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KOBAYASI Kazuo  小林 和夫

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KOBAYASHI Kazuo  小林 和夫

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Researcher Number 30139589
External Links
Affiliation (based on the past Project Information) *help 2009: 早稲田大学, 教育・総合科学学術院, 教授
2006: Waseda University, School of Education, Professor, 教育・総合科学学術院・教育学部, 教授
2004 – 2006: 早稲田大学, 教育・総合科学学術院, 教授
1998 – 2000: 早稲田大学, 教育学部, 教授
Review Section/Research Field
Principal Investigator
Basic analysis / Global analysis
Except Principal Investigator
Basic analysis / Basic analysis
Keywords
Principal Investigator
kinetic method / comparison theorem / renormalized entropy solution / entropy solution / initial-boundary value problem / degenerate parabolic equation / Kinetic Formulation / Dissipative Solution / Entropy Solution / Renormalized Solution … More / 初期値-境界値問題 / 退化放物型-双曲型 / Kinetic法 / kinetic法 / 比較定理 / 再正規化エントロピー解 / エントロピー解 / 初期値・境界値問題 / 退化放物型方程式 / finite difference / evolution equation / dissipative PDE / inertial manifold / 構造安定性 / 差分近似 / 差分方程式 / 発展方程式 / 散逸型偏微分方程式 / 慣性多様体 … More
Except Principal Investigator
chaos theory / p-hyponormal operator / Pfaffian / Dirac equation / Phase transition / Navier-Stokes equation / Hardy space / Singular integral / Jaynes-Cummingsモデル / Putnam不等式 / Turnbull等式 / ホロノミック系 / 相転移 / Navier-Stokes方程式 / Hardy空間 / D加群 / 量子アルゴリズム / 指数理論 / 作用素環 / 非線型力学系 / 強一意接続定理 / 特異積分 / ハーディ空間 / 強最大値原理 / 比較定理 / 最適制御 / 比較原理 / 数理ファイナンス / 曲率流方程式 / 弱KAM理論 / ハミルトン・ヤコビ方程式 / 粘性解 / 関数方程式 Less
  • Research Projects

    (4 results)
  • Research Products

    (21 results)
  • Co-Researchers

    (19 People)
  •  RESEARCH ON THE THEORY OF VISCOSITY SOLUTIONS OF DIFFERENTIAL EQUATIONS AND ITS APPLICATIONS

    • Principal Investigator
      ISHII Hitoshi
    • Project Period (FY)
      2006 – 2009
    • Research Category
      Grant-in-Aid for Scientific Research (A)
    • Research Field
      Basic analysis
    • Research Institution
      Waseda University
  •  A structure of solutions of initial-boundary value problems for parabolic-hyperbolic equations and applications to numerical analisesPrincipal Investigator

    • Principal Investigator
      KOBAYASI Kazuo
    • Project Period (FY)
      2004 – 2006
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Basic analysis
    • Research Institution
      Waseda University
  •  Discrete approximations and stability properties of inertial manifolds for dissipative differential equationsPrincipal Investigator

    • Principal Investigator
      KOBAYASHI Kazuo
    • Project Period (FY)
      1999
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Global analysis
    • Research Institution
      Waseda University
  •  Comprehensive Study of Real Analysis and Functional Analysis

    • Principal Investigator
      MIYACHI Akihiko
    • Project Period (FY)
      1999 – 2000
    • Research Category
      Grant-in-Aid for Scientific Research (A).
    • Research Field
      Basic analysis
    • Research Institution
      Tokyo Woman's Christian University

All 2008 2007 2006 2005 2004 Other

All Journal Article Presentation

  • [Journal Article] Remarks on BV estimates for vanishing viscosity approximations to hyperbolic systems2007

    • Author(s)
      K.Kobayasi, H.Ohwa
    • Journal Title

      Gakujutu Kenkyu-Mathematics, School of Education, Waseda University 55

      Pages: 1-14

    • NAID

      120001293392

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-16540174
  • [Journal Article] Remarks on BV estimates for vanishing viscosity approximations to hyperbolic systems2007

    • Author(s)
      Kazuo Kobayasi, Hiroki Ohwa
    • Journal Title

      早稲田大学教育学部学術研究(数学偏) 55

      Pages: 1-14

    • NAID

      120001293392

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-16540174
  • [Journal Article] Remarks on BV estimates for vanishing viscosity approximations to hyperbolic systems2007

    • Author(s)
      Kazuo Kobayasi, Hiroki Ohwa
    • Journal Title

      早稲田大学教育学部学術研究-数学編- 55

      Pages: 1-14

    • NAID

      120001293392

    • Data Source
      KAKENHI-PROJECT-16540174
  • [Journal Article] A kinetic approach to comparison properties for degenerate parabolic-hyperbolic equations with boundary conditions2006

    • Author(s)
      K.Kobayasi
    • Journal Title

      J. Differential Equations 230

      Pages: 682-701

    • Data Source
      KAKENHI-PROJECT-18204009
  • [Journal Article] The relationship between kinetic solutions and renormalized Entropy solutions of scalar conservation laws2006

    • Author(s)
      Satomi Ishikawa, Kazuo Kobayasi
    • Journal Title

      Proceedings of the conference on Differential & Difference equations and applications

      Pages: 433-440

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-16540174
  • [Journal Article] A kinetic approach to a comparison theorem for degenerate parabolic equations2006

    • Author(s)
      K.Kobayasi
    • Journal Title

      Kokyuroku, RIMS, Kyoto University 1475

      Pages: 155-166

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-16540174
  • [Journal Article] On the existence of renormalized dissipative solutions via relaxation for conservatoin laws2006

    • Author(s)
      Kazuo Kobayashi, Satoru Takagi
    • Journal Title

      Hyperbolic Problem : Theory, Numerics and Applications 2

      Pages: 101-108

    • Data Source
      KAKENHI-PROJECT-16540174
  • [Journal Article] The relationship between kinetic solutions and renormalized entropy solutions of scalar conservation laws2006

    • Author(s)
      Satomi Ishikawa, Kazuo Kobayasi
    • Journal Title

      Proceedings of the conference on Differential & Difference equations and Applications

      Pages: 433-440

    • Data Source
      KAKENHI-PROJECT-16540174
  • [Journal Article] A kinetic approach to a comparison theorem for degenerate parebolic equations2006

    • Author(s)
      Kazuo Kobayasi
    • Journal Title

      京都大学数理解析研究所講究録 1475

      Pages: 155-166

    • Data Source
      KAKENHI-PROJECT-16540174
  • [Journal Article] A kinetic approach to a comparison theorem for degenerate parabolic equations2006

    • Author(s)
      Kazuo Kobayasi
    • Journal Title

      京都大学数理解析研究所講究録 1475

      Pages: 155-166

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-16540174
  • [Journal Article] The relationship between kinetic solutions and renormalized entropy solutions of scalar conservation laws2006

    • Author(s)
      S.Ishikawa, K.Kobayasi
    • Journal Title

      Proceedings of the conference on Differential & Difference equations and Applications (Hindaui Corporation)

      Pages: 433-440

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-16540174
  • [Journal Article] On the existence of renormalized dissipative solutions via Relaxation for conservation laws2006

    • Author(s)
      Kazuo Kobayasi, Satoru Takagi
    • Journal Title

      Hyperbolic Problem : Theory, Numerics and Applications 2

      Pages: 101-108

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-16540174
  • [Journal Article] A kinetic approach to comparison properties for degenerate parabolic-hyperbolic equations with boundary conditions2006

    • Author(s)
      Kazuo Kobayasi
    • Journal Title

      J. Differential Equations 230

      Pages: 682-701

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-16540174
  • [Journal Article] On the existence of renormalized dissipative solutions via relaxation for conservation laws2006

    • Author(s)
      K.Kobayasi, S.Takagi
    • Journal Title

      Hyperbolic Problem : Theory, Numerics and Applications-II

      Pages: 101-108

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-16540174
  • [Journal Article] On the existence of renormalized dissipative solutions via relaxation for conservation laws2006

    • Author(s)
      Kazuo Kobayasi, Satoru Takagi
    • Journal Title

      Hyperbolic Problems : Theory, Numercs and Applications

      Pages: 101-108

    • Data Source
      KAKENHI-PROJECT-16540174
  • [Journal Article] A kinetic approach to comparison properties for degenerate parabolic- hyperbolic equations with boundary conditions2006

    • Author(s)
      K.Kobayasi
    • Journal Title

      J. Differential quations 230

      Pages: 682-701

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-16540174
  • [Journal Article] An equivalent definition of renormalized entropy solutions for scalar conservation laws2005

    • Author(s)
      Kazuo Kobayasi, Satoru Takagi
    • Journal Title

      Differential and Integral Equations 18

      Pages: 19-33

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-16540174
  • [Journal Article] An equivalent definition of renormalized entropy solutions for scalar conservation laws2005

    • Author(s)
      K.Kobayasi, S.Takagi
    • Journal Title

      Differential and Integral Equations 18

      Pages: 19-33

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-16540174
  • [Journal Article] On the existence of renormalized dissipative solutions via relaxation for conservation laws2004

    • Author(s)
      Kazuo Kobayasi, Satoru Takagi
    • Journal Title

      the Proceedings of HYP2004 (to appear)

    • Data Source
      KAKENHI-PROJECT-16540174
  • [Journal Article] A kinetic approach to a comparison theorem for degenerate parabolic equations

    • Author(s)
      Kazuo Kobayasi
    • Journal Title

      京都大学数理解析研究所講究録

    • Data Source
      KAKENHI-PROJECT-16540174
  • [Presentation] 非線形双曲型保存則系の衝撃波曲線の大域的存在2008

    • Author(s)
      H. Ohwa, K. Kobayasi, T. Takahashi, K. Kishi
    • Organizer
      日本数学会年会
    • Place of Presentation
      近畿大学
    • Year and Date
      2008-03-25
    • Data Source
      KAKENHI-PROJECT-18204009
  • 1.  ISHII Hitoshi (70102887)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 2.  OTANI Mitsuharu (30119656)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 3.  GIGA Yoshikazu (70144110)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 4.  NAGI Hideo (70110848)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 5.  KOIKE Shigeaki (90205295)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 6.  MIKAMI Toshio (70229657)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 7.  YAMADA Naoki (50030789)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 8.  GOTO Syun'ichi (30225651)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 9.  ISHII Katsuyuki (40232227)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 1 results
  • 10.  FUJITA Yasuhiro (10209067)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 11.  OHNUMA Masaki (90304500)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 12.  MIYACHI Akihiko (60107696)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 13.  WAKAYAMA Masato (40201149)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 14.  CHO Muneo (10091620)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 15.  OHYA Masanori (90112896)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 16.  OKAJI Takashi (20160426)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 17.  片山 良一 (10093395)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 18.  田島 慎一 (70155076)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 19.  高木 悟 (50367017)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 7 results

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