KOBAYASI Kazuo 小林和夫

Researcher Number	80103612
Other IDs
Affiliation (based on the past Project Information) *help	2021: 早稲田大学, 教育・総合科学学術院, 教授 2010 – 2018: 早稲田大学, 教育・総合科学学術院, 教授
Review Section/Research Field	Principal Investigator Global analysis Except Principal Investigator Basic analysis / Mathematical analysis
Keywords	Principal Investigator 退化放物型 / 実解析 / 非線形現象 / 非線形保存方程式系 / Riemann問題 / 非線形退化放物方程式 / Kinetic解 / Entropy解 / 関数方程式 / 波面追跡法 … More / 非線形保存型方程式 / リーマン問題 / 非線形退化放物型方程式 / Kinetic 解 / エントロピー解 … More Except Principal Investigator 発展方程式 / リプシッツ作用素半群 / バナッハ空間 / 非線形半群 / 実関数論 / 解析学 / つ非線形保存型方程式 / 非拡大型写像 / 変動指数 / 常微分方程式 / 非線形保存型偏微分方程式 / Besov Morrey空間 / 抽象準線形発展方程式 / kinetic解 / Busemann空間 / Triebel-Lizorkin空間 / 単独保存則方程式 / 衝撃波許容条件 / サイズ構造人口モデル / 乗法的確率外力 / 保存型偏微分方程式 / 変異方程式 / 準線形発展方程式 / 函数方程式論 / 関数方程式論 / ハミルトン・ヤコビ方程式 / 最適制御 / 漸近問題 / 退化楕円型方程式 / 粘性解 / 関数方程式 / 保存型方程式 / 波面追跡法 / 解析的半群 / 準線形散逸的波動方程式 / リプシッツ作用素 / 準縮小作用素 / リプシッツ発展作用素 / 非線形保存型方程式 / 抽象的Cauchy問題 / 弱連続作用素 / 保存則方程式系 / 乗法的確率外力項 / 運動力学的な解 / ジャンプ / 区分的に線形な不連続関数 / 弱連続生成素 / 動力学的定式化 / 非線形摂動 / 保存則系 / 非線形発展方程式 Less

New developments of the theory of viscosity solutions and its applications
- Principal Investigator
  
  Ishii Hitoshi
- Project Period (FY)
  2016 – 2019
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Mathematical analysis
- Research Institution
  Tsuda University
  Waseda University
Basic theory of Lipschitz evolution operators and applications
- Principal Investigator
  
  KOBAYASHI Yoshikazu
- Project Period (FY)
  2016 – 2018
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Basic analysis
- Research Institution
  Chuo University
Generation, convergence and approximation of Lipschitz evolution operators in Banach spaces
- Principal Investigator
  
  Yoshikazu Kobayashi
- Project Period (FY)
  2013 – 2015
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Basic analysis
- Research Institution
  Chuo University
Entropy solutions for nonlinear degenerate parabolic equations and hyperbolic systems of conservation lawsPrincipal Investigator
- Principal Investigator
  
  KOBAYASI Kazuo
- Project Period (FY)
  2010 – 2012
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Global analysis
- Research Institution
  Waseda University

All 2018 2017 2016 2015 2014 2013 2012 Other

All Journal Article Presentation Book

[Book] 非線形半群講義　-単独保存則への応用を中心に-2018
- Author(s)
  小林良和
- Total Pages
  106
- Publisher
  中央大学数学教室講究録
- Data Source
  KAKENHI-PROJECT-16K05212
[Journal Article] Well-posedness for stochastic scalar conservation laws with the initial-boundary condition2018
- Author(s)
  Kobayasi Kazuo, Noboriguchi Dai
- Journal Title
  
  Journal of Mathematical Analysis and Applications
  
  Volume: 461 Issue: 2 Pages: 1416-1458
- DOI
  10.1016/j.jmaa.2018.01.054
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-16K05212, KAKENHI-PROJECT-16H03948
[Journal Article] 距離空間におけるリプシッツ作用素半群2018
- Author(s)
  小林良和
- Journal Title
  
  第57回実函数論・函数解析学合同シンポジウム講演集
  
  Volume: - Pages: 33-52
- Open Access
- Data Source
  KAKENHI-PROJECT-16K05212
[Journal Article] Well-posedness for stochastic scalar conservation laws with the initial-boundary condition2018
- Author(s)
  K. Kobayasi and D. Noboriguchi
- Journal Title
  
  Journal of Mathematical analysis and Applications
  
  Volume: 461 Pages: 1416-1458
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-16K05212
[Journal Article] A time-splittimg approach to quasilinear degenerate parabolic partial differential equations2016
- Author(s)
  Kazuo Kobayasi and Dai Noboriguchi
- Journal Title
  
  Differential and Integral Equations
  
  Volume: 29 Pages: 1139-1166
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-16K05212
[Journal Article] A stochastic coservation law nonhomogeneous Dirichlet boundary conditions,2016
- Author(s)
  Kazuo Kobayasi and Dai Noboriguchi
- Journal Title
  
  Act. Mathematica Vietnamica
  
  Volume: 未定
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-25400145
[Journal Article] A stochastic conservation laws with nonhomogeneous Dirichlet boundary conditions2016
- Author(s)
  Kazuo Kobayasi and Dai Noboriguchi
- Journal Title
  
  Act Mathematica Vietnamica
  
  Volume: 41 Pages: 607-632
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-16K05212
[Journal Article] Renomalized solutions to stochastic conservation laws2014
- Author(s)
  Kazuo Kobayasi and Dai Noboriguchi
- Journal Title
  
  早稲田大学教育・総合科学学術院　学術研究(自然科学編）
  
  Volume: ６３ Pages: 31-45
- Data Source
  KAKENHI-PROJECT-25400145
[Journal Article] Methods for proving some properties of the Ito integral in unfinite dimensions2013
- Author(s)
  Kazuo Kobayasi and Dai Noboriguchi
- Journal Title
  
  早稲田大学教育学部「学術研究」－自然科学編ー
  
  Volume: 62 Pages: 33-51
- Data Source
  KAKENHI-PROJECT-25400145
[Journal Article] Uniqueness and existence for anisotropic degenerate parabolic equations with boundary conditions on a bounded rectangle2012
- Author(s)
  Kazuo Kobayasi and Hiroki Ohwa
- Journal Title
  
  Journal of Differential Equations
  
  Volume: 252 Issue: 1 Pages: 137-167
- DOI
  10.1016/j.jde.2011.09.008
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-22540235
[Presentation] 離空間におけるリプシッツ作用素半群2018
- Author(s)
  小林良和
- Organizer
  第57回実函数論・函数解析学合同シンポジウム
- Invited
- Data Source
  KAKENHI-PROJECT-16K05212
[Presentation] 確率保存則方程式に対する非斉次Dirichlet問題の適切性2017
- Author(s)
  登口大，小林和夫
- Organizer
  日本数学会2017年度年会・実函数論分科会
- Place of Presentation
  首都大学東京
- Year and Date
  2017-03-24
- Data Source
  KAKENHI-PROJECT-16K05212
[Presentation] 確率外力を持つ退化放物型方程式の解の存在定理2016
- Author(s)
  登口大，小林和夫
- Organizer
  日本数学会2016年度年会
- Place of Presentation
  筑波大学
- Year and Date
  2016-03-16
- Data Source
  KAKENHI-PROJECT-25400145
[Presentation] 確率保存則方程式に対する初期値・境界値問題の適切性2016
- Author(s)
  登口大，小林和夫
- Organizer
  第４２回発展方程式研究会
- Place of Presentation
  日本女子大学
- Year and Date
  2016-12-25
- Data Source
  KAKENHI-PROJECT-16K05212
[Presentation] Mutational equation に対する適切性定理について2015
- Author(s)
  小林良和, 田中直樹
- Organizer
  第41回発展方程式研究会
- Place of Presentation
  日本女子大学目白キャンパス
- Year and Date
  2015-12-25
- Data Source
  KAKENHI-PROJECT-25400145
[Presentation] 乗法的確率項を持つ保存型方程式に対する初期値・境界値問題の一意性2014
- Author(s)
  登口大，小林和夫
- Organizer
  日本数学会年会
- Place of Presentation
  学習院大学(東京、、目白)
- Data Source
  KAKENHI-PROJECT-25400145
[Presentation] バナッハ空間における非線形発展作用素と常微分方程式2013
- Author(s)
  小林良和
- Organizer
  日本数学会秋季総合分科会
- Place of Presentation
  愛媛大学（松本）
- Invited
- Data Source
  KAKENHI-PROJECT-25400145
[Presentation] Well-posedness for ansisotropic degenerate parabolic equations with non-homogeneous boundary condition2012
- Author(s)
  Kazuo Kobayasi
- Organizer
  9 th AIMS international conference on Dynamical Systems, Differential Equations and Applications
- Place of Presentation
  Orlando, Florida, USA
- Data Source
  KAKENHI-PROJECT-22540235
[Presentation] Well-posedness for ansisotropic degenerate parabolic equations with non-homogeneous boundary condition2012
- Author(s)
  Kazuo Kobayasi
- Organizer
  9^<th> AIM international conference on Dynamical Systems, Differential Equations and Applications
- Place of Presentation
  Orland, Florida, USA
- Data Source
  KAKENHI-PROJECT-22540235
[Presentation] 確率保存型方程式に対する非斉次Dirichlet 問題の解の存在定理
- Author(s)
  登口大,小林和夫
- Organizer
  日本数学会秋季総合分科会
- Place of Presentation
  広島大学
- Year and Date
  2014-09-25 – 2014-09-28
- Data Source
  KAKENHI-PROJECT-25400145

1. OHWA Hiroki (10549158)

# of Collaborated Projects: 3 results

# of Collaborated Products: 1 results
2. Yoshikazu Kobayashi (80092691)

# of Collaborated Projects: 2 results

# of Collaborated Products: 17 results
3. MATSUMOTO Toshitaka (20229561)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
4. TAKAGI Satoru (50367017)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
5. Ishii Hitoshi (70102887)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
6. 儀我美一 (70144110)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
7. 三上敏夫 (70229657)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
8. 小池茂昭 (90205295)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
9. 三竹大寿 (90631979)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
10. 野井貴弘 (90736555)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
11. TOMIZAWA Yukino

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results

KOBAYASI Kazuo 小林 和夫

Research Projects

Research Products

Co-Researchers

New developments of the theory of viscosity solutions and its applications

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Basic theory of Lipschitz evolution operators and applications

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Generation, convergence and approximation of Lipschitz evolution operators in Banach spaces

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Entropy solutions for nonlinear degenerate parabolic equations and hyperbolic systems of conservation lawsPrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

[Book] 非線形半群講義 -単独保存則への応用を中心に-2018

Author(s)

Total Pages

Publisher

Data Source

[Journal Article] Well-posedness for stochastic scalar conservation laws with the initial-boundary condition2018

Author(s)

Journal Title

DOI

Data Source

[Journal Article] 距離空間におけるリプシッツ作用素半群2018

Author(s)

Journal Title

Data Source

[Journal Article] Well-posedness for stochastic scalar conservation laws with the initial-boundary condition2018

Author(s)

Journal Title

Data Source

[Journal Article] A time-splittimg approach to quasilinear degenerate parabolic partial differential equations2016

Author(s)

Journal Title

Data Source

[Journal Article] A stochastic coservation law nonhomogeneous Dirichlet boundary conditions,2016

Author(s)

Journal Title

Data Source

[Journal Article] A stochastic conservation laws with nonhomogeneous Dirichlet boundary conditions2016

Author(s)

Journal Title

Data Source

[Journal Article] Renomalized solutions to stochastic conservation laws2014

Author(s)

Journal Title

Data Source

[Journal Article] Methods for proving some properties of the Ito integral in unfinite dimensions2013

Author(s)

Journal Title

Data Source

[Journal Article] Uniqueness and existence for anisotropic degenerate parabolic equations with boundary conditions on a bounded rectangle2012

Author(s)

Journal Title

DOI

Data Source

[Presentation] 離空間におけるリプシッツ作用素半群2018

Author(s)

Organizer

Data Source

[Presentation] 確率保存則方程式に対する非斉次Dirichlet問題の適切性2017

Author(s)

Organizer

Place of Presentation

Year and Date

KOBAYASI Kazuo 小林和夫

[Book] 非線形半群講義　-単独保存則への応用を中心に-2018