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Kataoka Kiyoomi  片岡 清臣

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… Alternative Names

KATAOKA Kiyoomi  片岡 清臣

片岡 清臣  カタオカ キヨオミ

KATAOKA Kiyomi  片岡 清臣

高岡 清臣

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Researcher Number 60107688
Other IDs
Affiliation (Current) 2025: 東京大学, 大学院数理科学研究科, 名誉教授
Affiliation (based on the past Project Information) *help 2017: 東京大学, 大学院数理科学研究科, 名誉教授
2016: 東京大学, 大学院数理科学研究科, 教授
2014 – 2015: 東京大学, 数理(科)学研究科(研究院), 教授
2012: 東京大学, 大学院・数理科学研究科, 教授
2011 – 2012: 東京大学, 数理(科)学研究科(研究院), 教授 … More
2009: 東京大学, 大学院・数理科学研究科, 教授
2006 – 2007: 東京大学, 大学院・数理科学研究科, 教授
2005: 東京大学, 大学院数理科学研究科, 教授
1994 – 1999: University of Tokyo, Graduate School of Mathematical Sciences, professor, 大学院・数理科学研究科, 教授
1994: 東京大学, 大学院数理科学研究科, 助教授
1992 – 1993: 東京大学, 大学院・数理科学研究科, 助教授
1992: Univ.of Tokyo,Dept.of Math.Sciences, 大学院数理科学研究科, 助教授
1988 – 1991: University of Tokyo, Faculty of Science, Associate Professor, 理学部, 助教授
1987: 東京都立大学, 理学部, 助教授 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
Keywords
Principal Investigator
超局所解析 / 偏微分方程式 / 境界値問題 / 佐藤超関数 / 非線形 / 代数解析 / 擬微分作用素 / 混合問題 / boundary values / holomorphic functions … More / pseudo-differential operators / Mellin transformations / microfunctions / Lagrangian / second microlocal analysis / microlocal analysis / FBI変換 / コロンボ超関数 / 第二超局所解析 / 境界値 / 正則関数 / メリン変換 / マイクロ関数 / ラグランジアン / 第2超局所解析 / 数式処理 / 非線形偏微分方程式系 / 5階偏微分方程式系 / 円の族を含む曲面 / マイクロ台 / Lopatinskii条件 / 回折現象 / 初期値境界値混合問題 / 漸近展開 / 共鳴極 / ガウス分布 / レゾルベント / ヒルベルト空間 / 分布関数 / 解析性 / 一般化固有値 / 非線形発展方程式 / 共鳴現象 / 蔵本予想 / 蔵本モデル / 一般化固有関数 / 層のマイクロ台 / D-加群 / 初期値・境界値混合問題 / 偏微分方程式系 / 解析関数 / system of equations / Blum cyclide / non-linear / surface / fifth order / differential equations / circle / 代数曲面 / 解析的 / 共形変換 / cyclide / 円の族 / 曲面 / 5階偏微分方程式 / 関数方程式 / ポテンシャル / 波動方程式 / 超関数 / シュレデインガー方程式 / 特異性 / 非線形シュレジンガー方程式 / 確定特異点 / 双曲型方程式 / 多重特性的 / 特異スペクトラム / 超函数 / 微分加群 / ハミルトン系 / モジュライ空間 / 調和函数 / ポアソン積分 / 正則パラメ-タ / 陪特性帯 / 第2解析的特異性 / 発展方程式 / 正則函数・解析函数 / 微分方程式 / マイクロ函数(ミクロ函数) / 佐藤の超函数 … More
Except Principal Investigator
ユニタリ表現 / 等質空間 / 対称空間 / 半単純リー群 / ラプラス変換 / 特異性の伝播 / 初期値問題 / 超幾何関数 / 分岐理論 / ホロノミック系 / 球函数 / ゲージ不変性 / シュレディンガー作用素 / 代数解析 / 超函数 / 表現論 / 境界ハルナック原理 / グリーン関数 / シュレーディンガー方程式 / 二階楕円型方程式 / マルチン核 / マルチン境界 / 正値解の構造 / アキシフォン / 強いCPの破れ / ニュ-トリノ振動 / 超新星爆発 / 太陽ニュ-トリノ / バリオン数非保存 / 場の理論における無限大 / 超ひも理論 / Boundary value / Lie group / Unitary representation / Harmonic analysis / Homogeneous space / Symmetric space / 半単純対称空間 / 離散系列表現 / 主系列表現 / 境界値問題 / 境界値 / リー群 / 調和解析 / stochastic differential equations / white noise / well-posedness / Cauchy problem / KdV equations / nonlinear wave equations / ヌルゲージ条件 / 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 / kdv方程式 / 非線形波動方程式 / Complex Wiener Space / Infinite Dimensional Analysis / Horomorphic Function / Dolbealt Cohomology / Skelton / Stochastic Analysis / Wiener Measure / ドルボーコホモロジー / 対称性 / 無限次元空間 / ウィナー多様体 / 複素ウィナー空間 / 無限次元解析 / 正則関数 / ドルボ-・コホモロジー / スケルトン / 確率解析 / ウィナー測度 / symmetric spaces / seimsimple Lie groups / unitary representations / spherical functions / hypergeometric functions / invariant differential operators / completely integrable systems / 超幾何微分方程式 / 球関数 / 不変微分作用素 / 完全積分可能系 / Classification of subfactors / zakharov equations / Second microlocal analysis / Schrodinger operators / Semigroups of operators / Differential equations / Microlocal analysis / シュレロディンガ-作用素 / ラプラス作用素 / 微函数 / シュレディンガーの作用素 / 部分因子環の分類 / ザハロフ方程式 / 第二超局所解析 / 作用素の半群 / 微分方程式 / 超局所解析 / water wave / Riemannian manifold / bifurcation theory / blow-up of solutions / nonlinear heat equation / reaction-diffusion system / 順序保存力学系 / 境界値混合問題 / 楕円型方程式 / 非線型拡散方程式 / 非線型反応拡散系 / 多様体上のベキレイ構造 / 表面張力方程式 / 水の波 / 多様体 / 解の爆発 / 非線型熱方程式 / 反応・拡散系 / ヘビサイド理論 / 超関数 / ヤコビ問題 / 離散力学系 / ファトゥ-ビーベルバッハ領域 / シュレーダの方程式 / 複素歳何 / 複素幾何 / 複素解析 / 多変数関数論 / 多変数複素解析 / 実関数論 / 関数論 / superquadratic / subquadratic / 特異ポテンシャル / 陪特性帯 / 基本解 / シュレ-ディンガー方程式 / コホモロジー群 / 差分方程式 / 調和関数 / 不変式 / 多面体 / 不変微分方程式 / 乱流 / 非圧縮性ナヴィエ・ストークス方程式 / バーガース方程式 / ヌル条件 / 非線形散乱理論 / 非可積分系 / 非線形シュレデインガー方程式 / スペクトル理論 / 分岐問題 / 初期層 / 特異摂動 / 流体力学的極限 / 楕円型微分方程式 / 半単純リ-群 Less
  • Research Projects

    (23 results)
  • Research Products

    (21 results)
  • Co-Researchers

    (62 People)
  •  A study of solutions of systems of higher order partial differential equations by algebraic analysis methods and formula manipulation methodsPrincipal Investigator

    • Principal Investigator
      Kataoka Kiyoomi
    • Project Period (FY)
      2014 – 2017
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Basic analysis
    • Research Institution
      The University of Tokyo
  •  Study of nonlinear geometric problems by methods of algebraic analysisPrincipal Investigator

    • Principal Investigator
      KATAOKA Kiyoomi
    • Project Period (FY)
      2011 – 2012
    • Research Category
      Grant-in-Aid for Challenging Exploratory Research
    • Research Field
      Basic analysis
    • Research Institution
      The University of Tokyo
  •  Integrated Research of Analytic and Geometric Invariants of Complex Structure

    • Principal Investigator
      NOGUCHI Junjiro
    • Project Period (FY)
      2005 – 2009
    • Research Category
      Grant-in-Aid for Scientific Research (S)
    • Research Field
      Basic analysis
    • Research Institution
      The University of Tokyo
  •  Analysis of non-linear singularities by microlocal methodsPrincipal Investigator

    • Principal Investigator
      KATAOKA Kiyoomi
    • Project Period (FY)
      1998 – 1999
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Basic analysis
    • Research Institution
      THE UNIVERSITY OF TOKYO
  •  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
  •  微分方程式の幾何学的研究

    • Principal Investigator
      岩崎 克則
    • Project Period (FY)
      1996
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      解析学
    • Research Institution
      The University of Tokyo
  •  スペクトル・散乱理論の研究

    • Principal Investigator
      YAJIMA Kenji
    • Project Period (FY)
      1996
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      解析学
    • Research Institution
      The University of Tokyo
  •  非線形現象に関連した非線形偏微分方程式における解の特異性の生成とその性質Principal Investigator

    • Principal Investigator
      片岡 清臣
    • Project Period (FY)
      1996
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      解析学
    • Research Institution
      The University of Tokyo
  •  等質空間上の微分方程式系

    • Principal Investigator
      大島 利雄
    • Project Period (FY)
      1995
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      解析学
    • Research Institution
      The University of Tokyo
  •  非線形現象に関連した非線形偏微分方程式における解の特異性の生成とその性質

    • Principal Investigator
      堤 誉志雄
    • Project Period (FY)
      1994
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      解析学
    • Research Institution
      The University of Tokyo
  •  線形及び非線性超函数論と超局所解析Principal Investigator

    • Principal Investigator
      片岡 清臣
    • Project Period (FY)
      1994
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      解析学
    • Research Institution
      The University of Tokyo
  •  Research on differential operators in infinite dimensional spaces with symmetry

    • Principal Investigator
      KUSUOKA Shigeo
    • Project Period (FY)
      1994 – 1995
    • Research Category
      Grant-in-Aid for General Scientific Research (B)
    • Research Field
      General mathematics (including Probability theory/Statistical mathematics)
    • Research Institution
      The University of Tokyo
  •  境界値問題及び混合問題の超局所解析Principal Investigator

    • Principal Investigator
      片岡 清臣
    • Project Period (FY)
      1993
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      解析学
    • Research Institution
      The University of Tokyo
  •  Systems of differential equations invariant under an action of a group

    • Principal Investigator
      OSHIMA Toshio
    • Project Period (FY)
      1993 – 1994
    • Research Category
      Grant-in-Aid for General Scientific Research (B)
    • Research Field
      解析学
    • Research Institution
      Graduate School of Mathematical Sciences, University of Tokyo
  •  偏微分方程式論の幾何学及び確率論的問題への応用

    • Principal Investigator
      TSUTSUMI Yoshio
    • Project Period (FY)
      1992
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      General mathematics (including Probability theory/Statistical mathematics)
    • Research Institution
      The University of Tokyo
  •  境界値問題及び混合問題の超局所解析Principal Investigator

    • Principal Investigator
      片岡 清臣
    • Project Period (FY)
      1991
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      解析学
    • Research Institution
      The University of Tokyo
  •  Microlocal Analysis of Differential Equations

    • Principal Investigator
      KOMATSU Hikosaburo
    • Project Period (FY)
      1991 – 1992
    • Research Category
      Grant-in-Aid for General Scientific Research (B)
    • Research Field
      解析学
    • Research Institution
      University of Tokyo
  •  半単純対称空間におけるPlancherelの公式

    • Principal Investigator
      大島 利雄
    • Project Period (FY)
      1990
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      解析学
    • Research Institution
      The University of Tokyo
  •  境界値問題の超局所解析Principal Investigator

    • Principal Investigator
      片岡 清臣
    • Project Period (FY)
      1989
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Institution
      The University of Tokyo
  •  Study of Nonlinear Partial Differential Equations from the View Point of Functional Analysis

    • Principal Investigator
      MASUDA Kyuya
    • Project Period (FY)
      1989 – 1990
    • Research Category
      Grant-in-Aid for General Scientific Research (B)
    • Research Field
      解析学
    • Research Institution
      University of Tokyo
  •  微分方程式の複素解析的研究

    • Principal Investigator
      木村 俊房
    • Project Period (FY)
      1988
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      解析学
    • Research Institution
      The University of Tokyo
  •  Harmonic Analysis on Symmetric Spaces

    • Principal Investigator
      OSHIMA Toshio
    • Project Period (FY)
      1987 – 1988
    • Research Category
      Grant-in-Aid for General Scientific Research (B)
    • Research Field
      解析学
    • Research Institution
      University of Tokyo, Faculty of Science, Department of Mathematics
  •  超ひも理論と関連する高次元統一理論

    • 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 2018 2017 2016 2015 2013 2012 2011 2009 Other

All Journal Article Presentation Book

  • [Book] 数学の現在 e2016

    • Author(s)
      片岡清臣(斎藤毅(東大数理)編集)
    • Publisher
      東京大学出版会
    • Data Source
      KAKENHI-PROJECT-26400110
  • [Journal Article] A review of the results on second analytic singularities in diffraction problems2016

    • Author(s)
      Kiyoomi Kataoka
    • Journal Title

      京都大学数理解析研究所講究録別冊

      Volume: B57 Pages: 159-174

    • Peer Reviewed / Open Access
    • Data Source
      KAKENHI-PROJECT-26400110
  • [Journal Article] Sato Hyperfunctions and Reproducing Kernels2016

    • Author(s)
      片岡 清臣
    • Journal Title

      京都大学数理解析研究所講究録

      Volume: 1980 Pages: 125-138

    • Open Access
    • Data Source
      KAKENHI-PROJECT-26400110
  • [Journal Article] The functor $\beta_Y(\cdot)$ and mixed problems for ${\mathcal D}_X$-modules2016

    • Author(s)
      Kiyoomi Kataoka
    • Journal Title

      京都大学数理解析研究所講究録別冊

      Volume: B61

    • Peer Reviewed / Open Access
    • Data Source
      KAKENHI-PROJECT-26400110
  • [Journal Article] On a system of fifth-order partial differential equations describing surfaces containing two families of circular arcs2013

    • Author(s)
      Kiyoomi Kataoka
    • Journal Title

      Complex Variables and Elliptic Equations

      Volume: 2013 Issue: 11 Pages: 1-13

    • DOI

      10.1080/17476933.2012.746967

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-23654047
  • [Journal Article] A system of fifth-order partial differential equations describing a surface which contains many circles2013

    • Author(s)
      Kiyoomi Kataoka
    • Journal Title

      Bulletin des Sciences Math\'ematiques

      Volume: 137 Issue: 3 Pages: 325-360

    • DOI

      10.1016/j.bulsci.2012.09.002

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-23654047
  • [Journal Article] The non-integrabil-ity of some system of fifth-order partial differential equations describing surfaces containing 6 families of circles2013

    • Author(s)
      Kiyoomi KATAOKA, Nobuko TAKEUCHI
    • Journal Title

      RIMS Kokyuroku Bessatsu

      Volume: B40 Pages: 95-117

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-23654047
  • [Journal Article] A system of fifth-order nonlinear partial differential equations and a surface which contains many circles2011

    • Author(s)
      Kiyoomi Kataoka, Nobuko Takeuchi
    • Journal Title

      京都大学数理解析研究所講究録

      Volume: 1723 Pages: 142-149

    • Data Source
      KAKENHI-PROJECT-23654047
  • [Presentation] 蔵本予想に関連する作用素の一般化固有値について2018

    • Author(s)
      片岡清臣
    • Organizer
      日本数学会年会
    • Data Source
      KAKENHI-PROJECT-26400110
  • [Presentation] Some remarks on Hayato Chiba's theory about Kuramoto conjecture2017

    • Author(s)
      片岡清臣
    • Organizer
      京都大学RIMS共同研究 「Microlocal analysis and asymptotic analysis」
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-26400110
  • [Presentation] Sobolev forms for microfunctions with real analytic parameters and the microlocal energy method2016

    • Author(s)
      Kiyoomi Kataoka
    • Organizer
      京都大学RIMS 共同研究 「超局所解析と特異摂動論の新展開 」
    • Place of Presentation
      京都大学数理解析研究所
    • Year and Date
      2016-10-03
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-26400110
  • [Presentation] 実解析的パラメーターをもつ佐藤超関数に対するソボレフ型2次形式とその応用2015

    • Author(s)
      片岡 清臣,山崎 海斗
    • Organizer
      日本数学会秋季総合分科会函数解析学分科会
    • Place of Presentation
      京都産業大学
    • Year and Date
      2015-09-13
    • Data Source
      KAKENHI-PROJECT-26400110
  • [Presentation] 佐藤超関数と再生核形式2015

    • Author(s)
      片岡 清臣
    • Organizer
      京都大学数理解析研究所共同研究「再生核の応用についての総合的な研究」
    • Place of Presentation
      京都大学数理解析研究所
    • Year and Date
      2015-10-07
    • Invited
    • Data Source
      KAKENHI-PROJECT-26400110
  • [Presentation] The functor B_Y( . ) and mixed problems for D_X-modules2015

    • Author(s)
      Kiyoomi Kataoka
    • Organizer
      京都大学数理解析研究所共同研究「Microlocal Analysis and Singular Perturbation Theory 」
    • Place of Presentation
      京都大学数理解析研究所
    • Year and Date
      2015-10-05
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-26400110
  • [Presentation] A system of fifth-order PDE's describing surfaces containing 2 families of circular arcs and the reduction to a system of fifth-order ODE's2012

    • Author(s)
      片岡清臣
    • Organizer
      京都大学RIMS 共同研究「超局所解析と漸近解析の最近の進展」(研究代表者: 岡田 靖則 (千葉大 理))
    • Place of Presentation
      京都大学数理解析研究所
    • Invited
    • Data Source
      KAKENHI-PROJECT-23654047
  • [Presentation] 多種の円弧の連続族を含む曲面を記述する5階偏微分方程式系2012

    • Author(s)
      片岡清臣
    • Organizer
      日本数学会秋季総合分科会函数解析学分科会特別講演
    • Place of Presentation
      九州大学伊都キャンパス
    • Invited
    • Data Source
      KAKENHI-PROJECT-23654047
  • [Presentation] An example of composition of two kernel functions of micro-differential operators and its bad part2009

    • Author(s)
      片岡清臣
    • Organizer
      京都大学RIMS共同研究「無限階擬微分作用素の超局所解析と漸近解析」
    • Place of Presentation
      京都大学数理解析研究所,京都
    • Year and Date
      2009-02-13
    • Data Source
      KAKENHI-PROJECT-17104001
  • [Presentation] A review of the results on second analytic singularities in diffraction problems, and some geometric proofs

    • Author(s)
      片岡 清臣
    • Organizer
      京都大学RIMS 共同研究「超局所解析の諸相」(研究代表者: 本多尚文(北大))
    • Place of Presentation
      京都大学数理解析研究所
    • Year and Date
      2014-10-20 – 2014-10-24
    • Invited
    • Data Source
      KAKENHI-PROJECT-26400110
  • [Presentation] The non-integrability of some system of fifth-order partial differential equations describing surfaces containing 6 families of circles

    • Author(s)
      Kiyoomi KATAOKA
    • Organizer
      RIMS 研究集会「漸近解析に於ける超局所解析の展望 研究代表者: 本多尚文(北大・理),」(招待講演)
    • Place of Presentation
      京都大学数理解析研究所
    • Data Source
      KAKENHI-PROJECT-23654047
  • [Presentation] On the system of fifth-order partial differential equations describing surfaces containing 2 families of circular arcs

    • Author(s)
      Kiyoomi KATAOKA
    • Organizer
      国際研究集会「Microlocal Analysis and Related Topics」(招待講演)
    • Place of Presentation
      埼玉大学東京サテライト
    • Data Source
      KAKENHI-PROJECT-23654047
  • [Presentation] 5階方程式系の非可積分性と6円を含む曲面について

    • Author(s)
      片岡清臣
    • Organizer
      日本数学会秋季函数解析学分科会
    • Place of Presentation
      信州大学
    • Data Source
      KAKENHI-PROJECT-23654047
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