  Pages : 461-484
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18204009
[Journal Article] Maximum principle for fully nonlinear quations via the iterated comparison function method2007
- Author(s)
  Shigeaki. KOIKE and A. Swiech
- Journal Title
  
  Math, Ann 339
  
  Pages : 461-484
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18540013
[Journal Article] Maximum principle for fully nonlinear equations via the iterated comparison function method2007
- Author(s)
  S. Koike & A.Swiech
- Journal Title
  
  Mathematische Annalen 339
  
  Pages : 461-484
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-16340032
[Journal Article] Maximum principle for fully nonlinear equations via the iterated comparison function method2007
- Author(s)
  S. Koike and A. Swiech
- Journal Title
  
  Mathematische Annalen 339
  
  Pages : 461-484
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-16340032
[Journal Article] Maximum principle for fuly nonlinear equations via the comparison function method2007
- Author(s)
  S. Koike & A. Swiech
- Journal Title
  
  Math. Ann 339
  
  Pages : 461-484
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-17540188
[Journal Article] 数理ファイナンスに現れる偏微分方程式2007
- Author(s)
  S.koike
- Journal Title
  
  これからの非線型偏微分方程式, 日本評論社(小薗英雄編)
  
  Pages : 151-168
- Data Source
  KAKENHI-PROJECT-18204009
[Journal Article] Perron-Ishii method for viscosity solutions2007
- Author(s)
  S.Koike
- Journal Title
  
  ポテンシャル論とその関連分野, 数理解析研究所講究録 1553
  
  Pages : 44-58
- Data Source
  KAKENHI-PROJECT-18204009
[Journal Article] A linear-quadratic control problem with discretionary stopping2007
- Author(s)
  S. Koike, H. Mbrimoto & S. Sakaguchi
- Journal Title
  
  Discrete and Continuous Dynamical Systems, Series B 8(2)
  
  Pages : 261-277
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-16340032
[Journal Article] Maximum principle for fully nonlinear equations via the comparison function method2007
- Author(s)
  S. Koike & A. Swiech
- Journal Title
  
  Math. Ann. 339
  
  Pages : 461-484
- Description
  「研究成果報告書概要(和文)」より
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-17540188
[Journal Article] A linear-quadratic control problem with discretionary stopping2007
- Author(s)
  S. Koike, H. Morimoto & S. Sakaguchi
- Journal Title
  
  Discrete and Contin. Dyn. Syst. Ser. B 8
  
  Pages : 261-277
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-17540188
[Journal Article] On the realization of a map of some class as a desingularization map2007
- Author(s)
  K.Bekka, T.Fukui, S.Koike
- Journal Title
  
  Proceedings of the Australian-Japanese workshop World Scientific
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-15340017
[Journal Article] Perron's method for L^P-viscosity solutions.2006
- Author(s)
  S.Koike
- Journal Title
  
  Saitama Math.J. 23
  
  Pages : 9-28
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-15340051
[Journal Article] Perron's method for Lp-viscosity solutions2006
- Author(s)
  S.Koike
- Journal Title
  
  Saitama Math. J. 23
  
  Pages : 9-28
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-15340051
[Journal Article] Optimal consumption and portfolio choice with stopping2005
- Author(s)
  S.Koike, H.Morimoto
- Journal Title
  
  Funkcial. Ekvac. 48
  
  Pages : 183-202
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-15340051
[Journal Article] 粘性解による値関数の特徴づけ2005
- Author(s)
  小池茂昭, 儀我美一
- Journal Title
  
  システム/制御/情報(システム制御情報学会) 49
  
  Pages : 2-7
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-15540195
[Journal Article] 粘性解による値関数の特徴付け2005
- Author(s)
  儀我美一・小池茂昭
- Journal Title
  
  システム/制御/情報 49(1)
  
  Pages : 2-7
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-16340032
[Journal Article] Perron's method-revisited-2005
- Author(s)
  S. Koike
- Journal Title
  
  数理解析研究所 1428
  
  Pages : 1-8
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-16340032
[Journal Article] Characterization of value-functions by viscosity solutions(in Japanese)2005
- Author(s)
  S.Koike, Y.Giga
- Journal Title
  
  System/Control/Information 49(1)
  
  Pages : 2-7
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-15540195
[Journal Article] Optimal consumption and choice with stopping2005
- Author(s)
  S.Koike, et al.
- Journal Title
  
  Funkcialaj Ekvacioj 48
  
  Pages : 183-202
- Data Source
  KAKENHI-PROJECT-16340025
[Journal Article] Optimal consumption and portfolio choice with stopping2005
- Author(s)
  S. Koike & H. Morimoto
- Journal Title
  
  Funkcialaj Ekvacioj 48
  
  Pages : 183-202
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-17540188
[Journal Article] Optimal consumption and portfolio choice with stopping2005
- Author(s)
  S., Koike, et. al.
- Journal Title
  
  Funkcialaj Ekvacioj 48
  
  Pages : 183-202
- 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
- Description
  「研究成果報告書概要(和文)」より
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-17540188
[Journal Article] Optimal consumption and portfolio choice with stopping2005
- Author(s)
  S.Koike, H.Moromoto
- Journal Title
  
  Funkcialaj Ekvacioj 48・2
  
  Pages : 183-202
- Data Source
  KAKENHI-PROJECT-17540188
[Journal Article] Perron's method for $L^p$-viscosity solutions2005
- Author(s)
  S. Koike
- Journal Title
  
  Saitama Math. J. 23
  
  Pages : 9-28
- Description
  「研究成果報告書概要(和文)」より
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-17540188
[Journal Article] Perron's method for Lp-viscosity solutions2005
- Author(s)
  S. Koike
- Journal Title
  
  Saitama Mathematical Journal 23
  
  Pages : 9-28
- Description
  「研究成果報告書概要(和文)」より
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-16340032
[Journal Article] Optimal consumption and portfolio choice with stopping2005
- Author(s)
  S. Koike, et. al.
- Journal Title
  
  Funkcialaj Ekvacioj 48
  
  Pages : 183-202
- Description
  「研究成果報告書概要(和文)」より
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-16340025
[Journal Article] Perron's method -revisited-2005
- Author(s)
  S.Koike
- Journal Title
  
  数理解析研究所講究録 1428
  
  Pages : 1-8
- Data Source
  KAKENHI-PROJECT-15340051
[Journal Article] Optimal consumption and portfolio choice with stopping2005
- Author(s)
  S.Koike, H.Morimoto
- Journal Title
  
  Funkcialaj Ekvacioj 48
  
  Pages : 183-202
- Data Source
  KAKENHI-PROJECT-16340032
[Journal Article] 粘性解による値関数の特徴づけ2005
- Author(s)
  儀我美一, 小池茂昭
- Journal Title
  
  システム/制御/情報(システム制御情報学会) 49・1
  
  Pages : 2-7
- Data Source
  KAKENHI-PROJECT-16340032
[Journal Article] Optimal consumption and portfolio choice with stopping2005
- Author(s)
  S. Koike and H. Mortmoto
- Journal Title
  
  Funkcialaj Ekvacioj 48
  
  Pages : 183-202
- Description
  「研究成果報告書概要(和文)」より
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-16340032
[Journal Article] Optimal consumption and portfolio choice with stopping2005
- Author(s)
  S.Koike, H.Morimoto
- Journal Title
  
  Funkcial.Ekvac. 48巻2号
  
  Pages : 183-202
- Data Source
  KAKENHI-PROJECT-15340051
[Journal Article] 粘性解による値関数の特徴づけ2005
- Author(s)
  儀我美一, 小池茂昭
- Journal Title
  
  システム/制御/情報 49・1
  
  Pages : 2-7
- Data Source
  KAKENHI-PROJECT-16340032
[Journal Article] 粘性解による値関数の特徴づけ2005
- Author(s)
  小池茂昭, 儀我美一
- Journal Title
  
  システム/制御/情報(システム制御情報学会) 49・1
  
  Pages : 2-7
- Data Source
  KAKENHI-PROJECT-15540195
[Journal Article] Perron's method -revisited-2005
- Author(s)
  S.Koike
- Journal Title
  
  「微分方程式の粘性解理論とその発展」数理解析研究所講究録未定
  
  Pages : 1-8
- Data Source
  KAKENHI-PROJECT-16340032
[Journal Article] Optimal consumption and portfolis choice with stopping2005
- Author(s)
  S.Koike, H.Morimoto
- Journal Title
  
  Funkcialaj Ekvacioj 48
  
  Pages : 183-202
- Data Source
  KAKENHI-PROJECT-16540003
[Journal Article] Perron's method for L^p-viscosity solutions2005
- Author(s)
  S. Koike
- Journal Title
  
  Saitama Math. J. 23
  
  Pages : 9-28
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-17540188
[Journal Article] Optimal consumption and portfolio choice with stopping.2005
- Author(s)
  S.Koike, H.Morimoto
- Journal Title
  
  Funkcial.Ekvac. 48, no.2
  
  Pages : 183-202
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-15340051
[Journal Article] Optimal consumption and portfolio choice with stopping2005
- Author(s)
  S. Koike and H. Morimoto
- Journal Title
  
  Funkcialaj Ekvacioj 48
  
  Pages : 183-202
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-16340032
[Journal Article] Perron' s method -revisited-2005
- Author(s)
  S.Koike
- Journal Title
  
  Surikaisekikenkyusho Kokyuroku 1428
  
  Pages : 1-8
- Data Source
  KAKENHI-PROJECT-16340032
[Journal Article] Maximum Principle and existence of Lp-viscosity solutions for fully nonlinear uniformly elliptic equations with measurable and quadratic terms2004
- Author(s)
  S. Koike & A. Swiech
- Journal Title
  
  Nonlinear Differential Equations Applications 11(4)
  
  Pages : 491-509
- Description
  「研究成果報告書概要(和文)」より
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-16340032
[Journal Article] Maximum principle and existence of L^P-viscosity solutions for fully non-linear, uniformly elliptic equations with measurable and quadratic terms2004
- Author(s)
  S.Koike, A.Swiech
- Journal Title
  
  Nonlinear Differential Equations and Applications 11・4
  
  Pages : 491-509
- Data Source
  KAKENHI-PROJECT-16340032
[Journal Article] Maximum principle and existence of Lp-viscosity solutions for fully nonlinear uniformly elliptic equations with measurable and quadratic terms2004
- Author(s)
  S.Koike, A.Swiech
- Journal Title
  
  NoDEA Nonlinear Differential Equations Appl. 11
  
  Pages : 491-509
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-15340051
[Journal Article] Maximum principle and existence of L^P-viscosity solutions for fully nonlinear uniformly elliptic equations with measurable and quadratic terms.2004
- Author(s)
  S.Koike, A.Switch
- Journal Title
  
  NoDEA Nonlinear Differential Equations Appl. 11, no.4
  
  Pages : 491-509
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-15340051
[Journal Article] Maximum principle and existence of Lp-viscosity solutions for fully nonlinear uniformly elliptic equations with measurable and quadratic terms2004
- Author(s)
  S. Koike and A. Swiech
- Journal Title
  
  Nonlinear Differential Equations Applications 11(4)
  
  Pages : 491-509
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-16340032
[Journal Article] Maximum principle and existence of L^P-viscosity solutions for fully non-linear, uniformly elliptic equations with measurable and quadratic terms2004
- Author(s)
  S.Koike, A.Swiech
- Journal Title
  
  Nonlinear Differential Equations and Applications 11・4
  
  Pages : 491-509
- Data Source
  KAKENHI-PROJECT-15540195
[Journal Article] Maximum principle and existence of L^p-viscosity solutions for fully nonlinear, uniformly elliptic equations with measurable and quadratic terms2004
- Author(s)
  S.Koike, A.Swicech
- Journal Title
  
  Nonlinear Differential Equations and Applications 11
  
  Pages : 491-509
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-15540195
[Journal Article] Maximum principle and existence of L^p-viscosity solutions for fully nonlinear, uniformly elliptic equations with measurable and quadratic terms2004
- Author(s)
  S.Koike, A.Swiech
- Journal Title
  
  Nonlinear Differential Equations and Applications 11(4)
  
  Pages : 491-509
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-15540195
[Journal Article] Finiteness theorems on blow-Nash triviality for real algebraic singularities2004
- Author(s)
  S.Koike
- Journal Title
  
  Banach Center Publications 65
  
  Pages : 135-149
- Data Source
  KAKENHI-PROJECT-15340017
[Journal Article] Maximum principle and existence of 51./14-viscosity solutions for fully nonlinear, uniformly elliptic equations with measurable and quadratic terms2004
- Author(s)
  S., Koike, et. al.
- Journal Title
  
  Nonlinear Differential Equations and Applications 11-4
  
  Pages : 491-509
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-16340025
[Journal Article] A Beginner's Guide to the Theory of Viscosity Solutions2004
- Author(s)
  S. Koike
- Journal Title
  
  MSJ Memoir, 13, Mathematical Society of Japan
  
  Pages : 123-123
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-16340032
[Journal Article] Maximum principle and existence of $L^p$-viscosity solutions for fully nonlinear, uniformly elliptic equations with measurable and quadratic terms2004
- Author(s)
  S.Koike, A.Swiech
- Journal Title
  
  Nonlinear Differential Equations and Applications 11/4
  
  Pages : 491-509
- Data Source
  KAKENHI-PROJECT-16340025
[Journal Article] Maximum principle and existence of $L^p$-viscosity solutions for fully nonlinear, uniformly elliptic equations with measurable and quadratic terms2004
- Author(s)
  S. Koike, et. al.
- Journal Title
  
  Nonlinear Differential Equations and Applications 11
  
  Pages : 491-509
- Description
  「研究成果報告書概要(和文)」より
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-16340025
[Journal Article] Variational inequalities for leavable bounded-velocity control2003
- Author(s)
  S.Koike, H.Moromoto
- Journal Title
  
  Appl.Math.Optim. 48・1
  
  Pages : 1-20
- Data Source
  KAKENHI-PROJECT-15540195
[Journal Article] Variational inequalities for leavable bounded-velocity control2003
- Author(s)
  S.Koike, H.Morimoto
- Journal Title
  
  Appl. Math. Optim. 48
  
  Pages : 1-20
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-15340051
[Journal Article] Variational inequalities for leavable bounded-velocity control2003
- Author(s)
  S.Koike, H.Morimoto
- Journal Title
  
  Applied Mathematics and Optimizations 48
  
  Pages : 1-20
- Data Source
  KAKENHI-PROJECT-16340032
[Journal Article] Variational inequalities for leavable bounded-velocity control2003
- Author(s)
  S.Koike, H.Moromoto
- Journal Title
  
  Appl.Math.Optim. 48(1)
  
  Pages : 1-20
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-15540195
[Journal Article] Variational inequalities for leavable bounded-velocity control.2003
- Author(s)
  S.Koike, H.Morimoto
- Journal Title
  
  Appl.Math.Optim. 48, no.1
  
  Pages : 1-20
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-15340051
[Journal Article] Variational inequalities for leavable bounded-velocity control2003
- Author(s)
  S.Koike, H.Moromoto
- Journal Title
  
  Appl.Math.Optim. 48
  
  Pages : 1-20
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-15540195
[Journal Article] Maximum principle for fully nonlinear equations via iterated comparison function method
- Author(s)
  S, Koike, A, Swiech
- Journal Title
  
  Mathematische Annalen (掲載決定)
- 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
- Data Source
  KAKENHI-PROJECT-16340032
[Journal Article] A linear-quadratic control problem with discretionary stopping
- Author(s)
  S.Koike, H.Morimoto, S.Sakaguchi
- Journal Title
  
  Discrete Contin Dyn. Syst. Ser. B (掲載決定)
- Data Source
  KAKENHI-PROJECT-17540188
[Journal Article] Maximum principle for fully nonlinear equations via the comparison function method
- Author(s)
  S.Koike, A.S wie ch
- Journal Title
  
  Math. Ann. (掲載決定)
- Data Source
  KAKENHI-PROJECT-17540188
[Journal Article] A Linear-quadratic control problem with discretionary stopping
- Author(s)
  S.Koike, H.Morimoto, S.Sakaguchi
- Journal Title
  
  Discrete and Continuous Dynamical Systems, Series B. (掲載決定)
- Data Source
  KAKENHI-PROJECT-16340032
[Presentation] 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
- Int'l Joint Research / Invited
- Data Source
  KAKENHI-PROJECT-23340028
[Presentation] ABP 最大値原理について2016
- Author(s)
  小池茂昭
- Organizer
  日本数学会年会（企画特別講演）
- Place of Presentation
  筑波大学（茨城県つくば市）
- Year and Date
  2016-03-19
- Invited
- Data Source
  KAKENHI-PROJECT-23244015
[Presentation] Holder continuity for subsolutions of integro-differential equations2015
- Author(s)
  Shigeaki Koike
- Organizer
  偏微分方程式の漸近問題と粘性解
- Place of Presentation
  京都大学数理解析研究所（京都府京都市）
- Year and Date
  2015-12-04
- Invited
- Data Source
  KAKENHI-PROJECT-23244015
[Presentation] A note on comparison principle for quasilinear equations2014
- Author(s)
  S. Koike
- Organizer
  AIMS Conference on Dynamical Systems, Differential Equations and Applications
- Place of Presentation
  Madrid, Spain
- Year and Date
  2014-07-08
- Invited
- Data Source
  KAKENHI-PROJECT-23340028
[Presentation] 微分積分方程式の解のヘルダー連続性2014
- Author(s)
  小池茂昭
- Organizer
  北九州地区における偏微分方程式研究集会
- Place of Presentation
  小倉
- Year and Date
  2014-11-29
- Invited
- Data Source
  KAKENHI-PROJECT-23340028
[Presentation] ABP maximum principle for fully nonlinear elliptic PDE with unbounded ingredients2014
- Author(s)
  S. Koike
- Organizer
  Colloquium
- Place of Presentation
  復旦大学、中国
- Year and Date
  2014-12-08
- Invited
- Data Source
  KAKENHI-PROJECT-23340028
[Presentation] On the ABP maximum principle for viscosity solutions2011
- Author(s)
  Shigeaki Koike
- Organizer
  広島微分方程式研究会
- Place of Presentation
  広島大学(東広島)(招待講演)
- Year and Date
  2011-10-07
- Data Source
  KAKENHI-PROJECT-23244015
[Presentation] On the ABP maximum principle for viscosity solutions2011
- Author(s)
  小池　茂昭
- Organizer
  広島微分方程式研究会
- Place of Presentation
  広島大学
- Invited
- Data Source
  KAKENHI-PROJECT-23340028
[Presentation] Lp粘性解のABP最大値原理とその応用2011
- Author(s)
  小池　茂昭
- Organizer
  応用解析研究会
- Place of Presentation
  早稲田大学
- Invited
- Data Source
  KAKENHI-PROJECT-23340028
[Presentation] On the ABP maxinmum principle and applications2011
- Author(s)
  Shigeaki Koike
- Organizer
  幾何学的偏微分方程式における保存則と正則性の研究
- Place of Presentation
  京都大学数理解析研究所(京都)(招待講演)
- Year and Date
  2011-06-09
- Data Source
  KAKENHI-PROJECT-23244015
[Presentation] On the ABP maximum principle for $L^p$-viscosity solutions of fully nonlinear PDE2011
- Author(s)
  S. Koike
- Organizer
  Nonlinear Dynamics and PDE
- Place of Presentation
  九州大学
- Invited
- Data Source
  KAKENHI-PROJECT-20340019
[Presentation] On the ABP maximum principle for Lp-viscosity solutions of fully nonlinear PDE2011
- Author(s)
  小池　茂昭
- Organizer
  The 4th MSJ-SI Nonlinear Dynamics and PDE国際研究集会
- Place of Presentation
  九州大学
- Invited
- Data Source
  KAKENHI-PROJECT-23340028
[Presentation] On viscosity solutions of fully nonlinear elliptic PDE with measurable and unbounded ingredients2011
- Author(s)
  小池茂昭
- Organizer
  Nonlinear PDE's, Valparaiso
- Place of Presentation
  Chile
- Year and Date
  2011-01-14
- Data Source
  KAKENHI-PROJECT-20340026
[Presentation] On viscosity solutions of fully nonlinear elliptic PDE with measurable and unbounded ingredients2011
- Author(s)
  S.Koike
- Organizer
  Nonlinear PDEs
- Place of Presentation
  Valparaiso・Chile
- Year and Date
  2011-01-14
- Data Source
  KAKENHI-PROJECT-20340019
[Presentation] On viscosity solutions of fully nonlinear elliptic PDE with measurable and unbounded ingredients2011
- Author(s)
  S.Koike
- Organizer
  Nonlinear PDE's
- Place of Presentation
  Valparaiso, Chile
- Year and Date
  2011-01-14
- Data Source
  KAKENHI-PROJECT-20340019
[Presentation] On the ABP maximum principle and applications2011
- Author(s)
  小池　茂昭
- Organizer
  幾何学的偏微分方程式における保存則と正則性の研究
- Place of Presentation
  数理解析研究所
- Invited
- Data Source
  KAKENHI-PROJECT-23340028
[Presentation] On viscosity solutions of fully nonlinear elliptic PDE with measurable and unbounded ingredients2011
- Author(s)
  小池茂昭
- Place of Presentation
  Nonlinear PDE's, Valparaiso (Chile)
- Year and Date
  2011-01-14
- Data Source
  KAKENHI-PROJECT-20340026
[Presentation] On the ABP maximum principie for Lp-viscosity solutions of fully nonlinear PDE2011
- Author(s)
  Shigeaki Koike
- Organizer
  Nonlinear Dynamics and PDE国際研究集会
- Place of Presentation
  九州大学(博多)(招待講演)
- Year and Date
  2011-09-15
- Data Source
  KAKENHI-PROJECT-23244015
[Presentation] 完全非線形楕円型偏微分方程式のLp粘性解について2010
- Author(s)
  小池茂昭
- Organizer
  研究集会
- Place of Presentation
  京都大学
- Data Source
  KAKENHI-PROJECT-20340026
[Presentation] Weak Harnack inequality for fully nonlinear PDEs with unbounded ingredients2010
- Author(s)
  小池茂昭
- Organizer
  Positivity : A key to fully nonlinear equations Conference
- Place of Presentation
  Salerno (Italy)
- Year and Date
  2010-06-02
- Data Source
  KAKENHI-PROJECT-20340026
[Presentation] On the weak Harnack inequality for fully nonlinear PDEs with unbounded ingredients2010
- Author(s)
  小池茂昭
- Organizer
  研究集会
- Place of Presentation
  北海道大学
- Year and Date
  2010-07-21
- Data Source
  KAKENHI-PROJECT-20340026
[Presentation] 完全非線形楕円型偏微分方程式の$L^p$粘性解について1・22010
- Author(s)
  小池茂昭
- Organizer
  研究集会「微分方程式の総合的研究」
- Place of Presentation
  京都大学(招待講演)
- Data Source
  KAKENHI-PROJECT-20340019
[Presentation] Weak Harnack inequality for fully nonlinear PDFs with unbounded ingredients2010
- Author(s)
  小池茂昭
- Organizer
  Positivity : A key to fully nonlinear equations Conference
- Place of Presentation
  Salerno(イタリア)
- Year and Date
  2010-06-02
- Data Source
  KAKENHI-PROJECT-20340026
[Presentation] Weak Harnack inequality for fully nonlinear PDEs with unbounded ingredients2010
- Author(s)
  S. Koike
- Organizer
  Positivity: A key to fully nonlinear equations Conference
- Place of Presentation
  サレルノ, イタリア
- Year and Date
  2010-06-02
- Data Source
  KAKENHI-PROJECT-20340019
[Presentation] Weak Harnack inequality for fully nonlinear PDEs with unbounded ingredients2010
- Author(s)
  S.Koike
- Organizer
  Positivity : A key to fully nonlinear equations Conference
- Place of Presentation
  サレルノ,イタリア(招待講演)
- Year and Date
  2010-06-02
- Data Source
  KAKENHI-PROJECT-20340019
[Presentation] Lp粘性解の最近の進展について2010
- Author(s)
  小池茂昭
- Organizer
  第8回浜松偏微分方程式研究集会
- Place of Presentation
  静岡大学
- Year and Date
  2010-12-21
- Data Source
  KAKENHI-PROJECT-20340026
[Presentation] Weak Harnack inequality for Lp-viscosity solutions of fully nonlinear PDEs with unbounded ingredients2009
- Author(s)
  小池茂昭
- Organizer
  The Second Chile-Japan Workshop on Elliptic and Parabolic Equations
- Place of Presentation
  明治大学
- Year and Date
  2009-12-02
- Data Source
  KAKENHI-PROJECT-20340026
[Presentation] Weak Harnack inequality for Lp-viscosity solutions of fully nonlinear PDEs with unbounded ingredients2009
- Author(s)
  小池茂昭
- Organizer
  The Second Chile-Japan Workshop on Elliptic and Parabolic Equations
- Place of Presentation
  明治大学
- Year and Date
  2009-12-01
- Data Source
  KAKENHI-PROJECT-18204009
[Presentation] Weak Harnack inequality for fully nonlinear PDEs with superlinear growth terms in Du2009
- Author(s)
  S.Koike
- Organizer
  微分方程式の粘性解とその周辺
- Place of Presentation
  京都大学数理解析研究所
- Data Source
  KAKENHI-PROJECT-20340026
[Presentation] Comparison principle for fully nonlinear PDEs having |Du|^2 with variable coefficients2009
- Author(s)
  S. Koike
- Organizer
  解析ゼミ
- Place of Presentation
  埼玉大学
- Year and Date
  2009-02-24
- Data Source
  KAKENHI-PROJECT-18204009
[Presentation] Weak Harnack inequality for fully nonlinear PDEs with superlinear growth terms in Du2009
- Author(s)
  S.Koike
- Organizer
  微分方程式の粘性解とその周辺
- Place of Presentation
  京都大学数理解析研究所
- Year and Date
  2009-06-26
- Data Source
  KAKENHI-PROJECT-18204009
[Presentation] Weak Harnack inequality for Lp-viscosity solutions of fully nonlinear elliptic PDEs with unbounded ingredients2009
- Author(s)
  S.Koike
- Organizer
  The Second International Conference of Reaction Diffusion Systems and Viscosity Solution
- Place of Presentation
  Providence University(台湾)
- Data Source
  KAKENHI-PROJECT-20340026
[Presentation] Weak Harnack inequality for Lp-viscosity solutions of fully nonlinear elliptic PDEs with unbounded ingredients2009
- Author(s)
  小池茂昭
- Organizer
  The Second International Conference of Reaction Diffusion Systems and Viscosity Solution
- Place of Presentation
  Providence University (台湾)
- Year and Date
  2009-07-18
- Data Source
  KAKENHI-PROJECT-20340026
[Presentation] Weak Harnack inequality for fully nonlinear PDEs with superlinear growth terms in Du2009
- Author(s)
  小池茂昭
- Organizer
  研究集会
- Place of Presentation
  京都大学数理解析研究所
- Year and Date
  2009-06-26
- Data Source
  KAKENHI-PROJECT-20340026
[Presentation] Weak Harnack inequality for Lp-viscosity solutions of fully nonlinear elliptic PDEs with unbounded ingredients2009
- Author(s)
  S.Koike
- Organizer
  The Second International Conference of Reaction Diffusion Systems and Viscosity Solution
- Place of Presentation
  Providence University
- Year and Date
  2009-07-17
- Data Source
  KAKENHI-PROJECT-18204009
[Presentation] Weak Harnack inequality for Lp-viscosity solutions of fully nonlinear elliptic PDEs with unbounded ingredients2009
- Author(s)
  小池茂昭
- Organizer
  The Second International Conference of Reaction Diffusion Systems and Viscosity Solution.
- Place of Presentation
  Providence University・台湾
- Year and Date
  2009-07-18
- Data Source
  KAKENHI-PROJECT-20340026
[Presentation] 非有界係数をもつ完全非線形方程式のL^p粘性解の弱Harnack不等式2008
- Author(s)
  小池茂昭
- Organizer
  日本数学会
- Place of Presentation
  近畿大学
- Year and Date
  2008-03-26
- Data Source
  KAKENHI-PROJECT-17540188
[Presentation] Recent developments on the ABP maximum principle for fully nonlinear eliptic PDEs2008
- Author(s)
  小池茂昭
- Organizer
  第4回非線型の諸問題
- Place of Presentation
  佐賀大学
- Year and Date
  2008-09-22
- Data Source
  KAKENHI-PROJECT-20340026
[Presentation] 非有界係数をもつ完全非線形方程式のLp粘性解の弱Harnack不等式2008
- Author(s)
  S. Koike
- Organizer
  日本数学会年会
- Place of Presentation
  近畿大学
- Year and Date
  2008-03-26
- Data Source
  KAKENHI-PROJECT-18204009
[Presentation] Recent developments on the ABP maximum principle for fully nonlinear eliptic PDEs2008
- Author(s)
  S. Koike
- Organizer
  第4回非線型の諸問題
- Place of Presentation
  佐賀大学
- Year and Date
  2008-09-22
- Data Source
  KAKENHI-PROJECT-18204009
[Presentation] 非有界係数をもつ完全非線形方程式のLp粘性解の弱Harnack不等式2008
- Author(s)
  小池茂昭
- Organizer
  日本数学会年会
- Place of Presentation
  近畿大学
- Year and Date
  2008-03-26
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-16340032
[Presentation] 弱ハルナック不等式とその応用2008
- Author(s)
  S. Koike
- Organizer
  Mini-Workshop「KAM理論と粘性解」
- Place of Presentation
  福岡大学
- Year and Date
  2008-03-20
- Data Source
  KAKENHI-PROJECT-18204009
[Presentation] 完全非線形方程式の粘性解の弱ハルナック不等式2008
- Author(s)
  S. Koike
- Organizer
  熊本大学偏微分方程式セミナー
- Place of Presentation
  熊本大学
- Year and Date
  2008-03-08
- Data Source
  KAKENHI-PROJECT-18204009
[Presentation] A weak Harnack inequaity for Lp-viscosity solutions for a fully nonlinear equations with un-bounded coefficients2008
- Author(s)
  S. Koike
- Organizer
  Annual meeting of Japan Mathe-matical Society
- Place of Presentation
  Kinki Univ
- Year and Date
  2008-03-26
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-17540188
[Presentation] 数理ファイナンスに現われる変分不等式2008
- Author(s)
  小池茂昭
- Organizer
  ファイナンスのための数理ワークショップ
- Place of Presentation
  早稲田大学
- Year and Date
  2008-04-25
- Data Source
  KAKENHI-PROJECT-20340019
[Presentation] Weak Harnack inequality for fully nonlinear elliptic PDEs with unbounded coefficients2008
- Author(s)
  S. Koike
- Organizer
  非線形偏微分方程式とその応用
- Place of Presentation
  神戸大学
- Year and Date
  2008-01-10
- Data Source
  KAKENHI-PROJECT-18204009
[Presentation] 弱ハルナック不等式とextremal方程式の強解の存在2008
- Author(s)
  S. Koike
- Organizer
  応用数学セミナー
- Place of Presentation
  東北大学
- Year and Date
  2008-06-05
- Data Source
  KAKENHI-PROJECT-18204009
[Presentation] 非有界係数をもつ完全非線形方程式のL^P粘性解の弱Harnack不等式2008
- Author(s)
  小池茂昭
- Organizer
  日本数学会
- Place of Presentation
  近畿大学
- Year and Date
  2008-03-26
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-17540188
[Presentation] 数理ファイナンスに現われる変分不等式2008
- Author(s)
  S. Koike
- Organizer
  ファイナンスのための数理ワークショップ
- Place of Presentation
  早稲田大学
- Year and Date
  2008-04-25
- Data Source
  KAKENHI-PROJECT-18204009
[Presentation] 完全非線形方程式の粘性解の弱ハルナック不等式2008
- Author(s)
  S. Koike
- Organizer
  Sapporo Guest House Symposium on Mathematies, Final "Nonlinear Partial Differential Equations"
- Place of Presentation
  天神山ゲストハウス
- Year and Date
  2008-03-29
- Data Source
  KAKENHI-PROJECT-18204009
[Presentation] The ABP maximum principle for fully nonlinear equations with unbounded coefficients2007
- Author(s)
  S. Koike
- Organizer
  Analysis seminar
- Place of Presentation
  Univ.Texas,Austin
- Year and Date
  2007-09-10
- Data Source
  KAKENHI-PROJECT-18204009
[Presentation] Maximum principle and its applications for fully nonlinear PDEs2007
- Author(s)
  S. Koike
- Organizer
  Analysis seminar
- Place of Presentation
  Univ.Roma II
- Year and Date
  2007-10-09
- Data Source
  KAKENHI-PROJECT-18204009
[Presentation] Maximum principle for Lp-viscosity solutions of fully nonlinear equations with unbounded coefficients2007
- Author(s)
  S. Koike
- Organizer
  International Conference of Re-action Diffusion Systems and Viscosity Solutions
- Place of Presentation
  Providence University, Taiwan
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-16340032
[Presentation] The maximum principle for fully nonlinear PDEs with unbounded coefficients2007
- Author(s)
  S. Koike
- Organizer
  Analysis seminar
- Place of Presentation
  Univ. Roma I
- Year and Date
  2007-10-01
- Data Source
  KAKENHI-PROJECT-18204009
[Presentation] Maximum principle for Lp-viscosity solutions of fully nonlinear equations with unbounded coefficients2007
- Author(s)
  S. Koike
- Organizer
  International Conference of Reaction Diffusion Systems and Viscosity Solutions
- Place of Presentation
  Providence University台湾
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-16340032
[Presentation] 非有界係数をもつ完全非線形方程式の$L^p$粘性解の弱Harnack不等式2007
- Author(s)
  小池茂昭
- Organizer
  日本数学会
- Place of Presentation
  近畿大学
- Year and Date
  2007-03-26
- Data Source
  KAKENHI-PROJECT-16340032
[Presentation] Maximum principle for L^p-viscosity solutions of fully nonlinear equations with unbounded coefficients2007
- Author(s)
  S., Koike
- Organizer
  International Conference of Reaction Diffusion Systems and Viscosity Solutions
- Place of Presentation
  Providence University, Taiwan
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-16340025
[Presentation] Maximum principle for $L^p$-viscosity solutions of fully nonlinear equations with unbounded coefficients2007
- Author(s)
  Shigeaki Koike
- Organizer
  International Conference of Reaction Diffusion Systems and Viscosity Solutions
- Place of Presentation
  Providence University, 台湾
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-16340025
[Presentation] Maximum principle for fully nonlinear PDEs via the iterated comparison function method2006
- Author(s)
  S. Koike
- Organizer
  The Second International Work-shop on Variational Analysis and Partial Differential Equations
- Place of Presentation
  Erice, Italy
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-16340032
[Presentation] Maximum principle for Lp-viscosity solutionsof fully nonlinear elliptic/parabolic PDEs2006
- Author(s)
  S. Koike
- Organizer
  Italian-Japanese Meeting, Nonlinear Partial Differential Equations and Applications
- Place of Presentation
  Cortona(Italy)
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-16340032
[Presentation] Maximum principle for fully nonlinea PDEs via the iterated comparison function method2006
- Author(s)
  S. Koike
- Organizer
  The Second International Workshop on Variational Analysis and Partial Differential Equations
- Place of Presentation
  Erice(Sicily, Italy).
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-16340032
[Presentation] Maximum principle via the iterated comparison function method2006
- Author(s)
  S. Koike
- Organizer
  「微分方程式の粘性解理論とその展開」研究集会
- Place of Presentation
  京都大学・数理解析研究所
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-16340032
[Presentation] Perron-Ishii method for viscosity solutions2006
- Author(s)
  S. Koike
- Organizer
  Conference on Potential Theory and its Related Fields
- Place of Presentation
  RIMS, Kyoto
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-16340032
[Presentation] Maximum principle via the iterated comparison function method2006
- Author(s)
  S. Koike
- Organizer
  Conference on Viscosity Solution Theory of Differential Equations and its Developments
- Place of Presentation
  RIMS, Kyoto
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-16340032
[Presentation] Maximum principle for Lp-viscosity solutions of fully nonlinear elliptic/parabolic PDEs2006
- Author(s)
  S. Koike
- Organizer
  Italian-Japanese Meeting, Non-linear Partial Differential Equa-tions and Applications
- Place of Presentation
  Cortona, Italy
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-16340032
[Presentation] Perron-Ishii method for viscosity solutions2006
- Author(s)
  S. Koike
- Organizer
  「ポテンシャル論とその関連分野」研究集会
- Place of Presentation
  京都大学・数理解析研究所
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-16340032
[Presentation] Perron's method-revisited-2004
- Author(s)
  S. Koike
- Organizer
  「微分方程式の粘性解理論とその展開」研究集会
- Place of Presentation
  京都大学・数理解析研究所
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-16340032
[Presentation] Perron's method-revisited2004
- Author(s)
  S. Koike
- Organizer
  Conference on Viscosity Solution Theory of Differential Equations And its Developments
- Place of Presentation
  RIMS Kyoto
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-16340032

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KOIKE Shigeaki 小池 茂昭

小池 茂明 コイケ シゲアキ

Research Projects

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Evolution equations describing non-standard irreversible processesOngoing

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New developments of the theory of viscosity solutions and its applicationsOngoing

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

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偏微分方程式における漸近解析と形状解析の融合と革新Ongoing

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

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KOIKE Shigeaki 小池茂昭

小池茂明コイケシゲアキ