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Uchida Motoo  内田 素夫

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UCHIDA Motoo  内田 素夫

内田 素夫  ウチダ モトオ

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Researcher Number 10221805
Other IDs
Affiliation (Current) 2025: 大阪大学, 大学院理学研究科, 准教授
Affiliation (based on the past Project Information) *help 2016: 大阪大学, 理学研究科, 准教授
2011 – 2015: 大阪大学, 理学(系)研究科(研究院), 准教授
2013: 大阪大学, 理学研究科, 准教授
2007: Osaka University, Graduate School of Science Depantment of Mathematics, Associate Professor
2005 – 2006: 大阪大学, 理学研究科, 助教授 … More
2005: 大阪大学, 大学院理学研究科, 助教授
1998 – 2005: 大阪大学, 大学院・理学研究科, 助教授
1996 – 1997: 大阪大学, 大学院・理学研究科, 講師
1994 – 1995: 大阪大学, 理学部, 講師
1993: 大阪大学, 教養部, 講師
1991: 大阪大学, 教養部, 講師
1990: 神戸大学, 大学院自然科学研究科, 助手
1990: 神戸大学, 自然科学研究科, 助手 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 / Algebra / 代数学・幾何学
Keywords
Principal Investigator
境界値問題 / 超局所解析 / D加群 / ホロノミー系 / 代数解析 / ベルグマン核 / microlocal analysis / boundary value problem / D Modules / 超局所オイラー類 … More / 指数定理 / Schrodinger equation / Lacuna / D-module / Boundary value problem / マイクロ函数 / ラキュナ / 基本解 / 解複体 / シュレーディンガー方程式 / lacuna / D-加群 / 層 / D加群 / Bergman核 … More
Except Principal Investigator
擬微分作用素 / 超局所解析 / 平滑化作用 / ウェーブレット / ポテンシャル / 表象 / ウィーナー空間における停留位相の方法 / 確率振動積分 / シュレディンガー方程式 / 粘性解 / Krein's theory / KdV equation / Schroedinger equation / Burgers equation / Wavelet / smoothing property / index theorem / dispersive equation / 量子化 / 磁場ポテンシャル / L^p(R^n)-有界性 / 波面集合 / 超関数 / スペクトル / シュレーディンガー作用素 / マルチンゲール / Krein理論 / KdV方程式 / シュレーディンガー方程式 / バーガーズ方程式 / 指数定理 / 分散型方程式 / Smoothing effect / Coronical transform / Lp-Analysis / Cauchy Problem / Schoedinger equation / Global boundedness / Fourier Integral Operator / Oscillatory Integral / 波動方程式 / 除去可能特異点 / 境界値問題 / 双曲型方程式 / 正準変換 / Lp-解析 / 初期値問題 / 大域的有界性 / フーリエ積分作用素 / 振動積分 / singularity / pseudo-differential / communication / microlocal analysis / Fourier Transformation / image processing / time-frequency analysis / wavelet / 完全正規直交系 / L^2(R^n)-空間 / 多重ウェーブレット / ガボール変換 / フレーム / 多重解像度解析 / 特異性 / 通信理論 / フーリエ変換 / 画像処理 / 時間周波数解析 / Potential / quantized Hamiltonian / spectral inveriance / compact operators / Wigner distribution / symbol / L^2空間 / レゾルベント / スペクトル解析 / フーリエ解析 / 量子化ハミルトニアン / スペクトル不変性 / コンパクト作用素 / ウィグナー・ディストリビューション / パンルベ階層 / インスタントン解 / 完全WKB法 / 代数解析 / ストークス現象 / 完全WKB解析 / ヴァン・ヴレェック-パウリの公式 / ヴァンヴレェック-パウリの公式 / 楕円モジュラー函数 / 半線形楕円型方程式 / 加法的汎関数の分布 / ブラウン運動 / スミルノフ型の積分表示 / ティリング模型 / スピン鎖 / オンサーガ-代数 / 多重表象 / 定数磁場 / 自己共役 / ハミルトニアン / 相対論 / 磁場 / 線形性空間 / 時間関数 / 伝播錐 / 双曲錐 / 局所化作用素 / 双曲系 / 双曲型作用素 / モジュライ空間 / ベクトル束 / YangーMills場 / 強Lefschetz型定理 / 消滅定理 / del Pezzo曲面 / Gromovコンパクト化 / Mixed Hodge構造 / 確率場 / 線形微分方程式系 / 非線形半群 / ベルマン方程式 / 確率偏微分方程式 / 確率制御 / 微積分方程式 / 特異摂動 / 完全非線形楕円型偏微分方程式 Less
  • Research Projects

    (19 results)
  • Research Products

    (2 results)
  • Co-Researchers

    (40 People)
  •  Algebraic analysis of boundary value problems for sheaves and D-modulesPrincipal Investigator

    • Principal Investigator
      Uchida Motoo
    • Project Period (FY)
      2013 – 2016
    • Research Category
      Grant-in-Aid for Challenging Exploratory Research
    • Research Field
      Basic analysis
    • Research Institution
      Osaka University
  •  On the exact WKB method from a viewpoint of microlocal analysis

    • Principal Investigator
      HONDA Naofumi
    • Project Period (FY)
      2011 – 2013
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Basic analysis
    • Research Institution
      Hokkaido University
  •  Boundary value problems and Index Theorem for D ModulesPrincipal Investigator

    • Principal Investigator
      UCHIDA Motoo
    • Project Period (FY)
      2004 – 2007
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Basic analysis
    • Research Institution
      Osaka University
  •  Microlocal analysis and pseudo-differential operators

    • Principal Investigator
      KOTANI Shinichi, 長瀬 道弘
    • Project Period (FY)
      2002 – 2005
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Basic analysis
    • Research Institution
      Osaka University
  •  Boundary Value Problems and Index Theorem for D-ModulesPrincipal Investigator

    • Principal Investigator
      UCHIDA Motoo
    • Project Period (FY)
      2000 – 2002
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Basic analysis
    • Research Institution
      Osaka University
  •  The relation between the quantitative properties of the solutions of partial differential equations and the geometrical structures of their characteristics

    • Principal Investigator
      SUGIMOTO Mitsuru
    • Project Period (FY)
      2000 – 2003
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Basic analysis
    • Research Institution
      Osaka University
  •  ベルグマン核の代数解析とD加群の指数定理Principal Investigator

    • Principal Investigator
      内田 素夫
    • Project Period (FY)
      1997 – 1998
    • Research Category
      Grant-in-Aid for Encouragement of Young Scientists (A)
    • Research Field
      解析学
    • Research Institution
      Osaka University
  •  Pseudodifferential Operators and Schrodinger Equations

    • Principal Investigator
      NAGASE Michihiro
    • Project Period (FY)
      1997 – 1998
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      解析学
    • Research Institution
      OSAKA UNIVERSITY
  •  Theory of multi-wavelet and its application

    • Principal Investigator
      NAGASE Michihiro
    • Project Period (FY)
      1997 – 1999
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      解析学
    • Research Institution
      Osaka University
  •  確率振動積分の漸近評価

    • Principal Investigator
      眞鍋 昭治郎
    • Project Period (FY)
      1996
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      General mathematics (including Probability theory/Statistical mathematics)
    • Research Institution
      Osaka University
  •  ベルグマン核と境界値問題の代数解析Principal Investigator

    • Principal Investigator
      内田 素夫
    • Project Period (FY)
      1996
    • Research Category
      Grant-in-Aid for Encouragement of Young Scientists (A)
    • Research Field
      解析学
    • Research Institution
      Osaka University
  •  オンサーガ-代数の表現論の研究

    • Principal Investigator
      伊達 悦郎
    • Project Period (FY)
      1995
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      Osaka University
  •  ウィーナー空間上の確率解析

    • Principal Investigator
      真鍋 昭次郎
    • 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
      Osaka University
  •  境界値問題の代数解析とベルクマン再生核Principal Investigator

    • Principal Investigator
      内田 素夫
    • Project Period (FY)
      1994
    • Research Category
      Grant-in-Aid for Encouragement of Young Scientists (A)
    • Research Field
      解析学
    • Research Institution
      Osaka University
  •  物理数学の方程式と擬微分作用素論

    • Principal Investigator
      長瀬 道弘
    • Project Period (FY)
      1993
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      解析学
    • Research Institution
      Osaka University
  •  幾何学的諸構造とそのモジュライ空間

    • Principal Investigator
      満渕 俊樹
    • Project Period (FY)
      1991
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      代数学・幾何学
    • Research Institution
      Osaka University
  •  多重特性点を有す双曲型作用素及び系の研究

    • Principal Investigator
      NISHITANI Tatsuo
    • Project Period (FY)
      1991
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      解析学
    • Research Institution
      Osaka University
  •  完全非線形楕円型偏微分方程式の境界値問題の研究

    • Principal Investigator
      相沢 貞一
    • Project Period (FY)
      1990
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      解析学
    • Research Institution
      Kobe University
  •  確率制御とその応用

    • Principal Investigator
      西尾 真喜子
    • Project Period (FY)
      1990
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      General mathematics (including Probability theory/Statistical mathematics)
    • Research Institution
      Kobe University

All 2004

All Journal Article

  • [Journal Article] Hoermander form and uniequenwss for the Cauchy problem2004

    • Author(s)
      内田素夫
    • Journal Title

      Advances in Mathematics 189

      Pages: 237-245

    • Data Source
      KAKENHI-PROJECT-14340045
  • [Journal Article] Hormander form and uniqueness for the Cauchy problem2004

    • Author(s)
      Uchida, Motoo
    • Journal Title

      Advances in Mathematics 189

      Pages: 237-245

    • Data Source
      KAKENHI-PROJECT-16540150
  • 1.  SUGIMOTO Mitsuru (60196756)
    # of Collaborated Projects: 8 results
    # of Collaborated Products: 0 results
  • 2.  NISHITANI Tatsuo (80127117)
    # of Collaborated Projects: 8 results
    # of Collaborated Products: 0 results
  • 3.  NAGASE Michihiro (70034733)
    # of Collaborated Projects: 7 results
    # of Collaborated Products: 0 results
  • 4.  MANABE Shojiro (20028260)
    # of Collaborated Projects: 5 results
    # of Collaborated Products: 0 results
  • 5.  KOISO Norihito (70116028)
    # of Collaborated Projects: 5 results
    # of Collaborated Products: 0 results
  • 6.  KOTANI Shinnichi (10025463)
    # of Collaborated Projects: 4 results
    # of Collaborated Products: 0 results
  • 7.  TAKEGOSHI Kensho (20188171)
    # of Collaborated Projects: 3 results
    # of Collaborated Products: 0 results
  • 8.  SUZUKI Takashi (40114516)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 9.  HONDA Naofumi (00238817)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 10.  ASHINO Ryuichi (80249490)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 11.  MATSUMURA Akitaka (60115938)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 12.  IOHARA Takao (00294140)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 13.  佐々木 武 (00022682)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 14.  満渕 俊樹 (80116102)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 15.  IBUKIYAMA Tomoyoshi (60011722)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 16.  FUJOWAR Alcio (30251359)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 17.  FURIHATA Daisuke (80242014)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 18.  ISOZAKI Yasuki (90273573)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 19.  相沢 貞一 (20030760)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 20.  高野 恭一 (10011678)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 21.  高山 信毅 (30188099)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 22.  山田 直記 (50030789)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 23.  西尾 真喜子 (80030758)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 24.  中西 康剛 (70183514)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 25.  平松 豊一 (40029674)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 26.  樋口 保成 (60112075)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 27.  今吉 洋一 (30091656)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 28.  竹内 勝 (70028116)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 29.  榎 一郎 (20146806)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 30.  梅原 雅顕 (90193945)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 31.  伊達 悦郎 (00107062)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 32.  大山 陽介 (10221839)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 33.  三木 敬 (40212229)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 34.  渡部 隆夫 (30201198)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 35.  大和 健二 (70093474)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 36.  井川 満 (80028191)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 37.  守本 晃 (50239688)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 38.  森藤 伸哉 (30273832)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 39.  岩崎 千里 (30028261)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 40.  Schapira Pierre
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results

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