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

KIKUCHI Norio  菊池 紀夫

ORCIDConnect your ORCID iD *help
… Alternative Names

菊地 紀夫  キクチ ノリオ

菊池 紀夫  キクチ ノリオ

Less
Researcher Number 80090041
Other IDs
Affiliation (based on the past Project Information) *help 1992 – 2005: 慶應義塾大学, 理工学部, 教授
1998: Faculty of Science and Technology, Keio University Prof., 理工学部, 教授
1995: 慶応義塾大学, 理工学部, 教授
1991: 慶応大学, 理工学部, 教授
1991: 慶応義塾大学, 理工学部, 教授 … More
1991: 慶應義塾大学, 理工学部・数理科学科, 教授
1990: 慶応義塾大学, 理工学部・数理科学科, 教授
1990: 慶應大学, 理工学部, 教授
1989: 慶応義塾大学, 理工学部, 教授
1988: 慶應義塾大学, 理工学部, 教授
1986: 慶応義塾大学, 理工学部, 教授 Less
Review Section/Research Field
Principal Investigator
解析学 / Global analysis / Basic analysis / Basic analysis
Except Principal Investigator
解析学 / 代数学・幾何学 / Global analysis / Geometry / Global analysis / General mathematics (including Probability theory/Statistical mathematics) / Basic analysis
Keywords
Principal Investigator
調和写像 / Campanato estimate / discrete Morse flow / local estimate / 多変数変分問題 / モ-ス流 / Rothe's approximation / De Giorgi-Nash estimate / 液晶 / 超伝導 … More / 大域解析学 / 変分問題 / Morse (variational) flow / Gehring-Giaquinta-Modica higher integrability / 非線形波動 / 特異点解析 / 超伝導・液晶 / ナヴィア・ストウクス方程式 / Kashiwagi algorithm / Navier-Stokes equations / 離散モース流 / p-調和写像 / 非線形最適化 / 最小勾配(モース)流 / Morse(variational)flow / Yang-mills 接続 / 正則性・特異性 / 正則性 / Yang-Mills接続 / 非線形 / 数値実験 / 変分解析 / モ-ス理論 / 非線形放物型方程式系 / ゲーリング理論 / Gehring-Giaquinta-Modica higher intergability / Rothe approximate scheme / regularity theory / singular integral operator / Morse flow / parabolic differential equations / variationalproblem / 一般臨界点 / 非定常Navier-Stokes方程式 / Alexandrov空間 / Singular space / Campanato評価 / 極小曲面 / 非線形放物型偏微分方程式 / 連続体力学 / 圧縮性流体方程式 / 自由境界問題 / ハミルトン系の周期解 / 位相力学 / 低次元トポロジー / Roth's approximation / Navier-Stokes方程式 / 調和写像とブラウン運動 / 数理ファイナンス / 調和解析と測定理論 / 特異点・漸近解析 / モース流 / 差分-偏微分方程式 / Rothe近似 / 重調和写像 / 液晶・超伝導 / difference partial differential equation of elliptic-parabolic type / discrete Morse fow / 国際研究者交流 / 多国籍 / 一般臨界点解析 / Morse(variational) flow / Kashiwagi algorism / DeGiorgi-Nash-estimate / Gehring-Giaquinta-Modica Higher integrability … More
Except Principal Investigator
調和写像 / value distribution / growth order / Painleve equations / 自由境界問題 / Pain leve方程式 / 値分布 / 位数 / Garnier系 / Painleve方程式 / wavelet / Free boundary problem / 変形量子化 / 拡散過程 / ランダム媒質 / 測定 / Navier-Stokes方程式 / Euler方程式 / 合流型超幾何関数 / 漸近展開 / Painleve equation / PI-hierarchy / Painleve hierarchy / Riccati equation / 局所等長理入問題 / Yang-Mills gradient flow / Weyl manifold / 保測変換群 / 非圧縮流体方程式 / ザイフェルト・ファイバ-構造 / 変分問題解の正則性 / Analytic semiーGroup / NavierーStokes Equation / Model Boaltzman Equation / Uncertainty Relation / Simultaneous Measurment / SemiSimple Lie Group / 代数的独立性 / 超越数とMahlerの方法 / 数列のcomplexity / ビリヤ-ドに関するRauzy予想 / 正規数の構成 / ラプラシアンの行列式 / セルバ-グ.ゼ-タ / パンルヴェ方程式 / harmonic measure / ハルナックの不等式 / k不変関数 / 不確定性関係 / consistent history解釈 / Ising model / Large derivation principle / Navier‐Stokes方程式 / Vortex motion / Morse flow / Quantization / Stabilization / WKB solution / Rauzy〓s conjecture / ヤングミルズ接続 / 極小オ-ビット / フーリエ変換 / モ-ス流 / 非線型偏微分方程式 / 非可換多様体 / 無限次元Lie代数 / Nonlinear Analysis / ナヴィエ・ストークス方程式 / 渦糸方程式 / 表面張力 / 勾配流 / 擬微分作用素 / 量子力学(シュレ-ディンガー方程式) / Wavelet変換 / Hardy空間 / 変分法 / リー群 / 楕円型偏微分方程式 / vortex filament / Cahn-Hilliard oquaton / Stefan problem / Highen integrability / difference differentical egstem / generalized Bessel function / Stefan問題 / 渦系方程式 / 相転位 / 超越数 / 連分数 / 無理性の尺度 / 3次元多様体 / スパイン / ハミルトン系 / エネルギー曲面 / 周期解 / 凸曲面 / ヒルベルト変換 / 作用素の1径数群 / 超関数 / 熱方程式 / ラプラシアン / クリフォード代数 / nonlinear analysis / (compressibla,incompressible)Navier-Stokes equations / free boundary problem / slip boundary problem / Campanoto type estimates / flow-spines and Seifert fibered structure / ヤングミルズ場 / 変分問題の安定性 / 作用素環 / セルフシミラリティ- / フラクタル / 結び目理論 / マルコフ過程 / Yang-Mills fields / Harmonic maps / stability for the variational problem / operator algebra / self-similarity / fractals / knot theory / Markov process / ブラウン運動 / オペレーター安定過程 / II_∞,III型のエルゴード的変換 / モース・フロー / 無限次元Lie環 / オヘレーター安定過程 / II∞、III型のエルゴード的変換 / 調和写像とモース・フロー / ポアンカレ・バーコフ・ウイットの定理 / 自己相似過程 / ナビエ・ストークス方程式 / trimmed sum / Diffusion Process / Brownian Motion / Random Environment / Operator-stable Process / Ergodic Transformation of Type II*& III / Harmonic Map / Morse-flow / Infinite Dimensional Lie Algebra / フーリエ解析 / ウェイブレット / シュレーディンガー方程式 / 混体方程式 / 量子力学 / ファジィ情報 / 統計力学 / 流体方程式 / 量子及び古典力学 / ロジック / WAVELET / 情報 / 推論 / C^X-algebra / trajectory / Fourier analysis / measurements / Schrondinger eq. / fluid eq. / quantum mechanics / fuzzy information / statistical mechanics / 非特異エルゴード変換 / マルコフシフト / 多重再帰性 / 形式的べき級数 / II_∞型エルゴード変換 / dissipative sequence / upper Banach density / weakly wandering sequence / Zの直和分解 / Pascal-adic変換 / 2次元ランドム・ウォーク / Rogers-Ramanujan連分数展開 / II_∞型変換 / III_λ型変換 / Pascal-addic変換 / weakly mixing / NONSINGULAR TRANSFORMATION / MARKOV SHIFT / MULTIPLE RECURRENCE / FORMAL POWER SERIES / 合流型Jordan-Pochhammer型方程式 / Painleve超越関数 / 退化Garnier系 / Painleve property / モノドロミー保存変形 / confluent hypergeometric function / asymptotic expansion / 変型量子化 / グループポイド / 指数定理 / ローブレイン / ホッホシルトコホモロジー / Navier-Stokes equatin / Seiberg Witten equatin / non commutative geometry / Painleve equatin / K-theory / 非可換微分幾何学 / 弦理論 / Seiberg-Witten不変量 / ポアソン構造 / deformation quantizations / groupoids / Index theorem / D-brane / Hochshields cohomology / PI-hierarcly / asymptotics / Garnie system / 角領域 / contact line / 有界変動関数 / 非線形音響学 / 非ニュートン流体 / 滑り境界条件 / クラック伝播問題 / ZK方程式 / Navier slip condition / crack problem / non Newtonian fluids / Navier-Stokes equations / Euler equation / Free boundary problems / infinite sector / Contact line / Functions of bounded variation / nonlinear acoustics / doubly periodic / Pain leve超越関数 / Riccati方程式 / Pain leve property / Gasnies系 / 準Pain leve性 / Fibonacci数 / 準Painleve性 / 特異点 / 準パンルヴェ性 / Ganier system / quasi-Painleve property / Fibonacci numbers Less
  • Research Projects

    (30 results)
  • Research Products

    (5 results)
  • Co-Researchers

    (40 People)
  •  Analytic study of Painleve equations and a nelated clans of equation

    • Principal Investigator
      SHIMOMURA Shun
    • Project Period (FY)
      2005 – 2007
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Global analysis
    • Research Institution
      Keio University
  •  離散モース流とその正則性解析:モース流の構成・一般臨界点解析を目指してPrincipal Investigator

    • Principal Investigator
      菊池 紀夫
    • Project Period (FY)
      2004 – 2005
    • Research Category
      Grant-in-Aid for Exploratory Research
    • Research Field
      Basic analysis
    • Research Institution
      Keio University
  •  Mathematical analysis on the structure of solutions for the fundamental systems of equations in continuum mechanics

    • Principal Investigator
      TANI Atusi
    • Project Period (FY)
      2003 – 2005
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Basic analysis
    • Research Institution
      KEIO UNIVERSITY
  •  Global study of functional equations and special functions

    • Principal Investigator
      SHIMOMURA Shun
    • Project Period (FY)
      2003 – 2004
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Global analysis
    • Research Institution
      Keio University
  •  多変数変分問題の臨界点解析・非線形最適化の数理解析Principal Investigator

    • Principal Investigator
      菊池 紀夫
    • Project Period (FY)
      2002
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Global analysis
    • Research Institution
      Keio University
  •  Search for an approach to general critical points of variational problems materials sciencePrincipal Investigator

    • Principal Investigator
      KIKUCHI Norio
    • Project Period (FY)
      2001 – 2002
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Basic analysis
    • Research Institution
      Keio University
  •  Global study on analytic solutions of functional equations

    • Principal Investigator
      SHIMOMURA Shun
    • Project Period (FY)
      2001 – 2002
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Global analysis
    • Research Institution
      Keio University
  •  Study of Poisson geometry and its application

    • Principal Investigator
      MAEDA Yoshiaki
    • Project Period (FY)
      2000 – 2002
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Geometry
    • Research Institution
      Keio University
  •  Morse theory of variational problemsPrincipal Investigator

    • Principal Investigator
      KIKUCHI Norio
    • Project Period (FY)
      1999 – 2001
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Global analysis
    • Research Institution
      Keio University
  •  a study of special functions defined by functional equations

    • Principal Investigator
      SHIMOMURA Shun
    • Project Period (FY)
      1999 – 2000
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Global analysis
    • Research Institution
      Keio University
  •  流体方程式の数学理論

    • Principal Investigator
      谷 温之
    • Project Period (FY)
      1998
    • Research Category
      Grant-in-Aid for Exploratory Research
    • Research Field
      解析学
    • Research Institution
      Keio University
  •  On a clacification problem of type II ∞ and type III ergodic transformations and its application

    • Principal Investigator
      NAKADA Hitoshi, 伊藤 雄二
    • Project Period (FY)
      1998 – 2000
    • Research Category
      Grant-in-Aid for Scientific Research (B).
    • Research Field
      Global analysis
    • Research Institution
      KEIO UNIVERSITY
  •  Harmonic Analysis and its application to measurements

    • Principal Investigator
      ISHIKAWA Shiro
    • Project Period (FY)
      1997 – 1998
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      解析学
    • Research Institution
      Keio University
  •  変分問題のモ-ス理論Principal Investigator

    • Principal Investigator
      菊池 紀夫
    • Project Period (FY)
      1996
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      解析学
    • Research Institution
      Keio University
  •  調和解析とその応用に関する諸問題について

    • Principal Investigator
      石川 史郎
    • Project Period (FY)
      1996
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      解析学
    • Research Institution
      Keio University
  •  変分問題と非線形の世界・液晶解析を主題としてPrincipal Investigator

    • Principal Investigator
      菊地 紀夫
    • Project Period (FY)
      1995
    • Research Category
      Grant-in-Aid for Co-operative Research (B)
    • Research Field
      解析学
    • Research Institution
      Keio University
  •  非線型解析学における諸問題の研究

    • Principal Investigator
      谷 温之
    • Project Period (FY)
      1995
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      解析学
    • Research Institution
      Keio University
  •  液晶の数理解析Principal Investigator

    • Principal Investigator
      菊池 紀夫
    • Project Period (FY)
      1994
    • Research Category
      Grant-in-Aid for Scientific Research on Priority Areas
    • Research Institution
      Keio University
  •  無限次元と非可換な幾何学について

    • Principal Investigator
      前田 吉昭
    • Project Period (FY)
      1994
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      Geometry
    • Research Institution
      Keio University
  •  変分問題と大域解析学Principal Investigator

    • Principal Investigator
      菊池 紀夫
    • Project Period (FY)
      1994
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      解析学
    • Research Institution
      Keio University
  •  非線型及び大域解析学における諸問題の研究

    • Principal Investigator
      谷 温之
    • Project Period (FY)
      1993
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      解析学
    • Research Institution
      Keio University
  •  Research on Probability Theory and Related Problems of Analysis

    • Principal Investigator
      TANAKA Hiroshi
    • Project Period (FY)
      1992 – 1993
    • Research Category
      Grant-in-Aid for General Scientific Research (B)
    • Research Field
      General mathematics (including Probability theory/Statistical mathematics)
    • Research Institution
      Keio University
  •  関数方程式と超越数論

    • Principal Investigator
      SHIOKAWA Ietaka
    • Project Period (FY)
      1991
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      代数学・幾何学
    • Research Institution
      Keio University
  •  調和解析とその応用に関する諸問題の研究

    • Principal Investigator
      石川 史郎
    • Project Period (FY)
      1991
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      解析学
    • Research Institution
      Keio University
  •  調和解析および関連する諸問題の研究

    • Principal Investigator
      小泉 澄之
    • Project Period (FY)
      1990
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      解析学
    • Research Institution
      Keio University
  •  Problems in the Global analysis

    • Principal Investigator
      OBATA Morio
    • Project Period (FY)
      1990 – 1991
    • Research Category
      Grant-in-Aid for General Scientific Research (B)
    • Research Field
      代数学・幾何学
    • Research Institution
      Keio University
  •  大域解析学における諸問題の研究

    • Principal Investigator
      MAEDA Yoshiaki
    • Project Period (FY)
      1989
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      代数学・幾何学
    • Research Institution
      Keio University
  •  非線型解析学

    • Principal Investigator
      谷 温之
    • Project Period (FY)
      1988 – 1989
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      解析学
    • Research Institution
      Keio University
  •  変分問題と大域解解析学Principal Investigator

    • Principal Investigator
      菊池 紀夫
    • Project Period (FY)
      1987 – 1988
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      解析学
    • Research Institution
      Keio University
  •  解析数論とその周辺

    • Principal Investigator
      塩川 宇賢
    • Project Period (FY)
      1986 – 1987
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      代数学・幾何学
    • Research Institution
      Keio University

All 2006 2005 2004 Other

All Journal Article

  • [Journal Article] Campanato boundary estimates of the solutions to the Rothe scheme to parabolic partial differential systems,2006

    • Author(s)
      N.Kikuchi
    • Journal Title

      Discrete and Continuous Dynamical Systems 印刷中(予定)(未定)(to appear)

    • Data Source
      KAKENHI-PROJECT-16654030
  • [Journal Article] Campanato interior estimates of the solutions to the Rothe scheme to parabolic partial differential systems,2006

    • Author(s)
      N.Kikuchi:
    • Journal Title

      Ann.Mat.Pura Appl. 印刷中(予定)(未定)(to appear)

    • Data Source
      KAKENHI-PROJECT-16654030
  • [Journal Article] Weak solutions to the Cauchy problem for the Navier-Stokes equations satisfying the local energy inequality2005

    • Author(s)
      N.Kikuchi, G.Seregin
    • Journal Title

      Amer.Math.Soc.Transl.Ser.2 (In press)

    • Data Source
      KAKENHI-PROJECT-16654030
  • [Journal Article] Construction of harmonic map flows through the method of discrete Morse flows2004

    • Author(s)
      J.Haga, K.Hoshino, N.Kikuchi
    • Journal Title

      Comput.Vis.Sci. 7

      Pages: 53-59

    • Data Source
      KAKENHI-PROJECT-16654030
  • [Journal Article] Singular integral operators on amalgam spaces and in the discrete case,

    • Author(s)
      N.Kikuchi
    • Journal Title

      Ann.Inst.Fourier 未定(to appear)

    • Data Source
      KAKENHI-PROJECT-16654030
  • 1.  TANI Atsusi (90118969)
    # of Collaborated Projects: 22 results
    # of Collaborated Products: 0 results
  • 2.  SHIMOMURA Shun (00154328)
    # of Collaborated Projects: 14 results
    # of Collaborated Products: 0 results
  • 3.  ISHIKAWA Shiro (10051913)
    # of Collaborated Projects: 11 results
    # of Collaborated Products: 0 results
  • 4.  MAEDA Yoshiaki (40101076)
    # of Collaborated Projects: 10 results
    # of Collaborated Products: 0 results
  • 5.  SHIOKAWA Ietaka (00015835)
    # of Collaborated Projects: 9 results
    # of Collaborated Products: 0 results
  • 6.  ISHII Ippei (90051929)
    # of Collaborated Projects: 7 results
    # of Collaborated Products: 0 results
  • 7.  MISAWA Masashi (40242672)
    # of Collaborated Projects: 7 results
    # of Collaborated Products: 0 results
  • 8.  ITO Yuji (90112987)
    # of Collaborated Projects: 6 results
    # of Collaborated Products: 0 results
  • 9.  MAEJIMA Makoto (90051846)
    # of Collaborated Projects: 6 results
    # of Collaborated Products: 0 results
  • 10.  TANAKA Hiroshi (70011468)
    # of Collaborated Projects: 6 results
    # of Collaborated Products: 0 results
  • 11.  NAKANO Minoru (00051607)
    # of Collaborated Projects: 6 results
    # of Collaborated Products: 0 results
  • 12.  KUNIMATSU Noboru (70051662)
    # of Collaborated Projects: 4 results
    # of Collaborated Products: 0 results
  • 13.  NAKADA Hitoshi (40118980)
    # of Collaborated Projects: 4 results
    # of Collaborated Products: 0 results
  • 14.  OMATA Seiro (20214223)
    # of Collaborated Projects: 4 results
    # of Collaborated Products: 0 results
  • 15.  OBATA Morio (90087015)
    # of Collaborated Projects: 3 results
    # of Collaborated Products: 0 results
  • 16.  KANAI Masahiko (70183035)
    # of Collaborated Projects: 3 results
    # of Collaborated Products: 0 results
  • 17.  NODERA Takashi (50156212)
    # of Collaborated Projects: 3 results
    # of Collaborated Products: 0 results
  • 18.  利根川 吉広 (80296748)
    # of Collaborated Projects: 3 results
    # of Collaborated Products: 0 results
  • 19.  河添 健 (90152959)
    # of Collaborated Projects: 3 results
    # of Collaborated Products: 0 results
  • 20.  渋谷 政昭 (20146723)
    # of Collaborated Projects: 3 results
    # of Collaborated Products: 0 results
  • 21.  田村 要造 (50171905)
    # of Collaborated Projects: 3 results
    # of Collaborated Products: 0 results
  • 22.  星野 慶介 (70327162)
    # of Collaborated Projects: 3 results
    # of Collaborated Products: 1 results
  • 23.  MORIYOSHI Hitoshi (00239708)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 24.  TOHGE Kazuya (30260558)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 25.  小泉 澄之 (20051162)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 26.  山浦 義彦 (90255597)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 27.  宮島 英紀 (70166180)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 28.  林 喜代司 (00102004)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 29.  KAMETANI Yokio (70253581)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 30.  TAKAYAMA Masahiro (90338252)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 31.  KIMURA Hironobu (40161575)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 32.  HANAOKA Yoshishige (30208665)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 33.  ISHIGAKI Katsuya (60202991)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 34.  榎本 彦衛 (00011669)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 35.  青木 圭子 (90252163)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 36.  栗原 光信 (50027372)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 37.  立川 篤 (50188257)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 38.  戸瀬 信之 (00183492)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 39.  楯 辰也 (00317299)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 40.  KASHIWAGI Masahiro
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results

URL: 

Are you sure that you want to connect your ORCID iD to this researcher?
* This action can be performed only by the researcher themselves.

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