Yamauchi Yusuke 山内雄介

… Alternative Names

山内雄介ヤマウチユウスケ

YAMAUCHI Yusuke 山内雄介

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Researcher Number	00451435
Other IDs
Affiliation (Current)	2025: 広島工業大学, 情報学部, 准教授
Affiliation (based on the past Project Information) *help	2017: 広島工業大学, 工学部, 准教授 2014 – 2016: 広島工業大学, 工学部, 助教 2012: 早稲田大学, 重点領域研究機構, 次席研究員 2012: 早稲田大学, 重点領域研究機構, 研究員 2011: 早稲田大学, 理工学術院, 助教
Review Section/Research Field	Principal Investigator Global analysis Except Principal Investigator Basic analysis / Global analysis
Keywords	Principal Investigator 反応拡散方程式 / 解の爆発 / 非線形放物型方程式 / 非線形偏微分方程式 Except Principal Investigator ポテンシャル / 変動指数 / ソボレフの定理 / 偏微分方程式 / 変動指数をもつ関数空間 / ソボレフの不等式 … More / 関数空間 / ポテンシャル論 / Sovolev theorem / variable exponent / function space / 非線型放物型方程式 / 解の爆発 / 関数方程式の大域理論 Less

A new trend of function spaces with variable exponents
- Principal Investigator
  
  Mizuta Yoshihiro
- Project Period (FY)
  2014 – 2017
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Basic analysis
- Research Institution
  Hiroshima University
  Hiroshima Institute of Technology
Study on asymmetry and anisotropy in blow-up theory for nonlinear parabolic equations
- Principal Investigator
  
  OZAWA Tohru
- Project Period (FY)
  2011 – 2012
- Research Category
  
  Grant-in-Aid for Challenging Exploratory Research
- Research Field
  
  Global analysis
- Research Institution
  Waseda University
Classification by the matrix representing the nonlinearity of the blowing up solutions for a reaction-diffusion systemPrincipal Investigator
- Principal Investigator
  
  YAMAUCHI Yusuke
- Project Period (FY)
  2011 – 2012
- Research Category
  
  Grant-in-Aid for Young Scientists (B)
- Research Field
  
  Global analysis
- Research Institution
  Waseda University

All 2017 2013 2012 2011 Other

All Journal Article Presentation

[Journal Article] Growth properties near the origin for generalized Riesz potentials2017
- Author(s)
  Yoshihiro Mizuta, Takao Ohno, Tetsu Shimomura and Yusuke Yamauchi
- Journal Title
  
  J. Math. Anal. Appl.
  
  Volume: 54 Issue: 1 Pages: 285-302
- DOI
  10.1016/j.jmaa.2017.04.068
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-16K17618, KAKENHI-PROJECT-15K04929, KAKENHI-PROJECT-26400154
[Journal Article] Life span of positive solutions for the Cauchy problem for the parabolic equations.2012
- Author(s)
  Yusuke　Yamauchi
- Journal Title
  
  Int. J. Differ. Equ.
  
  Volume: 2012 Pages: 16-16
- DOI
  10.1155/2012/417261
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-23654064, KAKENHI-PROJECT-23740129
[Journal Article] Life span of solutions for a semilinear heat equation with initial data having positive limit inferior at infinity2011
- Author(s)
  Y. Yamauchi
- Journal Title
  
  Nonlinear Anal
  
  Volume: 74 Issue: 15 Pages: 5008-5014
- DOI
  10.1016/j.na.2011.04.064
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-23654064, KAKENHI-PROJECT-23740129
[Journal Article] Life span of positive solutions for a semilinear heat equation with general non-decaying initial data2011
- Author(s)
  T. Ozawa, Y. Yamauchi
- Journal Title
  
  J. Math. Anal. Appl
  
  Volume: 379 Issue: 2 Pages: 518-523
- DOI
  10.1016/j.jmaa.2011.01.050
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-23654064
[Journal Article] Life span of positive solutions for a semilinear heat equation with general non-decaying initial data2011
- Author(s)
  T.Ozawa, Y. Yamauchi
- Journal Title
  
  J. Math. Anal. Appl.
  
  Volume: 379 Pages: 518-523
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-23654064
[Journal Article] Life span of solutions for a semilinear heat equation with initial data having positive limit inferior at infinity.2011
- Author(s)
  Y. Yamauchi
- Journal Title
  
  Nonlinear Anal.
  
  Volume: 74 Pages: 5008-2014
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-23654064
[Presentation] Life span of positive solutions for the Cauchy problem for the parabolic equations2013
- Author(s)
  Y. Yamauchi
- Organizer
  The 14th Northeastern Symposium on Mathematical Analysis
- Place of Presentation
  東北大学
- Invited
- Data Source
  KAKENHI-PROJECT-23740129
[Presentation] Life span of positive solutions for the Cauchy problem for the parabolic equations2013
- Author(s)
  Y. Yamauchi
- Organizer
  The 5th Nagoya Workshop on Differential Equations
- Place of Presentation
  名古屋大学
- Invited
- Data Source
  KAKENHI-PROJECT-23740129
[Presentation] Life span of positive solutions for the Cauchy Problem for the parabolic equations2013
- Author(s)
  Y. Yamauchi
- Organizer
  The 5^<th> Nagoya Workshop on Differential Equations
- Place of Presentation
  名古屋大学
- Year and Date
  2013-03-13
- Data Source
  KAKENHI-PROJECT-23740129
[Presentation] Life span of positive solutions for the Cauchy problem for the parabolic equations2013
- Author(s)
  Yusuke Yamauchi
- Organizer
  The 14th Northeastern Symposium on Mathematical Analysis
- Place of Presentation
  東北大学(招待講演)
- Year and Date
  2013-02-18
- Data Source
  KAKENHI-PROJECT-23654064
[Presentation] Life span of positive solutions for the Cauchy problem for the parabolic equations2013
- Author(s)
  Yusuke Yamauchi
- Organizer
  名古屋微分方程式研究集会
- Place of Presentation
  名古屋大学(招待講演)
- Year and Date
  2013-03-13
- Data Source
  KAKENHI-PROJECT-23654064
[Presentation] Life span of positive solutions for the Cauchy Problem for the parabolic equations2013
- Author(s)
  Y. Yamauchi
- Organizer
  The 14^<th> Northeastern Symposium on mathematical Analysis
- Place of Presentation
  東北大学
- Year and Date
  2013-02-18
- Data Source
  KAKENHI-PROJECT-23740129
[Presentation] Life span of positive solutions for a semilinear heat equation with nondecaying initial data2012
- Author(s)
  Yusuke Yamauchi
- Organizer
  The 9th AIMS Conference on Dynamical Systems, Differential Equations and Applications
- Place of Presentation
  Hyatt Regency Grand Cypress, Orlando, Florida, USA(招待講演)
- Year and Date
  2012-07-03
- Data Source
  KAKENHI-PROJECT-23654064
[Presentation] Life span of positive solutions for the Cauchy problem for the parabolic equations2012
- Author(s)
  山内雄介
- Organizer
  2012年度日本数学会秋季総合分科会
- Place of Presentation
  九州大学
- Data Source
  KAKENHI-PROJECT-23740129
[Presentation] Life span of positive solutions for a semilinear heat equation with nondecaying initial data2012
- Author(s)
  Y. Yamauchi
- Organizer
  The 9th AIMS Conference on Dynamical Systems, Differential Equations and Applications
- Place of Presentation
  Hyatt Regency Grand Cypress, Orlando, Florida, USA
- Invited
- Data Source
  KAKENHI-PROJECT-23740129
[Presentation] Life span of positive solutions for a semilinear heat equation with nondecaying initial data2012
- Author(s)
  Y. Yamauchi
- Organizer
  The 9^<th> AIMS Conference on Dynamical Systems, Differential Equations and Applications
- Place of Presentation
  Orlando, Florida, USA
- Year and Date
  2012-07-03
- Data Source
  KAKENHI-PROJECT-23740129
[Presentation] Life span of positive solutions for the Cauchy problem for the parabolic equations2012
- Author(s)
  Yusuke Yamauchi
- Organizer
  2012 年度日本数学会秋季総合分科会
- Place of Presentation
  九州大学
- Year and Date
  2012-09-20
- Data Source
  KAKENHI-PROJECT-23654064
[Presentation] Life span of positive solutions for the Cauchy Problem for the parabolic equations2012
- Author(s)
  Y. Yamauchi
- Organizer
  2012年度日本数学会秋季総合分科会
- Place of Presentation
  九州大学
- Year and Date
  2012-09-20
- Data Source
  KAKENHI-PROJECT-23740129
[Presentation] Life span of positive solutions for a semilinear heat equation with nondecaying initial data2011
- Author(s)
  Yusuke Yamauchi
- Organizer
  第4回日独流体数学国際研究集会
- Place of Presentation
  早稲田大学(招待講演)
- Year and Date
  2011-12-01
- Data Source
  KAKENHI-PROJECT-23654064
[Presentation] Life span of positive solutions for a semilinear heat equation with nondecaying initial data2011
- Author(s)
  Yusuke Yamauchi
- Organizer
  The 36th Sapporo Symposium on Partial Differential Equations(招待講演)
- Place of Presentation
  北海道大学
- Data Source
  KAKENHI-PROJECT-23654064
[Presentation] 無限遠方にて減衰しない初期値に対する熱方程式の解の爆発時刻に関する指向性を持つ評価2011
- Author(s)
  Y. Yamauchi
- Organizer
  2011年度日本数学会秋季総合分科会
- Place of Presentation
  信州大学
- Year and Date
  2011-09-30
- Data Source
  KAKENHI-PROJECT-23740129
[Presentation] Life span of positive solutions for a semilinear heat equation with nondecaying initial data2011
- Author(s)
  Y. Yamauchi
- Organizer
  One Forum, Two Cities : Aspect of Nonlinear PDEs
- Place of Presentation
  National Taiwan University
- Year and Date
  2011-08-30
- Data Source
  KAKENHI-PROJECT-23740129
[Presentation] Life span of positive solutions for a semilinear heat equation with nondecaying initial data2011
- Author(s)
  Y. Yamauchi
- Organizer
  RIMS研究集会非平衡非線形現象の解析-発展方程式の立場から-
- Place of Presentation
  京都大学数理解析研究所
- Year and Date
  2011-10-24
- Data Source
  KAKENHI-PROJECT-23740129
[Presentation] Life span of positive solutions for a semilinear heat equation with nondecaying initial data2011
- Author(s)
  Yusuke Yamauchi
- Organizer
  One Forum, Two Cities: Aspect of Nonlinear PDEs(招待講演)
- Place of Presentation
  National Taiwan University
- Data Source
  KAKENHI-PROJECT-23654064
[Presentation] Life span of positive solutions for a semilinear heat equation with nondecaying initial data2011
- Author(s)
  Yusuke Yamauchi
- Organizer
  第4回日独流体数学国際研究集会(招待講演)
- Place of Presentation
  早稲田大学
- Data Source
  KAKENHI-PROJECT-23654064
[Presentation] Life span of positive solutions for a semilinear heat equation with nondecaying initial data2011
- Author(s)
  Y. Yamauchi
- Organizer
  The 36^<th> Sapporo Symposium on Partial Differential Equations
- Place of Presentation
  北海道大学
- Year and Date
  2011-08-23
- Data Source
  KAKENHI-PROJECT-23740129
[Presentation] Life span of positive solutions for a semilinear heat equation with nondecaying initial data2011
- Author(s)
  Yusuke Yamauchi
- Organizer
  One Forum, Two Cities: Aspect of nonlinear PDEs
- Place of Presentation
  National Taiwan University(招待講演)
- Year and Date
  2011-08-30
- Data Source
  KAKENHI-PROJECT-23654064
[Presentation] Life span of positive solutions for a semilinear heat equation with nondecaying initial data2011
- Author(s)
  Yusuke Yamauchi
- Organizer
  RIMS 研究集会非平衡非線形現象の解析 -発展方程式の立場から-(招待講演)
- Place of Presentation
  京都大学数理解析研究所
- Data Source
  KAKENHI-PROJECT-23654064
[Presentation] 無限遠方にて減衰しない初期値に対する熱方程式の解の爆発時刻に関する指向性を持つ評価2011
- Author(s)
  山内雄介
- Organizer
  2011 年度日本数学会秋季総合分科会(招待講演)
- Place of Presentation
  信州大学
- Data Source
  KAKENHI-PROJECT-23654064
[Presentation] Life span of positive solutions for a semilinear heat equation with nondecaying initial data2011
- Author(s)
  Y. Yamauchi
- Organizer
  The 4^<th> Japanese-German International Workshop on Mathematical Fluid Dynamics
- Place of Presentation
  早稲田大学
- Year and Date
  2011-12-01
- Data Source
  KAKENHI-PROJECT-23740129
[Presentation] 無限遠方にて減衰しない初期値に対する熱方程式の解の爆発時刻に関する指向性を持つ評価2011
- Author(s)
  山内雄介
- Organizer
  2011 年度日本数学会秋季総合分科会
- Place of Presentation
  信州大学(招待講演)
- Year and Date
  2011-09-30
- Data Source
  KAKENHI-PROJECT-23654064
[Presentation] Life span of positive solutions for the Cauchy problem for the parabolic equations
- Author(s)
  Yusuke Yamauchi
- Organizer
  名古屋微分方程式研究集会
- Place of Presentation
  名古屋大学
- Invited
- Data Source
  KAKENHI-PROJECT-23654064
[Presentation] Life span of positive solutions for the Cauchy problem for the parabolic equations
- Author(s)
  Yusuke Yamauchi
- Organizer
  2012年度日本数学会秋季総合分科会
- Place of Presentation
  九州大学
- Data Source
  KAKENHI-PROJECT-23654064
[Presentation] Life span of positive solutions for the Cauchy problem for the parabolic equations
- Author(s)
  Yusuke Yamauchi
- Organizer
  The 14th Northeastern Symposium on Mathematical Analysis
- Place of Presentation
  東北大学
- Invited
- Data Source
  KAKENHI-PROJECT-23654064
[Presentation] Life span of positive solutions for a semilinear heat equation with nondecaying initial data
- Author(s)
  Yusuke Yamauchi
- Organizer
  The 9th AIMS Conference on Dynamical Systems, Differential Equations and Applications
- Place of Presentation
  Hyatt Regency Grand Cypress, Orlando, Florida, USA
- Invited
- Data Source
  KAKENHI-PROJECT-23654064

1. OZAWA Tohru (70204196)

# of Collaborated Projects: 1 results

# of Collaborated Products: 2 results
2. MAEKAWA Yasunori (70507954)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
3. TANAKA Kazunaga (20188288)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
4. Mizuta Yoshihiro (00093815)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
5. 大野貴雄 (40508511)

# of Collaborated Projects: 1 results

# of Collaborated Products: 1 results
6. 小山哲也 (50170402)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results

Yamauchi Yusuke 山内 雄介

山内 雄介 ヤマウチ ユウスケ

YAMAUCHI Yusuke 山内 雄介

Research Projects

Research Products

Co-Researchers

A new trend of function spaces with variable exponents

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Study on asymmetry and anisotropy in blow-up theory for nonlinear parabolic equations

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Classification by the matrix representing the nonlinearity of the blowing up solutions for a reaction-diffusion systemPrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

[Journal Article] Growth properties near the origin for generalized Riesz potentials2017

Author(s)

Journal Title

DOI

Data Source

[Journal Article] Life span of positive solutions for the Cauchy problem for the parabolic equations.2012

Author(s)

Journal Title

DOI

Data Source

[Journal Article] Life span of solutions for a semilinear heat equation with initial data having positive limit inferior at infinity2011

Author(s)

Journal Title

DOI

Data Source

[Journal Article] Life span of positive solutions for a semilinear heat equation with general non-decaying initial data2011

Author(s)

Journal Title

DOI

Data Source

[Journal Article] Life span of positive solutions for a semilinear heat equation with general non-decaying initial data2011

Author(s)

Journal Title

Data Source

[Journal Article] Life span of solutions for a semilinear heat equation with initial data having positive limit inferior at infinity.2011

Author(s)

Journal Title

Data Source

[Presentation] Life span of positive solutions for the Cauchy problem for the parabolic equations2013

Author(s)

Organizer

Place of Presentation

Data Source

[Presentation] Life span of positive solutions for the Cauchy problem for the parabolic equations2013

Author(s)

Organizer

Place of Presentation

Data Source

[Presentation] Life span of positive solutions for the Cauchy Problem for the parabolic equations2013

Author(s)

Organizer

Place of Presentation

Year and Date

Data Source

[Presentation] Life span of positive solutions for the Cauchy problem for the parabolic equations2013

Author(s)

Organizer

Place of Presentation

Year and Date

Data Source

[Presentation] Life span of positive solutions for the Cauchy problem for the parabolic equations2013

Author(s)

Organizer

Place of Presentation

Year and Date

Data Source

Yamauchi Yusuke 山内雄介

山内雄介ヤマウチユウスケ

YAMAUCHI Yusuke 山内雄介