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KATO Junji  加藤 順二

ORCIDConnect your ORCID iD *help
Researcher Number 80004290
Affiliation (based on the past Project Information) *help 1998: 東北大学, 大学院・理学研究所, 教授
1998: 東北大学, 大学院・理学研究科, 教授
1995 – 1996: 東北大学, 大学院・理学研究科, 教授
1995: Tohoku Univ., 理学研究科, 教授
1986 – 1995: Dept. of Math., Fac. of Science, Tohoku Univ., Professor, 理学部, 教授
Review Section/Research Field
Principal Investigator
解析学
Except Principal Investigator
解析学 / Basic analysis / Global analysis
Keywords
Principal Investigator
常微分方程式 / 関数微分方程式 / 偏微分方程式 / ハミルトン系 / 変分法 / 超幾何型微分方程式系 / 漸近安定性 / フ-リェ解析 / 終局有界性 / 完全積分可能性 … More / 最小エネルギ-解 / カチョポリの不等式 / グリ-ン関数 / リヤプノフ関数 / 反応拡散系 / 解の大域的挙動 / 半群の核表現 / ホール伝導度 / 線形性と非線形性 / 安定性 / 解 / 漸近挙動 / 定性的理論 / 発展方程式 / 非線形問題 / 固有値問題 / 擬微分作用素 / 接続問題 / Ordinary diff. equ. / Partial diff. equ. / Functional diff. equ. / Linear and nonlinear / Stability / Solutions / Asymptotic behavior / Qualitative theory / ヒル方程式 / フックス型微分方程式 / 線型作用素 / 微分作用素 / 有界性 … More
Except Principal Investigator
常微分方程式 / 関数微分方程式 / 偏微分方程式 / 函数微分方程式 / 微分方程式 / 特異摂動 / 半線型楕円型方程式 / 安定性 / 発展方程式 / リヤプノフ函数 / 定性的理論 / シュレディンガ-作用素 / 平均曲率 / ウィルソン基底 / 関数方程式 / 既約表現 / 相空間 / リー群 / 補間定理 / 中立型 / 接続問題 / 固有値問題 / 数理物理 / 楕円型 / 双曲型 / 放物型 / Ordinary differential equation / Partial differential equation / 不変微分作用素 / 行列変数函数 / アトム分解 / C^*代数 / 点疑集解 / トレリ問題 / 非線形微分方程式 / フ-リエ解析 / マルチプライヤ- / 固有値 / 狭義擬凸領域 / マルチン境界 / Hamilton系 / Symplectic幾何学 / 積分可能系 / 古典力学 / 半線型楕円型偏微分方程式 / 変分法 / Yang-Baxter方程式 / ケーラー多様体 / ループ空間 / 拡散反応方程式系 / ノイマン問題 / 多変数超幾何函数 / ヤングの図形 / ソボレフの臨界指数 / 陳類 / 面積積分作用素 / 反応拡散方程式系 / 反応拡散系 / 周期解 / 【C^*】-環のデデキント完備化 / von Newmann環のJordan構造の一意的加法構造 / 【C^*】環の正則完備化 / 【AW^*】-環 / 【C^*】-力学系 / 多次元フーリエ解析 / マルチプライヤー / 非線形偏微分方程式 / Kdv方程式 / 微分不等式 / 多変数フーリエ解析 / 最大函数 / 補間思理 / 指標 / D加群 / 原始イデアル / C^*-環 / チューブ領域 / C^*環 / 正則完備化 / 混合ノルム / ルベーグ空間 / 多変数フーリエ変換 / ヴォルテラ型微分積分方程式 / 複素有界領域 / 正則自己同型 / ディラック作用素 / ハミルトン正準方程式 / 〓〓調和関数 / バ-クマン核 / シュレディンガ-方程式 / ハミルトン力学系 / 調和関数 / バ-グマン核 / 周期的シュレ-ディンガ-方程式 / ヤン・ミルズ汎函数 / ハミルトンベクトル場 / バ-コフ標準型 / ハ-ディ空間 / ケ-ラ-多様体 / トレリの問題 / Schrodinger operator / Dirac operator / integrable hamiltonian system / functional differential equation / harmonic function / Bergman kernel / リエナール方程式 / 超幾何関数 / 数理物理学 / 抽象的微分方程式 / 変分問題 / Ordinary Differential Equations / Linear Equations / Hypergeometric Functions / Neutral Type / Functional Differential Equations / Partial Differential Equations / Mathematical Physics / Abstract Differential Equations / リャプノフ函数 / 作用函数 / 正則完備化環 / 最小エネルギー解 / 非共鳴条件 / 超幾何的特異性 / ブロック函数 / 局所L^2評価 / アトム / 無条件基底 / 極大函数 / ベルグマン計量 / ポアンカレ写像 / アプリオリ評価 / ベルヌ-イ・シフト / 不確定性原理 / Lyapunov function / Operating functions / Regular completion / Least energy solutions / Non-resonance condition / Hypergeometric singularities / Wilson basis / Bloch functions / 応用数学 / 数値解析 / プラズマ物理 / 流体 / 力学系 / 量子論 / 非線形発展方程式 / 経路積分 / 波動方程式 / 逆問題 / 符号理論 / 作用素論 / 非線形拡散方程式 / differential equations / applied mathematics / numerical analysis / plasma physics / fluid mechanics / quantum mechanics / 楕円型微分方程式 / 放物型微分方程式 / 双曲型微分方程式 / フーリエ積分作用素 / 大域解の存在 / 解の爆発 / フーリェ積分作用素 / ordinary differential equations / partial differential equations / elliptic differential equations / parabolic differential equations / hyperbolic differential equations / Fourier integral operators / existence of global solutions / blow-up of solutions / 計量的主要部 / 因果的領域 / アダマール係数 / 基本解の末尾 / 同点値 / 共形ゲージ変換 / モーメント / ホイヘンス作用素 / 正規座標系 / 空隙 / ホイヘンスの原理 / metric principal part / causal domain / Hadamard coefficients / tail term of elementary solution / coincidence values / conformal gauge transform / moments / Huygens operator / ナヴィエ・ストークス方程式 / 磁気流体 / 反応・拡散系 / 分岐理論 / Navier-Stokes equations / Magnetic fluid / Reaction-Diffusion equations / 全微分方程式 / モノドロミ保存変形 / Painlev'eの方程式 / 有界性 / 初期問題 / 境界値問題 / 混合問題 / 特異性の伝播 / Govrey級 / マイクロローカル / total differential equation / Isomonodromic deformation / Painleve systems / Elliptic / Hyperbolic / ハーディ空間 / 調和函数 / 劣調和函数 / 半単純代数群 / クライン群 / 作用変還 / Harmonic function / subharmonic function / Hardy space / Operator algebra / Evolution equation / Semi-simple group / D-module / 積分方程式 / 線形 / 非線形 / 解 / 非線形問題 / 擬微分作用素 / 散乱行列 / 乱流解 / 振動積分 / Functional differential equation / Linear / Nonlinear / Solution / Existence / Uniqueness / Asymptotic behavior Less
  • Research Projects

    (27 results)
  • Co-Researchers

    (55 People)
  •  Research on Elementary Solutions to Partial Differential Equations

    • Principal Investigator
      SHIMAKURA Norio
    • Project Period (FY)
      1998 – 1999
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Basic analysis
    • Research Institution
      TOHOKU UNIVERSITY
  •  Study on Navier-Stokes equations and related nonlinear partial differential equations

    • Principal Investigator
      MASUDA Kyuya
    • Project Period (FY)
      1998 – 1999
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Global analysis
    • Research Institution
      Meiji University
      Tohoku University
  •  微分方程式の解の大域的挙動Principal Investigator

    • Principal Investigator
      加藤 順二
    • Project Period (FY)
      1996
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      解析学
    • Research Institution
      Tohoku University
  •  非線型楕円型境界値問題の解の大域的性質

    • Principal Investigator
      高木 泉
    • Project Period (FY)
      1995
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      解析学
    • Research Institution
      Tohoku University
  •  ナヴィエ・ストークス方程式の非線形関数解析的手法による研究

    • Principal Investigator
      増田 久弥
    • Project Period (FY)
      1995
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      解析学
    • Research Institution
      Tohoku University
  •  Synthetic study on differential equations

    • Principal Investigator
      AGEMI Rentaro
    • Project Period (FY)
      1995 – 1996
    • Research Category
      Grant-in-Aid for Scientific Research (A)
    • Research Field
      解析学
    • Research Institution
      HOKKAIDO UNIVERSITY
  •  偏微分方程式の研究

    • Principal Investigator
      島倉 紀夫
    • Project Period (FY)
      1994
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      解析学
    • Research Institution
      Tohoku University
  •  Solutions of Differential Equations and Applications

    • Principal Investigator
      MOCHIZUKI Kiyoshi
    • Project Period (FY)
      1994 – 1995
    • Research Category
      Grant-in-Aid for Co-operative Research (A)
    • Research Field
      解析学
    • Research Institution
      Tokyo Metropolitan University
  •  古典力学における数学的諸問題

    • Principal Investigator
      伊藤 秀一
    • Project Period (FY)
      1992
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      解析学
    • Research Institution
      Tohoku University
  •  微分方程式の摂動問題

    • Principal Investigator
      高木 泉
    • Project Period (FY)
      1992
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      解析学
    • Research Institution
      Tohoku University
  •  微分方程式の解の漸近的挙動Principal Investigator

    • Principal Investigator
      加藤 順二
    • Project Period (FY)
      1991
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      解析学
    • Research Institution
      Tohoku University
  •  Comprehensive Researches of Differential Equations

    • Principal Investigator
      TANABE Hiroki
    • Project Period (FY)
      1991 – 1992
    • Research Category
      Grant-in-Aid for Co-operative Research (A)
    • Research Field
      解析学
    • Research Institution
      Osaka University
  •  Several Problems in Analysis

    • Principal Investigator
      SHIMAKURA Norio
    • Project Period (FY)
      1991 – 1993
    • Research Category
      Grant-in-Aid for General Scientific Research (B)
    • Research Field
      解析学
    • Research Institution
      TOHOKU UNIVERSITY
  •  非線形微分方程式の定性的研究

    • Principal Investigator
      KUSANO Takasi
    • Project Period (FY)
      1990
    • Research Category
      Grant-in-Aid for Co-operative Research (A)
    • Research Field
      解析学
    • Research Institution
      Hiroshima University
  •  調和解析と函数空間の研究

    • Principal Investigator
      猪狩 惺
    • Project Period (FY)
      1990
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      解析学
    • Research Institution
      Tohoku University
  •  Hamilton力学系の総合的研究

    • Principal Investigator
      伊藤 秀一
    • Project Period (FY)
      1990
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      解析学
    • Research Institution
      Tohoku University
  •  偏微分方程式の実および複素解析的研究

    • Principal Investigator
      SHIMAKURA Norio
    • Project Period (FY)
      1989
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      解析学
    • Research Institution
      Tohoku University
  •  微分方程式の解の構造と漸近挙動Principal Investigator

    • Principal Investigator
      加藤 順二
    • Project Period (FY)
      1989
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      解析学
    • Research Institution
      Tohoku University
  •  The Comprehensive Study of Differential EquationsPrincipal Investigator

    • Principal Investigator
      KATO Junji
    • Project Period (FY)
      1989 – 1990
    • Research Category
      Grant-in-Aid for Co-operative Research (A)
    • Research Field
      解析学
    • Research Institution
      Tohoku University
  •  Problems in Global Analysis

    • Principal Investigator
      KOTAKE Takeshi
    • Project Period (FY)
      1989 – 1990
    • Research Category
      Grant-in-Aid for General Scientific Research (B)
    • Research Field
      解析学
    • Research Institution
      Tohoku University
  •  調和解析と函数空間の研究

    • Principal Investigator
      猪狩 惺
    • Project Period (FY)
      1988
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      解析学
    • Research Institution
      Tohoku University
  •  作用素環と諸種の解析学

    • Principal Investigator
      斎藤 和之
    • Project Period (FY)
      1988
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      解析学
    • Research Institution
      Tohoku University
  •  The comprehensive study of differential equations

    • Principal Investigator
      KUSANO Takasi
    • Project Period (FY)
      1987 – 1988
    • Research Category
      Grant-in-Aid for Co-operative Research (A)
    • Research Field
      解析学
    • Research Institution
      HIROSHIMA UNIVERSITY
  •  微分方程式の解の漸近挙動Principal Investigator

    • Principal Investigator
      加藤 順二
    • Project Period (FY)
      1987
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      解析学
    • Research Institution
      Tohoku University
  •  作用素環と諸種の解析学

    • Principal Investigator
      斉藤 和之
    • Project Period (FY)
      1986
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      解析学
    • Research Institution
      Tohoku University
  •  Analytic study of differential equations

    • Principal Investigator
      KIMURA Tosihusa
    • Project Period (FY)
      1985 – 1986
    • Research Category
      Grant-in-Aid for Co-operative Research (A)
    • Research Field
      解析学
    • Research Institution
      University of Tokyo
  •  Studies of Harmonic Analysis

    • Principal Investigator
      IGARI Satoru
    • Project Period (FY)
      1985 – 1986
    • Research Category
      Grant-in-Aid for General Scientific Research (B)
    • Research Field
      解析学
    • Research Institution
      TOHOKU UNIVERSITY
  • 1.  TAKAGI Izumi (40154744)
    # of Collaborated Projects: 15 results
    # of Collaborated Products: 0 results
  • 2.  IGARI Satoru (50004289)
    # of Collaborated Projects: 9 results
    # of Collaborated Products: 0 results
  • 3.  SHIMAKURA Norio (60025393)
    # of Collaborated Projects: 8 results
    # of Collaborated Products: 0 results
  • 4.  KOTAKE Takeshi (30004427)
    # of Collaborated Projects: 8 results
    # of Collaborated Products: 0 results
  • 5.  SAITO Kazuyuki (60004397)
    # of Collaborated Projects: 6 results
    # of Collaborated Products: 0 results
  • 6.  ITO Hidekazu (90159905)
    # of Collaborated Projects: 6 results
    # of Collaborated Products: 0 results
  • 7.  BANDO Shigetoshi (40165064)
    # of Collaborated Projects: 6 results
    # of Collaborated Products: 0 results
  • 8.  MASUDA Kyuya (10090523)
    # of Collaborated Projects: 6 results
    # of Collaborated Products: 0 results
  • 9.  KUSANO Takasi (70033868)
    # of Collaborated Projects: 5 results
    # of Collaborated Products: 0 results
  • 10.  TANABE Hiroki (70028083)
    # of Collaborated Projects: 5 results
    # of Collaborated Products: 0 results
  • 11.  HORIHATA Kazuhiro (10229239)
    # of Collaborated Projects: 5 results
    # of Collaborated Products: 0 results
  • 12.  AIZAWA Sadakazu (20030760)
    # of Collaborated Projects: 4 results
    # of Collaborated Products: 0 results
  • 13.  立沢 一哉 (80227090)
    # of Collaborated Projects: 4 results
    # of Collaborated Products: 0 results
  • 14.  ARAI Hitoshi (10175953)
    # of Collaborated Projects: 4 results
    # of Collaborated Products: 0 results
  • 15.  AGEMI Rentaro (10000845)
    # of Collaborated Projects: 4 results
    # of Collaborated Products: 0 results
  • 16.  HOTTA Tyoshi (70028190)
    # of Collaborated Projects: 3 results
    # of Collaborated Products: 0 results
  • 17.  NAKAO Mitsuhiro (10037278)
    # of Collaborated Projects: 3 results
    # of Collaborated Products: 0 results
  • 18.  FUJIE Satsuro (00238536)
    # of Collaborated Projects: 3 results
    # of Collaborated Products: 0 results
  • 19.  上之郷 高志 (60124567)
    # of Collaborated Projects: 3 results
    # of Collaborated Products: 0 results
  • 20.  MOCHIZUKI Kiyoshi (80026773)
    # of Collaborated Projects: 3 results
    # of Collaborated Products: 0 results
  • 21.  ICHINOSE Takashi (20024044)
    # of Collaborated Projects: 3 results
    # of Collaborated Products: 0 results
  • 22.  TAKANO Kyoichi (10011678)
    # of Collaborated Projects: 3 results
    # of Collaborated Products: 0 results
  • 23.  NISHIKAWA Seiki (60004488)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 24.  OKADA Masami (00152314)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 25.  ONO Akira (80038405)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 26.  ISHII Hitoshi (70102887)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 27.  KAJITANI Kunihiko (00026262)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 28.  KIMURA Tosihusa (50011466)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 29.  今野 一宏 (10186869)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 30.  内藤 学 (00106791)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 31.  会田 茂樹 (90222455)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 32.  長谷川 浩司 (30208483)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 33.  佐藤 得志 (00261545)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 34.  清水 悟 (90178971)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 35.  黒田 正 (40004238)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 36.  KASAHARA Koji (70026748)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 37.  OKAMOTO Kazuo (40011720)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 38.  小野 薫 (20204232)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 39.  UKAI Seiji (30047170)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 40.  KURATA Kazuhiro (10186489)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 41.  YAJIMA Kenji (80011758)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 42.  岩崎 敷久 (70027374)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 43.  NAGASAWA Takeyuki (70202223)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 44.  井川 満 (80028191)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 45.  HASEGAWA Fumio (70061926)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 46.  KONNO Reiji (20061921)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 47.  MORIMOTO Hiroko (50061974)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 48.  KATSURADA Masashi (80224484)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 49.  KANEKO Satiomi (20061947)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 50.  石村 直之 (80212934)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 51.  中村 正彰 (00017419)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 52.  MATSUMURA Mutsuhide (30025879)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 53.  SATO Shuichi (20162430)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 54.  溝畑 茂 (20025216)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 55.  難波 誠 (60004462)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results

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