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SHIMAKURA Norio  島倉 紀夫

ORCIDConnect your ORCID iD *help
… Alternative Names

島倉 紀夫  シマクラ ノリオ

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Researcher Number 60025393
External Links
Affiliation (based on the past Project Information) *help 2002: 東北大学, 理学研究科, 教授
1998 – 2002: 東北大学, 大学院・理学研究科, 教授
1996: 東北大学, 大学院・理学研究科, 教授
1991 – 1994: 東北大学, 理学部, 教授
1992: 東北大学, 理学部, 文部教官教授
1988 – 1989: Faculty of Science, Tohoku University; Professor, 理学部, 教授
1986 – 1987: 京都大学, 理学部, 助教授
Review Section/Research Field
Principal Investigator
解析学 / Basic analysis
Except Principal Investigator
解析学 / Basic analysis / Global analysis / Geometry / 代数学・幾何学
Keywords
Principal Investigator
モーメント / アダマール係数 / 共形ゲージ変換 / ウィルソン基底 / 最小エネルギー解 / ソボレフの臨界指数 / アプリオリ評価 / リヤプノフ函数 / Huygens operator / moments … More / conformal gauge transform / coincidence values / tail term of elementary solution / Hadamard coefficients / causal domain / metric principal part / ホイヘンスの原理 / 空隙 / 正規座標系 / ホイヘンス作用素 / 同点値 / 基本解の末尾 / 因果的領域 / 計量的主要部 / Bloch functions / Wilson basis / Hypergeometric singularities / Non-resonance condition / Least energy solutions / Regular completion / Operating functions / Lyapunov function / 不確定性原理 / ベルヌ-イ・シフト / ポアンカレ写像 / ベルグマン計量 / 極大函数 / 無条件基底 / アトム / 局所L^2評価 / ブロック函数 / 超幾何的特異性 / 非共鳴条件 / 正則完備化環 / 作用函数 / リャプノフ函数 / 相函数 / 重みつきのソボレフ空間 / 実効的双曲型作用素 / 超可微分函数族 / 比較定理 / 決定方程式 / モーメント列 / 境界での退化 / 絶対平行性 / アフィン接続 / リース・ポテンシァル / 永久的ホイヘンス作用素 / 瞬間的ホイヘンス作用素 / 面積積分作用素 / 陳類 / ヤングの図形 / 多変数超幾何函数 / アクセサリ・パラメータ / ストークス線 / 粘性解 / モノドロミー群 / トレリ問題 / 点疑集解 / C^*代数 / アトム分解 / 函数微分方程式 / 行列変数函数 / 不変微分作用素 … More
Except Principal Investigator
擬微分作用素 / 偏微分方程式 / 関数微分方程式 / 常微分方程式 / Uniqueness / 固有値問題 / 反応拡散系 / 変分法 / ハミルトン系 / Asymptotic behavior / Existence / Solution / Nonlinear / Linear / Functional differential equation / Partial differential equation / Ordinary differential equation / 接続問題 / 振動積分 / 乱流解 / 散乱行列 / 中立型 / 放物型 / 楕円型 / 双曲型 / 定性的理論 / 非線形問題 / 発展方程式 / 解 / 非線形 / 線形 / 積分方程式 / 微分方程式 / missing terms / Rellich inequality / Hardy inequality / minimal solution / nonlinear elliptic equation / P-harmonic / singular solution / degenerate elliptic equation / 非線型楕円型方程式 / P-調和方程式 / 退化楕円型方程式n / 非線形楕円型方程式 / ミッシングターム / レリッヒの不等式 / ハーディーの不等式 / 最小解 / 非線形楕円型作用素 / P-調和作用素 / 特異解 / 退化楕円型方程式 / Regurality / Weak solution / Energy inequality / Energy identity / Navier-Stokes equations / 一意性 / 正則性 / 弱解 / エネルギー不等式 / エネルギー等式 / ナヴィア・ストークス方程式 / stochastic differential equations / white noise / well-posedness / Cauchy problem / KdV equations / nonlinear wave equations / ヌルゲージ条件 / ゲージ不変性 / 非線型シュレディンガー方程式 / 概大域的存在 / ヘルマンダー予想 / 非線形クライン-ゴルドン方程式 / 零条件 / クライン-ゴルドン-ザハロフ方程式 / 伝播速度の異なる波の相互作用 / ストリッカーツの評価式 / 確率微分方程式 / KdV方程式 / 確立微分方程式 / ホワイトノイズ / 適切性 / 初期値問題 / kdv方程式 / 非線形波動方程式 / Oyerator Algebras / Quantum Ergodiuty / Eigonvalue Problem / Global Analysis / エルゴード理論 / スペクトル幾何学 / 幾何解析 / 作用素環 / 量子エルゴード性 / 大域解析学 / フーリ工積分作用素 / 放物型方程式 / 楕円型方程式 / 双曲型方程式 / シュレーディンガー作用素 / 散乱理論 / スペクトル / 特異積分 / モレ-空間 / 楕円型偏微分作用素 / 接コ-シ-・リーマン作用素 / CR多様体 / ベキ零リー群 / 極小曲面 / 集中現象 / 安定性 / 活性因子-抑制因子系 / ホール伝導度 / 半群の核表現 / 解の大域的挙動 / リヤプノフ関数 / Klein多様体 / ALE空間 / 半線形楕円偏微分方程式 / 調和写像 / 交叉コホモロジー / モジュライ / 安定ベクトル束 / ケーラー多様体 / 解の特異性の伝播 / コ-シ-問題 / ノイマン問題 / 非線型楕円型偏微分方程式 / 時異摂動 / グリ-ン関数 / カチョポリの不等式 / 最小エネルギ-解 / 完全積分可能性 / 終局有界性 / フ-リェ解析 / 漸近安定性 / 超幾何型微分方程式系 Less
  • Research Projects

    (20 results)
  • Co-Researchers

    (56 People)
  •  ホイヘンス作用素の研究Principal Investigator

    • Principal Investigator
      島倉 紀夫
    • Project Period (FY)
      2002
    • Research Category
      Grant-in-Aid for Exploratory Research
    • Research Field
      Basic analysis
    • Research Institution
      Tohoku University
  •  On the structure of singular solutions for degenerate elliptic equations

    • Principal Investigator
      HORIUCHI Toshio
    • Project Period (FY)
      2002 – 2004
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Basic analysis
    • Research Institution
      IBARAKI UNIVERSITY
  •  Research on a refinement of the energy inequality for weak solutions to the Navier-Stokes equations

    • Principal Investigator
      NAGASAWA Takeyuki
    • Project Period (FY)
      2000 – 2001
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Global analysis
    • Research Institution
      TOHOKU UNIVERSITY
  •  Research on Elementary Solutions to Partial Differential EquationsPrincipal Investigator

    • 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
  •  Relations between geometric invariant and singularity of solution in nonlinear evolution equations related to nonlinear waves

    • Principal Investigator
      TSUTSUMI Yoshio
    • Project Period (FY)
      1997 – 1999
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      解析学
    • Research Institution
      TOHOKU UNIVERSITY
      The University of Tokyo
  •  微分方程式の解の大域的挙動

    • 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
  •  変分法とその反応拡散方程式系への応用

    • Principal Investigator
      高木 泉
    • Project Period (FY)
      1996
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      解析学
    • Research Institution
      Tohoku University
  •  多様体上の退化楕円型擬微分方程式と多変数複素解析

    • Principal Investigator
      新井 仁之
    • Project Period (FY)
      1996
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      解析学
    • Research Institution
      Tohoku University
  •  偏微分方程式の研究Principal Investigator

    • 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
  •  Study on Geometric Analysis

    • Principal Investigator
      SUNADA Toshikazu
    • Project Period (FY)
      1994 – 1995
    • Research Category
      Grant-in-Aid for General Scientific Research (B)
    • Research Field
      Geometry
    • Research Institution
      TOHOKU UNIVERSITY
  •  微分方程式の解の構成Principal Investigator

    • Principal Investigator
      島倉 紀夫
    • Project Period (FY)
      1992
    • Research Category
      Grant-in-Aid for Co-operative Research (A)
    • Research Institution
      Tohoku University
  •  幾何構造の退化とその応用

    • Principal Investigator
      板東 重稔
    • Project Period (FY)
      1992
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      代数学・幾何学
    • Research Institution
      Tohoku University
  •  微分方程式の解の漸近的挙動

    • 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
  •  微分方程式と摂動問題

    • Principal Investigator
      高木 泉
    • Project Period (FY)
      1991
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Institution
      Tohoku University
  •  Several Problems in AnalysisPrincipal Investigator

    • 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
  •  偏微分方程式の実および複素解析的研究Principal Investigator

    • Principal Investigator
      島倉 紀夫
    • 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
      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
  •  楕円型偏微分方程式の研究Principal Investigator

    • Principal Investigator
      島倉 紀夫
    • Project Period (FY)
      1987
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      解析学
    • Research Institution
      Kyoto 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
  •  数理物理学の作用素論的研究

    • Principal Investigator
      池部 晃生
    • Project Period (FY)
      1986
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      解析学
    • Research Institution
      Kyoto University
  • 1.  TAKAGI Izumi (40154744)
    # of Collaborated Projects: 12 results
    # of Collaborated Products: 0 results
  • 2.  KATO Junji (80004290)
    # of Collaborated Projects: 8 results
    # of Collaborated Products: 0 results
  • 3.  SAITO Kazuyuki (60004397)
    # of Collaborated Projects: 5 results
    # of Collaborated Products: 0 results
  • 4.  TOTAKE Takeshi (30004427)
    # of Collaborated Projects: 5 results
    # of Collaborated Products: 0 results
  • 5.  IGARI Satoru (50004289)
    # of Collaborated Projects: 4 results
    # of Collaborated Products: 0 results
  • 6.  BANDO Shigetoshi (40165064)
    # of Collaborated Projects: 4 results
    # of Collaborated Products: 0 results
  • 7.  HORIHATA Kazuhiro (10229239)
    # of Collaborated Projects: 4 results
    # of Collaborated Products: 0 results
  • 8.  FUJIE Satsuro (00238536)
    # of Collaborated Projects: 4 results
    # of Collaborated Products: 0 results
  • 9.  NISHIKAWA Seiki (60004488)
    # of Collaborated Projects: 4 results
    # of Collaborated Products: 0 results
  • 10.  NAGASAWA Takeyuki (70202223)
    # of Collaborated Projects: 4 results
    # of Collaborated Products: 0 results
  • 11.  伊藤 秀一 (90159905)
    # of Collaborated Projects: 3 results
    # of Collaborated Products: 0 results
  • 12.  新井 仁之 (10175953)
    # of Collaborated Projects: 3 results
    # of Collaborated Products: 0 results
  • 13.  堀田 良之 (70028190)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 14.  田辺 広城 (70028083)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 15.  梶谷 邦彦 (00026262)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 16.  AGEMI Rentaro (10000845)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 17.  増田 久弥 (10090523)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 18.  SATO Tokushi (00261545)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 19.  池部 晃生 (00025280)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 20.  溝畑 茂 (20025216)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 21.  TSUTSUMI Yoshio (10180027)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 22.  KOZONO Hideo (00195728)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 23.  今野 一宏 (10186869)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 24.  笠原 皓司 (70026748)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 25.  岩崎 敷久 (70027374)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 26.  小田 忠雄 (60022555)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 27.  立澤 一哉 (80227090)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 28.  中野 史彦 (10291246)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 29.  楠 幸男 (90025221)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 30.  吉沢 尚明 (50025219)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 31.  山口 昌哉 (30025796)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 32.  谷口 雅彦 (50108974)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 33.  大鍛治 隆司 (20160426)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 34.  松本 和一郎 (40093314)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 35.  宮武 貞夫 (10025447)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 36.  SUNADA Toshikazu (20022741)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 37.  UZAWA Tohru (40232813)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 38.  MORITA Yasuo (20011653)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 39.  TAKEDA Masayoshi (30179650)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 40.  MIZUMACHI Tetsu (60315827)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 41.  山本 昌宏 (50182647)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 42.  片岡 清臣 (60107688)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 43.  谷島 賢二 (80011758)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 44.  俣野 博 (40126165)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 45.  柳田 英二 (80174548)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 46.  高野 恭一 (10011678)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 47.  井川 満 (80028191)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 48.  HORIUCHI Toshio (80157057)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 49.  ONISHI Kazuei (20078554)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 50.  SHIMOMURA Katunori (00201559)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 51.  ANDO Hiroshi (60292471)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 52.  NAKAI Eiichi (60259900)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 53.  KUSANO Takasi (70033868)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 54.  AIZAWA Sadakazu (20030760)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 55.  MOCHIZUKI Kiyoshi (80026773)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 56.  KIMURA Tosihusa (50011466)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results

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