• Search Research Projects
  • Search Researchers
  • How to Use
  1. Back to previous page

IKEBE Teruo  池部 晃生

ORCIDConnect your ORCID iD *help
Researcher Number 00025280
Affiliation (based on the past Project Information) *help 1996 – 2000: 摂南大学, 工学部, 教授
1986 – 1992: Kyoto Univ. Fac. of Sci. Professor, 理学部, 教授
1986: 京大, 理学部, 教授
Review Section/Research Field
Principal Investigator
解析学 / Global analysis
Except Principal Investigator
解析学 / General mathematics (including Probability theory/Statistical mathematics) / Global analysis
Keywords
Principal Investigator
random walks / 乱流 / Navier-Stokes方程式 / 散乱理論 / 楕円型方程式 / スペクトル / 双曲型方程式 / Aharonov - Bohm effect / scattering theory / turbulence … More / Navier - Stokes eqs. / block spin transformation / classical spin model / Navier-Srokes方程式 / Aharonov-Bohm 効果 / block spin 変換 / Kolmogorov 則 / Aharonov-Bohm効果 / block spin変換 / 古典スピン系 / Dissipation / Kormogorov law / Viscosity / Navier-Stokes equaion / O(N) Spin Model / Critical Temperature / Random Walk / Renormalization Group / 解のcollapse / self-avoiding walks / 乱歩表現 / ナヴィエ・ストークス方程式 / 時間的大域解 / 粘性非圧縮流体 / O(N)スピン模型 / くり込み群 / Kolmogorov則 / cluster expansion / O(N)spin model / 臨界温度 / 乱歩 / 繰り込み群 / フーリ工積分作用素 / 擬微分作用素 / 放物型方程式 / シュレーディンガー作用素 / 解析性 / 弾性波 / 経路積分 / 固有函数(展開) / シュレーディンガー方程式(作用素) / 作用素 / 散乱 / トポロジ- / 代数学 / 表現論 / 準楕円性 / Duffing方程式 / 非線型解析 / Schrodinger作業素 … More
Except Principal Investigator
Renormalization Group / O(N)スピン模型 / くり込み群 / O(N)Spin Model / block spin変換 / self-avoiding walk / 散乱理論 / 確率微分方程式 / 流体方程式 / 可解格子模型 / 自由表面問題 / 確率解析 / スペクトル理論 / 量子力学の方程式 / 相函数 / Wiener汎関数 / ユニタリ表現 / phase function / hyperbolic equation / canonical mapping / Fourier integral operator / distribution / singularity / microlocal order / フーリエ積分作用素 / 特異性の位数 / リカッチ方程式 / 一段擬微分作用素 / 一階擬微分作用素 / 正準変換 / フ-リエ積分作用素 / 超局所的位数 / 特異性 / 超函数 / Fractals / Periodic solutions of Duffing equations / Lie superalgebra / Asymptotic problems of heat kernels / Generalized Wiener functionals / Malliavin calculus / Stochastic analysis / 木村モデル / ラングラケポテンシャルを持つSchrodinger方程式 / 指数定理 / 熱方程式の基本解 / Wiener空間上の解析学 / 離散部分群 / 双曲的変換 / 周期解 / Duffing方程式 / 熱方程式の基本解の漸近理論 / 双曲的変換の離散部分群 / フラクタル / Duffing方程式の周期解 / 超リー代数 / 熱方程式の基本解の漸近問題 / 超Wiener汎関数と一般化積分 / Wiener空間上の解析学(Malliavin解析) / Schrodinger operater / Hecke operater / hypergroup / unitary representation / Fourier transform / eigenvalue problem / 逆問題 / シュレーディンガ作用素 / ヘッケ作用素 / 超群 / フーリエ変換 / 固有値問題 / Kolmogorov law / Hopf Bifurcation / Couette Flow / Navier-Stokes Equation / Pauli-Fierz Model / Scaling / Recursion Formula / Aharanov-Bohm効果 / Kraichnan model / intermittency / Kolmogorov理論 / polymer展開 / connectivity constant / Pavli-Fierz模型 / Pauli-Fierz模型 / Aharonov-Bohm効果 / Hopf bifurcation / Navier-Stokes方程式 / スケーリング / 漸化式 / Dissipation / Kormogorov law / Viscosity / Navier-Stokes equaion / O (N) Spin Model / Critical Temperature / Random Walk / モンテカルロ法 / Kolmogorov則 / ナヴィエ・ストークス方程式 / polymer exponsicn / 乱歩 / 関数行列式 / block spin 変換 / randomwalk(乱歩) / 臨界温度 / O(N) Spin model / 繰り込み群 / random walk(乱歩) / relativistic Schrodinger equation / relativistic quantum mechanics / inverse scattering theory / scattering theory / scattering operator / Dirac equation / 相対論的不変性 / 相対論的シュレーディンガー方程式 / 相対論的量子力学 / 逆散乱問題 / 散乱作用素 / ディラック方程式 / Computer assisted proof / Structure of solution space / Bifurcation problems / Dynamical System / Solvable lattice models / Fluid dynamical equations / Stochastic Diff.Eq. / Hyperbolic P.D.E. / Schrodinger型方程式 / Heisenberg群上の双曲型方程式 / 量子力学的3体系 / 幾何学的Lorenzアトラクター / Schrodinger方程式 / ホモクリニック倍分岐 / 計算機支援証明 / 分岐問題 / 計算機支援証明法 / 解空間の構造 / カオス / 力学系 / 双曲型方程式 / Dynamical Systems and Chaos / Validated Numerical Computation / Free Surface Problems / Equation of Fluid Dynamics / Wiener Functional / Stochastic Analysis / Spectral Theory / Equation of Quantum Mechanics / 保証つき数値計算 / 区間演算ソフトウェア- / 保型形式の空間 / マリアヴァン解析 / シュレディンガ-方程式 / 無限次元リ-群の表現 / 力学系とカオス / 精度保証付き数値計算 / 流体の方程式 / Wiener(ウィ-ナ-)汎関数 / PISTON PROB. / VISCONS GAS / INTERVAL ANALYSIS / COMPUTER PROOF / PERIODIC SOLUTIONS / DUFFING EQUATION / 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 / Sobolev空間 / 大偏差原理 / Donsberのデルタ関数 / Wiener超汎関数 / Quasi-sure analtsis / Mallianin解析 / Wiener空間 / BMO函数 / ポマンカレ級数 / 擬等角写像 / 複素多様体 / 既約表現 / 無限対称群 / 環積 / 離散群 Less
  • Research Projects

    (18 results)
  • Co-Researchers

    (44 People)
  •  DEVELOPEMENT OF RENORMALIZATION GROUP METHODS AS TOOLS OF ANALYSIS AND THEIR APPLICATIONS TO DYNAMICAL SYSTEMS

    • Principal Investigator
      ITO Keiichi r.
    • Project Period (FY)
      1999 – 2000
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Global analysis
    • Research Institution
      SETSUNAN UNIVERSITY
  •  STUDY OF DIFFERENTIAL EQUATIONS BY RENORMALIZATIONPrincipal Investigator

    • Principal Investigator
      IKEBE Teruo
    • Project Period (FY)
      1998 – 1999
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Global analysis
    • Research Institution
      SETSUNAN UNIVERSITY
  •  Inverse scattering problems for Dirac equations

    • Principal Investigator
      ITO Hiroshi
    • Project Period (FY)
      1997 – 1998
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      解析学
    • Research Institution
      Ehime University
      Kyoto University
  •  MATHEMATICAL FOUNDATIONS OF RENORMALIZATION GROUP THEORY AND ITS APPLICATIONS

    • Principal Investigator
      ITO Keiichi R.
    • Project Period (FY)
      1997 – 1998
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      General mathematics (including Probability theory/Statistical mathematics)
    • Research Institution
      SETSUNAN UNIVERSITY
  •  STUDY OF DIFFERNTIAL EQUATIONS BY RENORMALIZATION GROUP METHODSPrincipal Investigator

    • Principal Investigator
      IKEBE Teruo
    • Project Period (FY)
      1996 – 1997
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      解析学
    • Research Institution
      SETSUNAN UNIVERSITY
  •  確率過程論とその応用研究

    • Principal Investigator
      渡辺 信三
    • 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
      Kyoto University
  •  Modern Analysis for the Equations of Mathematical Science

    • Principal Investigator
      NISHIDA Takaaki
    • Project Period (FY)
      1992 – 1994
    • Research Category
      Grant-in-Aid for General Scientific Research (A)
    • Research Field
      解析学
    • Research Institution
      KYOTO UNIVERSITY
  •  無限離散群の構造と表現の研究

    • Principal Investigator
      平井 武
    • Project Period (FY)
      1990
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      解析学
    • Research Institution
      Kyoto University
  •  複素多様体の幾何とその解析的研究

    • Principal Investigator
      谷口 雅彦
    • Project Period (FY)
      1990
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      解析学
    • Research Institution
      Kyoto University
  •  Modern Mathematical Research for Equations in Mathematical Physics

    • Principal Investigator
      NISHIDA Takaaki
    • Project Period (FY)
      1990 – 1991
    • Research Category
      Grant-in-Aid for General Scientific Research (B)
    • Research Field
      解析学
    • Research Institution
      Kyoto University
  •  数理物理の現代数学的研究Principal Investigator

    • Principal Investigator
      池部 晃生
    • Project Period (FY)
      1989
    • Research Category
      Grant-in-Aid for General Scientific Research (B)
    • Research Field
      解析学
    • Research Institution
      Kyoto University
  •  数理物理学に現れる偏微分方程式の解の研究

    • Principal Investigator
      西田 孝明
    • Project Period (FY)
      1988
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      解析学
    • Research Institution
      Kyoto University
  •  Research on orders of singularities for solutions to partial differential equations

    • Principal Investigator
      MIYATAKE Sadao
    • Project Period (FY)
      1988 – 1989
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      解析学
    • Research Institution
      Kyoto University, Faculty of Science
  •  楕円型偏微分方程式の研究

    • 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
  •  Mathematical Study on Stochastic Models

    • Principal Investigator
      WATANABE Shinzo
    • Project Period (FY)
      1987 – 1988
    • Research Category
      Grant-in-Aid for General Scientific Research (B)
    • Research Field
      General mathematics (including Probability theory/Statistical mathematics)
    • Research Institution
      Kyoto University
  •  スペクトル・散乱理論とその周辺Principal Investigator

    • Principal Investigator
      池部 晃生
    • Project Period (FY)
      1986
    • Research Category
      Grant-in-Aid for Co-operative Research (B)
    • Research Field
      解析学
    • Research Institution
      Kyoto University
  •  数理物理学の作用素論的研究Principal Investigator

    • 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
  •  Group-theoretical research of eigenvalue problems and its applications

    • Principal Investigator
      YOSHIZAWA Hisaaki
    • Project Period (FY)
      1985 – 1986
    • Research Category
      Grant-in-Aid for General Scientific Research (B)
    • Research Field
      General mathematics (including Probability theory/Statistical mathematics)
    • Research Institution
      Kyoto University
  • 1.  HIRAI Takeshi (70025310)
    # of Collaborated Projects: 7 results
    # of Collaborated Products: 0 results
  • 2.  NISHIDA Takaaki (70026110)
    # of Collaborated Projects: 7 results
    # of Collaborated Products: 0 results
  • 3.  WATANABE Shinzo (90025297)
    # of Collaborated Projects: 7 results
    # of Collaborated Products: 0 results
  • 4.  TANIGUCHI Masahiko (50108974)
    # of Collaborated Projects: 5 results
    # of Collaborated Products: 0 results
  • 5.  OKAJI Takashi (20160426)
    # of Collaborated Projects: 4 results
    # of Collaborated Products: 0 results
  • 6.  WATARAI Seizo (20131500)
    # of Collaborated Projects: 4 results
    # of Collaborated Products: 0 results
  • 7.  TERAMOTO Yoshiaki (40237011)
    # of Collaborated Projects: 4 results
    # of Collaborated Products: 0 results
  • 8.  ITO Keiichi R (50268489)
    # of Collaborated Projects: 4 results
    # of Collaborated Products: 0 results
  • 9.  足立 正久 (50025285)
    # of Collaborated Projects: 3 results
    # of Collaborated Products: 0 results
  • 10.  KOKUBU Hiroshi (50202057)
    # of Collaborated Projects: 3 results
    # of Collaborated Products: 0 results
  • 11.  KUSUNOKI Yukio (90025221)
    # of Collaborated Projects: 3 results
    # of Collaborated Products: 0 results
  • 12.  松本 和一郎 (40093314)
    # of Collaborated Projects: 3 results
    # of Collaborated Products: 0 results
  • 13.  SHIMADA Shinichi (40196481)
    # of Collaborated Projects: 3 results
    # of Collaborated Products: 0 results
  • 14.  上野 健爾 (40011655)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 15.  IWASAKI N (70027374)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 16.  島倉 紀夫 (60025393)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 17.  YOSHIZAWA Hisaaki (50025219)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 18.  YAMAGUTI Masaya (30025796)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 19.  MIYATAKE Sadao (10025447)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 20.  IWATSUKA Akira (40184890)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 21.  JIMBO Michio (80109082)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 22.  HIJIKATA Hiroaki (00025298)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 23.  NAKAWAKI Yuuji (60207959)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 24.  永田 雅宜 (00025230)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 25.  梅田 亨 (00176728)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 26.  野村 隆昭 (30135511)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 27.  吉田 伸生 (40240303)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 28.  重川 一郎 (00127234)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 29.  内山 淳 (70025401)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 30.  一瀬 孝 (20024044)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 31.  井川 満 (80028191)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 32.  望月 清 (80026773)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 33.  黒田 成俊 (20011463)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 34.  溝畑 茂 (20025216)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 35.  畑 政義 (40156336)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 36.  吉原 英昭 (10182809)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 37.  西田 吾郎 (00027377)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 38.  ITO Hiroshi (90243005)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 39.  IGARI Katsujyu (90025487)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 40.  SADAMATSU Takashi (10025439)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 41.  土居 伸一 (00243006)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 42.  NAKABAYASHI Kouzaburo (30207857)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 43.  ONO Hiroaki (50100780)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 44.  小谷 眞一 (10025463)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results

URL: 

Are you sure that you want to link your ORCID iD to your KAKEN Researcher profile?
* This action can be performed only by the researcher himself/herself who is listed on the KAKEN Researcher’s page. Are you sure that this KAKEN Researcher’s page is your page?

この研究者とORCID iDの連携を行いますか?
※ この処理は、研究者本人だけが実行できます。

Information User Guide FAQ News Terms of Use Attribution of KAKENHI

Powered by NII kakenhi