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

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