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MURATA Minoru  村田 實

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… Alternative Names

村田 實  ムラタ ミノル

村田 実

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Researcher Number 50087079
External Links
Affiliation (based on the past Project Information) *help 2012: 東京工業大学, 理工学研究科, 教授
2007 – 2011: Tokyo Institute of Technology, 大学院・理工学研究科, 教授
2008 – 2009: 東京工業大学, 理工学研究科, 教授
2006: 東京工業大学, 大学院理工学研究科, 教授
1998 – 2005: Graduate School of Science and Engineering, tokyo Institute ofTechnology, Professor, 大学院・理工学研究科, 教授 … More
2004: 東京工業大学, 理工学研究科, 教授
2000 – 2002: 東京工業大学, 理工学研究科, 教授
1994 – 2002: Tokyo Inst.Tech, Fac Sci, Prof, 理学部, 教授
1998: Tokyo Institute of Technology, Professor, 理工学研究科, 教授
1991 – 1993: 熊本大学, 理学部, 教授
1987 – 1989: 東京都立大学, 理学部, 教授 Less
Review Section/Research Field
Principal Investigator
解析学 / Basic analysis / Basic analysis
Except Principal Investigator
解析学 / General mathematics (including Probability theory/Statistical mathematics) / Basic analysis / Basic analysis / 代数学・幾何学 / Geometry / Global analysis / Algebra / General mathematics (including Probability theory/Statistical mathematics)
Keywords
Principal Investigator
マルチン境界 / 楕円型方程式 / 一意性 / 放物型方程式 / グリーン関数 / 正値解 / 楕円型偏微分方程式 / 放物型偏微分方程式 / Martin境界 / Martin boundary … More / マルチン核 / 正値解の構造 / 解析学 / 関数解析学 / 確率論 / 熱核 / 積分表示 / 半小摂動 / 非負値解 / 初期値問題 / 基本解 / 歪積 / ポテンシャル論 / positive solution / uniqueness / fundamental solution / シュレ-ディンガ-方程式 / 分離原理 / 特殊関数 / 多様体 / 容量 / ガウス過程 / 関数方程式論 / 解析・評価 / 小摂動性 / 拡散過程 / 漸近解析 / 楕円形方程式 / 関数方程式 / 内在的距離 / Harnactの不等式 / 内圧的距離 / Harnackの不等式 / Martin 境界 / 放物型偏徴分方程式 / Parabolic PDE / Elliptic PDE / Positive solution / Initial value problem / Unigueness / Intrinsi metric / Harnack inequality / 摂動論 / 楕円形偏微分方程式 / parabolic PDE / elliptic PDE / Cauchy problem / perturbation theory / 非一意性 / 解の一意性 / parabolic equation / elliptic equation / Green function / potential theory / 超ひも理論 / 場の理論における無限大 / バリオン数非保存 / 太陽ニュ-トリノ / 超新星爆発 / ニュ-トリノ振動 / 強いCPの破れ / アキシフォン / 二階楕円型方程式 / シュレーディンガー方程式 / 境界ハルナック原理 … More
Except Principal Investigator
放物型偏微分方程式 / 放物型方程式 / 調和関数 / Martin境界 / 変分問題 / 最適化問題 / ポテンシャル / 調和 / 相互作用のある拡散系 / 流体力学極限 / ランダムウォーク / 特異摂動問題 / 楕円型方程式 / Ginzburg-Landau equation / hydrodynamic limit / モノドロミー群 / スペクトル理論 / 散乱理論 / 偏微分方程式 / スピン / スーパー空間 / 無限次元拡散モデル / 標本リアプノフ指数 / 自由境界問題 / 非線形シュレディンガー方程式 / 熱核 / ギンツブルグ・ランダウ方程式 / 非線形楕円型方程式 / 境界Harnack原理 / 確率過程 / 一様領域 / Allen-Cahn方程式 / 調和解析 / 正値解 / 擬微分作用素 / Parabolic equation / 優調和 / 可積分性 / マルチン境界 / 安定性 / Ginzburg-Landau方程式 / Schrodinger作用素 / スペクトル / spectrum / elliptic equation / variational problem / singular perturbation problem / Dirichlet解 / 時間遅れをもつ方程式 / 境界値 / 漸近挙動 / 整関数 / ソボレフ関数 / 境界条件 / 放物型 / Kazhdan-Lusztig / 局所平衡 / スケーリング極限 / 相対エントロピー / 大偏差原理 / ギンツブルグ-ランダウ方程式 / スペクトル逆問題 / ヘレショウ流れ / Martin boundary / optimization problem / spectral gap / non-gradient system / 有限加法的測度 / A-過程 / 確率積分 / Girsanovの公式 / 接続問題 / ストークス現象 / 合流型超幾何関数 / ハルナック不等式 / ローレンツ多様体 / 数式処理 / 作用素環 / 非可換力学系 / C^*-力学系 / 不変状態 / エルゴード性 / 状態の可換性 / 数理物理 / 非線型偏微分方程式 / ハミルトン力学系 / 可積分系 / WKB法 / スーパー解析学 / シュレディンガー方程式 / フックス群 / ゼータ関数 / マルコフ写像 / 大域解析学 / 正値性 / 離散群 / 力学系 / 定常分布問題 / 無限次元線形マルコフ系 / マルコフ多粒子系 / ブラウン運動 / ランダム環境下のランダムウォーク / 拡散方程式 / 可積分シンプレクティック写像 / 1次元力学系 / エントロピー / 函数論 / タイヒミュラー空間 / 複素多様体 / ポテンシャル論 / 複素力学系 / Klein群 / 正則曲線 / 複素構造の変形 / マルチン核 / ハウスドルフ次元 / リーマン面 / モジュライ空間 / 非線形現象 / 数理生態学 / パターン形成 / 非線形光学 / 非線形楕円型偏微分方程式 / 反応拡散系 / ソボレフ空間 / コンパクト埋め込み定理 / 非線形楕円型境界値問題 / ギーラー・マインハルト系 / コンパクト埋め込み / 内在的超縮小性 / 固有値 / スペクトラルギャップ / 実解析 / 複素解析 / Riemann面 / フラクタル / グラフ / Harnack不等式 / 楕円型作用素の摂動 / Cauchy積分 / ヘルダー連続性 / 変動指数 / 平均曲率流 / Dirichlet問題 / Harnack原理 / フェイズフィールド法 / Sierpinski carpet / conformal dimension / 非線形不等式 / Klien群 / Random walk / 半線形楕円型方程式 / Rieszポテンシャル / 正則写像 / 極小尖細 / Markov chain / 放物型ハルナック不等式 / Orlicz空間 / 線型常微分方程式の大域理論 / フックス型方程式 / 大久保typeの方程式 / 既約制判定条件 / 有限モノドロミー群 / シュワルツ理論 / 位相力学系 / C^*環のクロス積 / 葉層化多様体 / 拡大写像 / 力学系の軌道構造 / フーリエ解析 / 関数空間 / 関数解析 / ウエーヴレット / シユレーデインガー方程式 / 波動作用素 / 退化楕円型作用素 / Harmonic Analysis / Partial Differential Equation / Fourier Analysis / Function Space / Positive Solution / Scattering Theory / 退化楕円形偏微分作用素 / フーリエ・マルチプライヤー / ハンケル変換 / ブロック関数 / テープリッツ作用素 / 接コーシー, リーマン方程式 / 退化楕円型偏微分方程式 / 接コーシー・リーマン方程式 / CR多様体 / マルチンゲ-ル / 掛谷最大関数 / 特殊関数 / 多重劣調和関数 / 楕円型偏微分作用素 / 放物型偏微分作用素 / 擬凸領域 / 直交関数系 / Singular elliptic partial differential operators / Fourier multiplier / Hankel operators / Bloch functions / Toeplitz operator / Tangential Cauchy-Riemann equation / harmonic functions / coarea公式 / 容量 / 細位相 / 極値的長さ / パーターベーション / キャパシティ / potential / harmonic / superharmonic / integrability / coarea fomula / capacity / fine topology / extremal length / ケーラー・アインシュタイン計量 / スカラー曲率 / サイバーグ・ウィッテン方程式 / Kaehler-Einstein metrics / Stability / Scalar curvature / 超伝導 / 半古典極限 / スペクトエル / Morrey空間 / ハミルトン・ヤコビ方程式 / 一意接続性定理 / Chern-Simons-Higgs理論 / スカラー曲率方程式 / Fefferman-Phong不等式 / 対称性 / Super conductivity / Sem-classical limit / Schrodinger operator / スーパー解析 / ファインマン問題 / ランダム行列理論 / 行列積分 / 無秩序系 / グラスマン変数 / パンルベ方程式 / 血秩序系 / パンルべ方程式 / 非可換代数 / 偏微分方程式系 / 超対称性 / ワイル方程式 / 量子化 / Dirac方程式 / Weyl方程式 / Superanalysis / Feynman's problem / Random Matrix Theory / matrix integral / disordered system / Grassmann variables / spin / Painleve equation / 分岐子 / 極限閉軌道 / ホモクリニック軌道 / リエナール方程式系 / オイラー型方程式 / 自己随伴型非線形微分方程式 / 熱方程式 / 非線型 / Carleson測度 / 調和測度 / Network / Markov過程 / separatrix / limit cycle / homoclinic orbit / Lie^^'nard system / Euler equation / self-adjoint equation / positive solution / 半単純リー群 / 最高ウェイト表現 / 次数 / データ対応 / べき零軌道 / 随伴多様体 / 概均質ベクトル空間 / 半単純リー郡 / テータ対応 / 最高ウエイト表現 / Giambelliの公式 / 重複度自由 / ベキ零軌道 / Selberg 積分 / Kazhdan-Lusztig予想 / ガンマ因子 / 保型形式 / semisimple / highest weight / degree / theta correspondence / nilpotent orbit / associated variety / prehomogeneous / local equilibrium / scaling limit / relative entropy / large deviation / 測度値拡散過程 / フレミング・ヴィオ過程 / 時間可逆性 / 相互作用のある拡散過程 / ランダムポテンシャル / 測度値確立過程 / 条件付極限定理 / 1次元拡散過程 / measure-valued diffusion / Fleming-Viot process / time reversibility / interacting diffusion / random potential / 磁場シュレヂンガー作用素 / Dirichlet第1固有値 / ガウス曲率流 / 磁場シュレディンガー作用素 / Calderon-zygmund性 / 自由境界 / Strum-Liouville作用素 / 楕円型作用素 / 磁場シュレディンガー / 固有値最小化問題 / 曲面の曲率流 / Kirchhoff方程式 / magnetic Schrodinger operator / Heat Kernel / Dirichlet first eigenvalue / nonlinear elliptic equation / Gauss curvature flow / spectral inverse problem / Denjoy領域 / John領域 / 凸集合 / 容量密度条件 / 多調和関数 / 関数微分方程式 / ボルテラ型微分方程式 / Denjoy domain / harmonic function / John domain / convex set / uniform domain / boundary Harnack principle / capacity density condition / カーン・ヒリアード・エネルギー / チャーンサイモン・ヒッグス理論 / ディリクレ第1固有値 / 逆スペクトル問題 / ヘレ-ショウの流れ / 楕円型境界値問題 / 非線形Schrodinger方程式 / 非線形散乱理論 / Cahn-Hilliardエネルギー / 放物型方程式の解の一意性 / 非線型波動方程式 / Cahn-Hilliard energy / Chern-Simons-Higgs theory / first Dirichlet eigenvalue / inverse spectrum problem / Hale-Shaw flow / スペクトルギヤップ / 非勾配系 / 揺動過程 / 流体力学 / スケール極限 / 排他過程 / Green関数 / equilibrium fluctuation / non-linear diffusion / zero-range process / exclusion process / principle of large deviations / fluctuation process / 数値計算 / 逆伝導度問題 / 多重安定パターン / 逆問題 / 非線形最適化問題 / 対称性の崩れ / シュレディンガー作用素 / 非線型楕円型方程式 / ウエイヴレット基底 / 境界値逆問題 / 双曲多様体 / 非線型シュレデインガー方程式 / nonlinear Schroedinger equation / numerical simulation / inverse conductivity problem / free boundary problem Less
  • Research Projects

    (37 results)
  • Research Products

    (76 results)
  • Co-Researchers

    (115 People)
  •  Study on the structure of nonnegative solutions for parabolic equations and the perturbation theory of elliptic operatorsPrincipal Investigator

    • Principal Investigator
      MURATA Minoru
    • Project Period (FY)
      2009 – 2011
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Basic analysis
    • Research Institution
      Tokyo Institute of Technology
  •  Research on potential problems from various aspects

    • Principal Investigator
      AIKAWA Hiroaki
    • Project Period (FY)
      2008 – 2012
    • Research Category
      Grant-in-Aid for Scientific Research (A)
    • Research Field
      Basic analysis
    • Research Institution
      Hokkaido University
  •  Study of the structure of solutions to variational problems, optimization problems, linear and nonlinear partial differential equations

    • Principal Investigator
      KURATA Kazuhiro
    • Project Period (FY)
      2006 – 2008
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Basic analysis
    • Research Institution
      Tokyo Metropolitan University
  •  Research on deformations of real and complex manifolds and variations of invariants

    • Principal Investigator
      SHIGA Hiroshige
    • Project Period (FY)
      2005 – 2008
    • Research Category
      Grant-in-Aid for Scientific Research (A)
    • Research Field
      Basic analysis
    • Research Institution
      Tokyo Institute of Technology
  •  Asymptotic analysis of heat kernels and Green functions and its applicationsPrincipal Investigator

    • Principal Investigator
      MURATA Minoru
    • Project Period (FY)
      2005 – 2008
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Basic analysis
    • Research Institution
      Tokyo Institute of Technology
  •  PROBLEMS ON THE HYDRODYNAMIC LIMIT AND RELATED TOPICS

    • Principal Investigator
      UCHIYAMA Kohei
    • Project Period (FY)
      2003 – 2005
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      General mathematics (including Probability theory/Statistical mathematics)
    • Research Institution
      Tokyo Institute of Technology
  •  Study of the structure of solutions to Variational Problems, Inverse Problems and Partial Differential Equations

    • Principal Investigator
      KURATA Kazuhiro
    • Project Period (FY)
      2003 – 2005
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Basic analysis
    • Research Institution
      Tokyo Metropolitan University
  •  A synthetic study of positive solutions to elliptic and parabolic partial differential equationsPrincipal Investigator

    • Principal Investigator
      MURATA Minoru
    • Project Period (FY)
      2001 – 2004
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Basic analysis
    • Research Institution
      TOKYO INSTITUTE OF TECHNOLOGY
  •  Study of Solutions to Partial Differential Equations, Variational Problems and Inverse Problems

    • Principal Investigator
      KURATA Kazuhiro
    • Project Period (FY)
      2001 – 2002
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Basic analysis
    • Research Institution
      TOKYO METROPOLITAN UNIVERSITY
  •  Interdisciplinary research on complicated sets related to functional equations

    • Principal Investigator
      AKIKAWA Hiroaki
    • Project Period (FY)
      2000 – 2002
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Basic analysis
    • Research Institution
      Shimane University
  •  Interdisciplinary research on potential analysis

    • Principal Investigator
      SUGIE Jitsuro
    • Project Period (FY)
      1999 – 2002
    • Research Category
      Grant-in-Aid for Scientific Research (A)
    • Research Field
      Basic analysis
    • Research Institution
      Shimane University
  •  Geometric Representation theory of reductive group

    • Principal Investigator
      OCHIAI Hiroyuki
    • Project Period (FY)
      1999 – 2001
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Algebra
    • Research Institution
      Tokyo Institute of Technology
      Kyushu University
  •  Problems of Hydrodynamic Limits and Related Subjects

    • Principal Investigator
      UCHIYAMA Kohei
    • Project Period (FY)
      1999 – 2001
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      General mathematics (including Probability theory/Statistical mathematics)
    • Research Institution
      Tokyo Institute of Technology
  •  A versatile study of positive solutions to parabolic and elliptic partial differential equationsPrincipal Investigator

    • Principal Investigator
      MURATA Minoru
    • Project Period (FY)
      1999 – 2000
    • Research Category
      Grant-in-Aid for Scientific Research (B).
    • Research Field
      Basic analysis
    • Research Institution
      Tokyo Institute of Technology
  •  Analysis of Infinite-dimensional Markovian Models

    • Principal Investigator
      SHIGA Tokuzo
    • Project Period (FY)
      1999 – 2000
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      General mathematics (including Probability theory/Statistical mathematics)
    • Research Institution
      Tokyo Institute of Technology
  •  Study of Solutions to Partial Differential Equations, Variational problems and Inverse. Problems

    • Principal Investigator
      KURATA Kazuhiro
    • Project Period (FY)
      1999 – 2000
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Basic analysis
    • Research Institution
      TOKYO METROPOLITAN UNIVERSITY
  •  System of partial differential equations and non-commutative analysis

    • Principal Investigator
      INOUE Atsushi
    • Project Period (FY)
      1998 – 2000
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Global analysis
    • Research Institution
      Tokyo Institute of Technology
  •  Structure of positive solutions to second order elliptic and parabolic partial differential equationsPrincipal Investigator

    • Principal Investigator
      MURATA Minoru
    • Project Period (FY)
      1997 – 1998
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      解析学
    • Research Institution
      TOKYO INSTITUTE OF TECHNOLOGY
  •  Potential theoretic research on elliptic differential equations

    • Principal Investigator
      AIKAWA H.
    • Project Period (FY)
      1997 – 1998
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      解析学
    • Research Institution
      Shimane University
  •  Uniformization for smooth manifolds

    • Principal Investigator
      FUKAKI Akito
    • Project Period (FY)
      1997 – 1998
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Geometry
    • Research Institution
      Tokyo Institute of Technology
  •  Study of Harmonic Analysis, Solutions to Variational Problems and Partial Differential Equa

    • Principal Investigator
      KURATA Kazuhiro
    • Project Period (FY)
      1997 – 1998
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      解析学
    • Research Institution
      TOKYO METROPOLITAN UNIVERSITY
  •  数理物理・数理生物のモデルに関する確率解析

    • Principal Investigator
      志賀 徳造
    • Project Period (FY)
      1996
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      General mathematics (including Probability theory/Statistical mathematics)
    • Research Institution
      Tokyo Institute of Technology
  •  力学系の解析と関連する幾何学

    • Principal Investigator
      伊藤 秀一
    • Project Period (FY)
      1996
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      解析学
    • Research Institution
      Tokyo Institute of Technology
  •  Study on harmonic analysis, partial differential equations and complex analysis

    • Principal Investigator
      ARAI Hitoshi
    • Project Period (FY)
      1996 – 1998
    • Research Category
      Grant-in-Aid for Scientific Research (A)
    • Research Field
      解析学
    • Research Institution
      Tohoku University
  •  大域解析学の総合的研究

    • Principal Investigator
      井上 淳
    • Project Period (FY)
      1995
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      解析学
    • Research Institution
      Tokyo Institute of Technology
  •  無限次元拡散モデルの解析

    • Principal Investigator
      SHIGA Tokuzo
    • Project Period (FY)
      1995
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      General mathematics (including Probability theory/Statistical mathematics)
    • Research Institution
      Tokyo Institute of Technology
  •  可積分ハミルトン系の特異点と摂動問題

    • Principal Investigator
      ITO Hidekazu
    • Project Period (FY)
      1994
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      解析学
    • Research Institution
      Tokyo Institute of Technology
  •  スペクトル・散乱理論の総合的研究

    • Principal Investigator
      YAJIMA Kenji
    • Project Period (FY)
      1993
    • Research Category
      Grant-in-Aid for Co-operative Research (A)
    • Research Field
      解析学
    • Research Institution
      The University of Tokyo
  •  楕円型・放物型偏微分方程式の多面的研究Principal Investigator

    • Principal Investigator
      村田 實
    • Project Period (FY)
      1993
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      解析学
    • Research Institution
      Kumamoto University
  •  微分方程式の解の構造の研究

    • Principal Investigator
      河野 實彦
    • Project Period (FY)
      1992
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      解析学
    • Research Institution
      Kumamoto University
  •  位相代数上の調和解析

    • Principal Investigator
      岡 幸正
    • Project Period (FY)
      1992
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      解析学
    • Research Institution
      Kumamoto University
  •  CO-operative Research on Functional Analysis, Real Analisis, and Partial Diffential Equations

    • Principal Investigator
      KURODA Shige
    • Project Period (FY)
      1992 – 1994
    • Research Category
      Grant-in-Aid for Co-operative Research (A)
    • Research Field
      解析学
    • Research Institution
      Gakushuin University
  •  2階楕円型方程式の正値解の構造Principal Investigator

    • Principal Investigator
      村田 實
    • Project Period (FY)
      1991
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      解析学
    • Research Institution
      Kumamoto University
  •  発展方程式の確率論による研究

    • Principal Investigator
      西岡 國雄
    • Project Period (FY)
      1989
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      General mathematics (including Probability theory/Statistical mathematics)
    • Research Institution
      Tokyo Metropolitan University
  •  曲面の特異点の回りでの幾何学

    • Principal Investigator
      佐々井 崇雄
    • Project Period (FY)
      1988
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      代数学・幾何学
    • Research Institution
      Tokyo Metropolitan University
  •  C^*環論と位相力学系の相互作用の研究

    • Principal Investigator
      富山 淳
    • Project Period (FY)
      1988
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      解析学
    • Research Institution
      Tokyo Metropolitan University
  •  超ひも理論と関連する高次元統一理論Principal Investigator

    • Principal Investigator
      吉村 太彦, 村田 實
    • Project Period (FY)
      1987 – 1989
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      解析学
    • Research Institution
      Tokyo Metropolitan University
      Tohoku University

All 2012 2011 2010 2009 2008 2007 2006 2005 2003 2002 2001 Other

All Journal Article Presentation Book

  • [Book] 楕円型・放物型偏微分方程式2006

    • Author(s)
      村田實, 倉田和浩
    • Total Pages
      258
    • Publisher
      岩波書店
    • Data Source
      KAKENHI-PROJECT-18540191
  • [Book] 楕円型・放物型偏微分方程式2006

    • Author(s)
      村田實
    • Publisher
      岩波書店
    • Data Source
      KAKENHI-PROJECT-17204010
  • [Book] 楕円型・放物型偏微分方程式2006

    • Author(s)
      村田實、倉田和浩
    • Publisher
      岩波書店
    • Data Source
      KAKENHI-PROJECT-17340034
  • [Book] 楕円形・放物型偏微分方程式2006

    • Author(s)
      村田實, 倉田和浩
    • Total Pages
      258
    • Publisher
      岩波書店
    • Data Source
      KAKENHI-PROJECT-17340034
  • [Journal Article] Long time asymptotic expansions of heat kernels for perturbed Hill operators2012

    • Author(s)
      Minoru Murata
    • Journal Title

      Asymptotic Analysis

      Volume: 79 Pages: 161-187

    • DOI

      10.3233/asy-2012-1091

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-20244007
  • [Journal Article] Nonnegative solutions of the heat equation on rotationally symmetric Riemannian manifolds and semismall perturbations2011

    • Author(s)
      M. Murata
    • Journal Title

      Rev.Mat.Iberoam.

      Volume: 27 Pages: 885-907

    • DOI

      10.4171/rmi/656

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-20244007, KAKENHI-PROJECT-21540164
  • [Journal Article] Nonnegative solutions of the heat equation on rotationally symmetric Riemannian manifolds and semi small perturbations2011

    • Author(s)
      Minoru Murata
    • Journal Title

      Rev. Mat. Iberoam

      Volume: 27巻 Pages: 885-907

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-21540164
  • [Journal Article] Parabolic Martin boundaries and asymptotic formulas of heat kernels for one-dimensional elliptic operators with periodic coefficients2010

    • Author(s)
      Minoru Murata and Tetsuo Tsuchida
    • Journal Title

      Potential Anal

      Volume: 33巻 Pages: 387-414

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-21540164
  • [Journal Article] Parabolic Martin boundaries and asymptotic formulas of heat kernels for one-dimensional elliptic operators with periodic coefficients2010

    • Author(s)
      M.Murata, T.Tsuchida
    • Journal Title

      Potential Anal.

      Volume: 62 Pages: 269-286

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-20244007
  • [Journal Article] Parabolic Martin boundaries and asymptotic formulas of heat kernels for one-dimensional elliptic operators with periodic coefficients2010

    • Author(s)
      Minoru Murata, Tetsuo Tsuchida
    • Journal Title

      Potential Analysis

      Volume: 33 Pages: 387-414

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-21540164
  • [Journal Article] Semismall perturbations, semi-intrinsic ultracontractivity, and integral, representations of nonnegative solutions for parabolic equations,2009

    • Author(s)
      Minoru Murata
    • Journal Title

      Journal of Functional Analysis 257

      Pages: 1799-1827

    • NAID

      120006581988

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-21540164
  • [Journal Article] Semismall perturbations, semi-intrinsic ultracontractivity, and integral representations of nonnegative solutions for parabolic equations,J2009

    • Author(s)
      M. Murata
    • Journal Title

      Func.Anal

      Volume: 257 Pages: 1799-1827

    • DOI

      10.1016/j.jfa.2009.05.028

    • Data Source
      KAKENHI-PROJECT-20244007
  • [Journal Article] Semismall perturbations, semi-intrinsic ultracontractivity, and integral representations of nonnegative solutions for parabolic equations2009

    • Author(s)
      M.Murata
    • Journal Title

      J.Func.Anal. 257

      Pages: 1799-1827

    • NAID

      120006581988

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-20244007
  • [Journal Article] Semismall perturbations2009

    • Author(s)
      Minoru Murata and Pedro J. Mendez-Hernandez
    • Journal Title

      semi-intrinsic ultracontractivity, and integral representations of nonnegative solutions for parabolic equations, J. Func. Anal

      Volume: 257巻 Pages: 1799-1827

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-21540164
  • [Journal Article] Semismall perturbations, semi-intrinsic ultracontractivity, and integral representations of nonnegative solutions for parabolic equations2009

    • Author(s)
      M. Murata
    • Journal Title

      J. Func. Anal. 257

      Pages: 1799-1827

    • NAID

      120006581988

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-20244007
  • [Journal Article] (with Tetsuo Tsuchida)Asymptotics of Green functions and the limiting absorption principle for elliptic operators with periodic coefficients2007

    • Author(s)
      Minoru Murata
    • Journal Title

      J. Math.Kyoto Univ. (印刷中)

    • Data Source
      KAKENHI-PROJECT-18540191
  • [Journal Article] Integral representations of nonnegative solutions for parabolic equations and elliptic Martin boundaries2007

    • Author(s)
      Minoru Murata
    • Journal Title

      J. Func. Anal. Vol.245

      Pages: 177-212

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18540191
  • [Journal Article] Integral representations of nonnegative solutions for parabolic equations and elliptic Martin boundaries2007

    • Author(s)
      Minoru Murata
    • Journal Title

      J. Func. Anal. 245

      Pages: 177-212

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-17204010
  • [Journal Article] Integral representations of nonnegative solutions for parabolic equations and elliptic Martin boundaries.2007

    • Author(s)
      Minoru Murata
    • Journal Title

      J. Func. Anal. 245

      Pages: 177-212

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18540191
  • [Journal Article] Integral representations of nonnegative solutions for parabolic equations and elliptic Martin boundaries2007

    • Author(s)
      M. Murata
    • Journal Title

      J. Func. Anal 245

      Pages: 177-212

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-17204010
  • [Journal Article] Integral representations of nonnegative solutions for parabolic equations and elliptic Martin boundaries2007

    • Author(s)
      Minoru Murata
    • Journal Title

      J. Func. Anal. 245

      Pages: 177-212

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-17340034
  • [Journal Article] Integral representations of nonnegative solutions for parabolic equations and elliptic Martin boundaries2007

    • Author(s)
      村田實
    • Journal Title

      J. Functional Anal 245

      Pages: 177-212

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-17340034
  • [Journal Article] Representations of nonnegative solutions for parabolic equations, Advanced Studies in Pure Mathematics2006

    • Author(s)
      Minoru Murata
    • Journal Title

      Vol.44

      Pages: 283-289

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18540191
  • [Journal Article] Representations of nonnegative solutions for parabolic equations2006

    • Author(s)
      M.Murata
    • Journal Title

      Advanced Studies in Pure Mathematics 44

      Pages: 283-289

    • Data Source
      KAKENHI-PROJECT-17204010
  • [Journal Article] Representations of nonnegative solutions for parabolic equations2006

    • Author(s)
      Minoru Murata
    • Journal Title

      Advanced Studies in Pure Mathematics 44

      Pages: 283-289

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-17204010
  • [Journal Article] Asymptotics of Green functions and the limiting absorption principle for elliptic operators with periodic coefficients2006

    • Author(s)
      村田實, 土田哲生
    • Journal Title

      J. Math. Kyoto Univ 76

      Pages: 713-754

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-17340034
  • [Journal Article] Representations of nonnegative solutions for parabolic equations2006

    • Author(s)
      Minoru Murata
    • Journal Title

      Advanced Studies in Pure Mathematics 44

      Pages: 283-289

    • Data Source
      KAKENHI-PROJECT-17340034
  • [Journal Article] Representations of nonnegative solutions for parabolic equations2006

    • Author(s)
      村田實
    • Journal Title

      Advanced Studies in Pure Mathematics 44

      Pages: 283-289

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-17340034
  • [Journal Article] Representationsofnonnegativesolutionsforparabolicequations2006

    • Author(s)
      Minoru Murata
    • Journal Title

      Advanced Studies in Pure Mathematics 44

      Pages: 283-289

    • Data Source
      KAKENHI-PROJECT-18540191
  • [Journal Article] Asymptotics of Green functions and the limiting absorption principle for elliptic operators with periodic coefficients2006

    • Author(s)
      Minoru Murata, (with Tetsuo Tsuchida)
    • Journal Title

      J. Math. Kyoto Univ. 46

      Pages: 713-754

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-17204010
  • [Journal Article] Uniqueness theorems for parabolic equations and Martin boundaries for elliptic equations in skew product form2005

    • Author(s)
      村田實
    • Journal Title

      J. Math. Soc. Japan 57

      Pages: 1-27

    • NAID

      10016419921

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-17340034
  • [Journal Article] Uniqueness theorems for parabolic equations and Martin BOUNDARY for elliptic equations in skew product form2005

    • Author(s)
      M.Murata
    • Journal Title

      J.Math.Soc.Japan 57

      Pages: 1-27

    • NAID

      10016419921

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-15540109
  • [Journal Article] Uniqueness theorems for parabolic equations and Martin boundaries for elliptic equations in skew product form2005

    • Author(s)
      Minoru Murata
    • Journal Title

      J. Math. Soc. Japan 57

      Pages: 1-27

    • NAID

      10016419921

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-15540177
  • [Journal Article] Uniqueness theorems for parabolic equations and Martin boundaries for elliptic equations in skew product form2005

    • Author(s)
      Minoru Murata
    • Journal Title

      J. Math. Soc. Japan 57

      Pages: 1-27

    • NAID

      10016419921

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-17204010
  • [Journal Article] Uniqueness theorems for parabolic equations and Martin boundaries for elliptic equations in skew product form2005

    • Author(s)
      Minoru Murata
    • Journal Title

      J.Math.Soc.Japan 57

      Pages: 1-27

    • NAID

      10016419921

    • Data Source
      KAKENHI-PROJECT-15540177
  • [Journal Article] Uniqueness theorems for parabolic equations and Martin boundaries for elliptic eq.2005

    • Author(s)
      M.Murata
    • Journal Title

      J.Math.Soc.Japan 57

      Pages: 1-27

    • Data Source
      KAKENHI-PROJECT-15540109
  • [Journal Article] Uniqueness theorems for parabolic equations and Martin boundaries for elliptic equations in skew product form2005

    • Author(s)
      M.Murata
    • Journal Title

      J.Math.Soc.Japan 57・2

      Pages: 1-27

    • NAID

      10016419921

    • Data Source
      KAKENHI-PROJECT-17340034
  • [Journal Article] Uniqueness theorems for parabolic equations and Martin BOUNDARY for elliptic equations in skew producl form2005

    • Author(s)
      M.MURATA
    • Journal Title

      J.Math.SOC.Japan 57

      Pages: 1-27

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-15540109
  • [Journal Article] Uniqueness theorems for parabolic equations and Martin boundaries for elliptic equations in skew product form2005

    • Author(s)
      Minoru Murata
    • Journal Title

      J.Math.Soc. Japan 57

      Pages: 1-27

    • NAID

      10016419921

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-15540177
  • [Journal Article] Uniqueness theorems for parabolic equations and Martin boundaries for elliptic equations in skew products form2005

    • Author(s)
      M.Murata
    • Journal Title

      J. Math. Soc. Japan 57・2

      Pages: 1-27

    • NAID

      10016419921

    • Data Source
      KAKENHI-PROJECT-13440042
  • [Journal Article] Uniqueness theorems for parabolic equations and Martin boundaries for elliptic equations in skew product form2005

    • Author(s)
      M.Murata
    • Journal Title

      J.Math.Soc.Japan 57

      Pages: 1-27

    • NAID

      10016419921

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-13440042
  • [Journal Article] Asymptotics of Green functions and Martin boundaries for elliptic operators with periodic coefficients(with Tetsuo Tsuchida)2003

    • Author(s)
      Minoru Murata
    • Journal Title

      J. Diff. Eq. 195

      Pages: 82-118

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-15540177
  • [Journal Article] Asymptotics of Green functions and Martin boundaries for elliptic operators with periodic coefficients2003

    • Author(s)
      Minoru Murata, Tetsuo Tsuchida
    • Journal Title

      J.Diff.Eq. 195

      Pages: 82-118

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-15540177
  • [Journal Article] Asymptotics of Green functions and Martin boundaries for elliptic operators with periodic coefficients2003

    • Author(s)
      M.Murata
    • Journal Title

      J.Differential Eguations 195

      Pages: 82-118

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-13440042
  • [Journal Article] Heat escape2003

    • Author(s)
      Minoru Murata
    • Journal Title

      Math.Ann. 327

      Pages: 203-226

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-15540177
  • [Journal Article] Heat escape2003

    • Author(s)
      Minoru Murata
    • Journal Title

      Math. Ann. 327

      Pages: 203-226

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-15540177
  • [Journal Article] Asymptotics of Green functions and Martin boundaries for elliptic operators with periodic coefficients2003

    • Author(s)
      M.Murata, Tetsuo Tsuchida
    • Journal Title

      J.Diff.Eq. 195

      Pages: 82-118

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-13440042
  • [Journal Article] Heat escape2003

    • Author(s)
      M.Murata
    • Journal Title

      Math.Ann. 327

      Pages: 203-226

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-15540109
  • [Journal Article] Heat escape2003

    • Author(s)
      M.Murata
    • Journal Title

      Math.Ann. 327

      Pages: 203-226

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-13440042
  • [Journal Article] Heat escape2003

    • Author(s)
      M.MURATA
    • Journal Title

      MATH.ANN. 327

      Pages: 203-226

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-15540109
  • [Journal Article] Martin boundaries of elliptic skew products, semismall perturbations, and fundamental solutions of parabolic equations2002

    • Author(s)
      M.Murata
    • Journal Title

      J.Func.Anal. 194

      Pages: 53-141

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-13440042
  • [Journal Article] Martin boundaries of elliptic skew products, semismall perturbations, and fundamental solutions of parabolic equations.2002

    • Author(s)
      M.Murata
    • Journal Title

      J.Functional Anal. 194

      Pages: 53-141

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-13440042
  • [Journal Article] Uniqueness of nonnegative solutions of the Cauchy problem for parabolic equations on manifolds or domains2001

    • Author(s)
      M.Murata
    • Journal Title

      Ann.Scuola Norm.Sup.Pisa 30

      Pages: 171-223

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-13440042
  • [Journal Article] Uniqueness of nonnegative solutions of the Cauchy problem for parabolic equations on manifolds or domains2001

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

      Ann.Scuola Normale Sup.Pisa 30

      Pages: 171-223

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-13440042
  • [Journal Article] Asymptotics of Green functions and limiting absorption principle for elliptic operators with periodic coefficients

    • Author(s)
      Minoru Murata, Tetsuo Tsuchida
    • Journal Title

      J. Math. Kyoto Univ. (掲載決定)

    • Data Source
      KAKENHI-PROJECT-17340034
  • [Presentation] 歪積型楕円形方程式の正値解の構造2011

    • Author(s)
      村田賓
    • Organizer
      2011年度ポテンシャル論研究集会
    • Place of Presentation
      岐阜大学
    • Year and Date
      2011-11-03
    • Data Source
      KAKENHI-PROJECT-21540164
  • [Presentation] 歪積型楕円型方程式の正値解の構造2011

    • Author(s)
      村田實
    • Organizer
      岐阜大学研究集会「2011年度ポテンシャル論研究集会」
    • Year and Date
      2011-11-03
    • Data Source
      KAKENHI-PROJECT-21540164
  • [Presentation] Nonnegative solutions of the heat equation on rotationally symmetric Riemannian manifolds and semismall perturbations2010

    • Author(s)
      村田實
    • Organizer
      ポテンシャル論研究集会
    • Place of Presentation
      大分大学
    • Year and Date
      2010-11-06
    • Data Source
      KAKENHI-PROJECT-20244007
  • [Presentation] Nonnegative solutions of the heat equation on rotationally symmetric Riemannian manifolds and semismall perturbations2010

    • Author(s)
      Minoru Murata
    • Organizer
      ポテンシャル論研究集会
    • Place of Presentation
      大分大学
    • Year and Date
      2010-11-06
    • Data Source
      KAKENHI-PROJECT-21540164
  • [Presentation] Nonnegative solutions of the heat equation on rotationally symmetric Riemannian manifolds and semismall perturbations2010

    • Author(s)
      村田實
    • Organizer
      研究集会「ポテンシャル論研究集会」
    • Place of Presentation
      大分大学
    • Year and Date
      2010-11-06
    • Data Source
      KAKENHI-PROJECT-21540164
  • [Presentation] Structure of nonnegative solutions for parabolic equations and perturbation theory for elliptic operators2009

    • Author(s)
      村田實
    • Organizer
      研究集会「Potential Theory and Related Fields」
    • Place of Presentation
      京都大学数理解析研究所
    • Year and Date
      2009-02-17
    • Data Source
      KAKENHI-PROJECT-17340034
  • [Presentation] Structure of nonnegative solutions for parabolic equations and perturbation theory for elliptic operators2009

    • Author(s)
      Minoru Murata
    • Organizer
      数理解析研究所研究集会「Potential Theory and Related Fields」
    • Place of Presentation
      京都大学 数理解析研究所
    • Year and Date
      2009-02-17
    • Data Source
      KAKENHI-PROJECT-17340034
  • [Presentation] Structure of nonnegative solutions for parabolic equations and perturbation theory for elliptic operators2009

    • Author(s)
      Minoru Murata
    • Organizer
      The XXIst Rolf Nevanlinna Colloquium
    • Place of Presentation
      京都大学
    • Year and Date
      2009-09-07
    • Data Source
      KAKENHI-PROJECT-20244007
  • [Presentation] Structure of nonnegative solutions for parabolic equations and perturbation theory for elliptic operators2009

    • Author(s)
      Minoru Murata
    • Organizer
      Potential Theory and Related Fields
    • Place of Presentation
      数理解析研究所
    • Year and Date
      2009-02-17
    • Data Source
      KAKENHI-PROJECT-17204010
  • [Presentation] Structure of nonnegative solutions for parabolic equations and perturbation theory for elliptic operators2009

    • Author(s)
      Minoru Murata
    • Organizer
      ソボレフ不等式とその周辺
    • Place of Presentation
      東北大学
    • Year and Date
      2009-03-23
    • Data Source
      KAKENHI-PROJECT-17204010
  • [Presentation] Structure of nonnegative solutions for parabolic equations and perturbation theory for elliptic operators2009

    • Author(s)
      村田實
    • Organizer
      国際会議「The XXI Rolf Nevanlinna Colloquium」
    • Place of Presentation
      京都大学
    • Year and Date
      2009-09-07
    • Data Source
      KAKENHI-PROJECT-21540164
  • [Presentation] Structure of nonnegative solutions for parabolic equations and perturbation theory for elliptic operators2009

    • Author(s)
      Minoru Murata
    • Organizer
      研究集会「Potential Theory and Related Fields」
    • Place of Presentation
      数理解析研究所
    • Year and Date
      2009-02-17
    • Data Source
      KAKENHI-PROJECT-18540191
  • [Presentation] Structure of nonnegative solutions for parabolic equations and perturbation theory for elliptic operators2009

    • Author(s)
      Minoru Murata
    • Organizer
      The XXIst Rolf Nevanlinna Colloquium
    • Place of Presentation
      京都大学
    • Year and Date
      2009-09-07
    • Data Source
      KAKENHI-PROJECT-21540164
  • [Presentation] Semismall perturbations, semi-intrinsic ultracontractivity, and integral representations of nonnegative solutions for parabolic equations2008

    • Author(s)
      Minoru Murata
    • Organizer
      for parabolic equations, ポテンシャル論研究集会
    • Place of Presentation
      秋田市カレッジプラザ
    • Year and Date
      2008-11-02
    • Data Source
      KAKENHI-PROJECT-17204010
  • [Presentation] Structure of nonnegative solutions for parabolic equations and perturbation theory for elliptic operators2008

    • Author(s)
      Minoru Murata
    • Organizer
      研究集会「マルコフ過程とデリクレ形式に関する話題」
    • Place of Presentation
      熊本大学
    • Year and Date
      2008-02-17
    • Data Source
      KAKENHI-PROJECT-18540191
  • [Presentation] Structure of nonnegative solutions for parabolic equations and perturbation theory for elliptic operators2008

    • Author(s)
      Minoru Murata
    • Organizer
      マルコフ過程とデリクレ形式に関する話題
    • Place of Presentation
      熊本大学
    • Year and Date
      2008-02-17
    • Data Source
      KAKENHI-PROJECT-17204010
  • [Presentation] Structure of nonnegative solutions for parabolic equations and perturbation theory for elliptic operators2008

    • Author(s)
      村田實
    • Organizer
      研究集会「マルコフ過程とデリクレ形式に関する話題」
    • Place of Presentation
      熊本大学
    • Year and Date
      2008-02-17
    • Data Source
      KAKENHI-PROJECT-17204010
  • [Presentation] Structure of nonnegative solutions for parabolic equations and perturbation theory for elliptic operators2007

    • Author(s)
      Minoru Murata
    • Organizer
      マルコフ過程とデリクレ形式に関する話題
    • Place of Presentation
      熊本大学
    • Year and Date
      2007-02-17
    • Data Source
      KAKENHI-PROJECT-17340034
  • [Presentation] 摂動論と放物型方程式の非負値解2007

    • Author(s)
      Minoru Murata
    • Organizer
      研究集会「微分方程式と数理物理」
    • Place of Presentation
      ウエルハートピア萩
    • Year and Date
      2007-11-05
    • Data Source
      KAKENHI-PROJECT-18540191
  • [Presentation] 摂動論と放物型方程式の非負値解2007

    • Author(s)
      村田實
    • Organizer
      研究集会「微分方程式と数理物理」
    • Place of Presentation
      ウエルハートピア萩
    • Year and Date
      2007-11-05
    • Data Source
      KAKENHI-PROJECT-17204010
  • [Presentation] Integral representations of nonnegative solutions for parabolic equations and elliptic Martin boundaries2006

    • Author(s)
      村田實
    • Organizer
      研究集会「Recent Topics of Differential Equations」
    • Place of Presentation
      群馬大学東京オフィス
    • Year and Date
      2006-10-21
    • Data Source
      KAKENHI-PROJECT-17340034
  • 1.  AIKAWA Hiroaki (20137889)
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