KOBAYASI Kazuo 小林和夫

Researcher Number	30139589
External Links
Affiliation *help	2009 : 早稲田大学, 教育・総合科学学術院, 教授 2004 – 2006 : 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 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 初期値・境界値問題 / Renormalized Solution / entropy solution / degenerate parabolic equation / エントロピー解 / inertial manifold / dissipative PDE / 退化放物型方程式 / Entropy Solution / 発展方程式 … More Except Principal Investigator ハーディ空間 / 強最大値原理 / 最適制御 / Phase transition / 作用素環 / Dirac equation / Pfaffian / Jaynes-Cummingsモデル / Turnbull等式 / 曲率流方程式 / 弱KAM理論 / 関数方程式 / 非線型力学系 / chaos theory / 量子アルゴリズム / 強一意接続定理 / Navier-Stokes方程式 / Hardy space / 比較定理 / Singular integral / 特異積分 / Putnam不等式 / p-hyponormal operator / ハミルトン・ヤコビ方程式 / ホロノミック系 / D加群 / 比較原理 / 相転移 / Hardy空間 / 指数理論 / 粘性解 / Navier-Stokes equation / 数理ファイナンス Less

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)
  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
- Data Source
  KAKENHI-PROJECT-16540174
[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
- 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
- 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)
  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] 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 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] 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] 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] 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] 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] 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] 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] 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] 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)

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2. OTANI Mitsuharu (30119656)

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3. GIGA Yoshikazu (70144110)

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4. NAGI Hideo (70110848)

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5. KOIKE Shigeaki (90205295)

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6. MIKAMI Toshio (70229657)

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7. YAMADA Naoki (50030789)

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8. GOTO Syun'ichi (30225651)

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9. ISHII Katsuyuki (40232227)

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10. FUJITA Yasuhiro (10209067)

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11. OHNUMA Masaki (90304500)

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12. MIYACHI Akihiko (60107696)

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13. WAKAYAMA Masato (40201149)

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14. CHO Muneo (10091620)

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15. OHYA Masanori (90112896)

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16. OKAJI Takashi (20160426)

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17. 片山良一 (10093395)

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18. 田島慎一 (70155076)

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19. 高木悟 (50367017)

# of Collaborated Projects : 1results

# of Collaborated Products : 7results

KOBAYASI Kazuo 小林 和夫

Research Projects

Research Products

Co-Researchers

RESEARCH ON THE THEORY OF VISCOSITY SOLUTIONS OF DIFFERENTIAL EQUATIONS AND ITS APPLICATIONS

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

A structure of solutions of initial-boundary value problems for parabolic-hyperbolic equations and applications to numerical analisesPrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Discrete approximations and stability properties of inertial manifolds for dissipative differential equationsPrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Comprehensive Study of Real Analysis and Functional Analysis

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

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

Author(s)

Journal Title

Data Source

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

Author(s)

Journal Title

Description

Data Source

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

Author(s)

Journal Title

Description

Data Source

[Journal Article] The relationship between kinetic solutions and renormalized entropy solutions of scalar conservation laws2006

Author(s)

Journal Title

Description

Data Source

[Journal Article] On the existence of renormalized dissipative solutions via relaxation for conservation laws2006

Author(s)

Journal Title

Description

Data Source

[Journal Article] On the existence of renormalized dissipative solutions via relaxation for conservation laws2006

Author(s)

Journal Title

Data Source

[Journal Article] On the existence of renormalized dissipative solutions via relaxation for conservatoin laws2006

Author(s)

Journal Title

Data Source

[Journal Article] The relationship between kinetic solutions and renormalized entropy solutions of scalar conservation laws2006

Author(s)

Journal Title

Data Source

[Journal Article] A kinetic approach to a comparison theorem for degenerate parebolic equations2006

Author(s)

Journal Title

Data Source

[Journal Article] A kinetic approach to comparison properties for degenerate parabolic-hyperbolic equations with boundary conditions2006

Author(s)

Journal Title

Data Source

[Journal Article] A kinetic approach to comparison properties for degenerate parabolic- hyperbolic equations with boundary conditions2006

Author(s)

Journal Title

Description

Data Source

[Journal Article] A kinetic approach to a comparison theorem for degenerate parabolic equations2006

Author(s)

Journal Title

KOBAYASI Kazuo 小林和夫