AKAGI Goro 赤木剛朗

Researcher Number	40433768
Affiliation (based on the past Project Information) *help	2011: 神戸大学, 大学院・システム情報学研究科, 准教授 2009 – 2010: Shibaura Institute of Technology, システム理工学部, 准教授 2007 – 2008: Shibaura Institute of Technology, システム工学部, 講師
Review Section/Research Field	Principal Investigator Basic analysis
Keywords	Principal Investigator 変分法 / 解の漸近挙動 / 非線形解析 / 関数解析 / 偏微分方程式 / 発展方程式 / 非線型解析 / 安定性解析 / 非線形拡散 / 放物型方程式 … More / 関数解析学 / 関数方程式論 / 非線形偏微分方程式 / 関数方程式 Less

Asymptotic behavior of solutions for evolution equations involving nonlinear LaplaciansPrincipal Investigator
- Principal Investigator
  
  AKAGI Goro, 赤木剛朗
- Project Period (FY)
  2010 – 2012
- Research Category
  
  Grant-in-Aid for Young Scientists (B)
- Research Field
  
  Basic analysis
- Research Institution
  Kobe University
  Shibaura Institute of Technology
Research on evolution equations involving nonlinear Laplace operatorsPrincipal Investigator
- Principal Investigator
  
  AKAGI Goro
- Project Period (FY)
  2007 – 2009
- Research Category
  
  Grant-in-Aid for Young Scientists (B)
- Research Field
  
  Basic analysis
- Research Institution
  Shibaura Institute of Technology

All 2013 2012 2011 2010 2009 2008 2007

All Journal Article Presentation

[Journal Article] Stability and instability of group invariant asymptotic profiles for fast diffusion equations2013
- Author(s)
  Goro Akagi
- Journal Title
  
  "Geometric Properties for Parabolic and Elliptic PDE's" (R. Magnanini, S. Sakaguchi, A. Alvino Eds.), Springer INdAM Series
  
  Volume: 2 Pages: 1-16
- DOI
  10.1007/978-88-470-2841-8_1
- ISBN
  9788847028401, 9788847028418
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-22740093
[Journal Article] Nonlinear diffusion equations driven by the p(.)-Laplacian2013
- Author(s)
  Goro Akagi, Kei Matsuura
- Journal Title
  
  Nonlinear Differential Equations and Applications (NoDEA)
  
  Volume: vol.20, no.1 Pages: 37-64
- NAID
  120005372402
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-22740093
[Journal Article] Stability and instability of group invariant asymptotic profiles for fast diffusion equations2013
- Author(s)
  Goro Akagi
- Journal Title
  
  Geometric Properties for Parabolic and Elliptic PDE's
  
  Volume: vol.2 Pages: 1-16
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-22740093
[Journal Article] A global variationalprinciple for nonlinear evolution2012
- Author(s)
  Goro Akagi
- Journal Title
  
  京都大学数理解析研究所講究録
  
  Volume: vol.1792 Pages: 40-56
- Data Source
  KAKENHI-PROJECT-22740093
[Journal Article] A global variational principle for nonlinear evolution2012
- Author(s)
  赤木　剛朗
- Journal Title
  
  京都大学数理解析研究所講究録
  
  Volume: 1792 Pages: 40-56
- Data Source
  KAKENHI-PROJECT-22740093
[Journal Article] Global attractors for doubly nonlinear evolution equations with non-monotone perturbations2011
- Author(s)
  Goro Akagi
- Journal Title
  
  Journal of Differential Equations
  
  Volume: vol.250, no.4 Pages: 1850-1875
- NAID
  120005372399
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-22740093
[Journal Article] Maximal monotonicity of the sum of two subdifferential operators in Lp-spaces2011
- Author(s)
  Goro Akagi
- Journal Title
  
  Nonlinear Analysis, Theory, Methods & Applications
  
  Volume: vol.74, no.5 Pages: 1664-1671
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-22740093
[Journal Article] Doubly nonlinear evolution equations with non-monotone perturbations in reflexive Banach spaces2011
- Author(s)
  Goro Akagi
- Journal Title
  
  ournal of Evolution Equations
  
  Volume: vol.11, no.1 Pages: 1-41
- NAID
  120005372397
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-22740093
[Journal Article] Doubly nonlinear evolution equations with non-monotone perturbations in reflexive Banach spaces2011
- Author(s)
  Goro Akagi
- Journal Title
  
  Journal of Evolution Equations
  
  Volume: 11 Pages: 1-41
- NAID
  120005372397
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-22740093
[Journal Article] Weighted energy-dissipation functional for doubly nonlinear evolution2011
- Author(s)
  Goro Akagi, Ulisse Stefanelli
- Journal Title
  
  Journal of Functional Analysis
  
  Volume: 260 Pages: 2541-2578
- NAID
  120005372400
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-22740093
[Journal Article] Periodic solutions for doubly nonlinear evolution equations2011
- Author(s)
  Goro Akagi, Ulisse Stefanelli
- Journal Title
  
  Journal of Differential Equations
  
  Volume: 251 Issue: 7 Pages: 1790-1812
- DOI
  10.1016/j.jde.2011.04.014
- NAID
  120005372401
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-22740093
[Journal Article] Maximal monotonicity of the sum of two subdifferential operators in Lp-spaces2011
- Author(s)
  Goro Akagi
- Journal Title
  
  Nonlinear Analysis, TMA
  
  Volume: 74 Pages: 1664-1671
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-22740093
[Journal Article] Well-posedness and large-time behaviors of solutions for a parabolic equation involving p(x)-Laplacian2011
- Author(s)
  Goro Akagi, Kei Matsuura
- Journal Title
  
  Discrete and Continuous Dynamical Systems
  
  Volume: a suppl. vol. Pages: 22-31
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-22740093
[Journal Article] Periodic solutions for doubly nonlinear evolution equations2011
- Author(s)
  Goro Akagi, Ulisse Stefanelli
- Journal Title
  
  Journal of DifferentialEquations
  
  Volume: vol.251, no.7 Pages: 1790-1812
- NAID
  120005372401
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-22740093
[Journal Article] Weighted energy-dissipation functionals for doubly nonlinear evolution2011
- Author(s)
  Goro Akagi, Ulisse Stefanelli
- Journal Title
  
  Journal ofFunctional Analysis
  
  Volume: vol.260, no.9 Pages: 2541-2578
- NAID
  120005372400
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-22740093
[Journal Article] On some doubly nonlinear parabolic equations2010
- Author(s)
  Goro Akagi
- Journal Title
  
  Current Advances in Nonlinear Analysis and Related Topics, GAKUTO International Series, Mathematical Sciences and Applications 32
  
  Pages: 239-254
- Data Source
  KAKENHI-PROJECT-19740073
[Journal Article] Ulisse Stefanelli, A variational principle for doubly nonlinear evolution2010
- Author(s)
  Goro Akagi
- Journal Title
  
  Applied Mathematics Letters
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19740073
[Journal Article] Energy solutions of the Cauchy-Neumann problem for porous medium equations2009
- Author(s)
  Goro Akagi
- Journal Title
  
  The Seventh International Conference on Dynamical Systems and Differential Equations, a supplement volume of Discrete and Continuous Dynamical Systems
  
  Pages: 1-10
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19740073
[Journal Article] Asymptotic behavior of viscosity solutions for a degenerate parabolic equation associated with the infinity-Laplacian2009
- Author(s)
  Goro Akagi, Petri Juutinen, Ryuji Kajikiya
- Journal Title
  
  Mathematische Annalen vol.343,no.4
  
  Pages: 921-953
- NAID
  120005372395
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19740073
[Journal Article] Energy solutions of the Cauchy-Neumann problem for porous medium equations2009
- Author(s)
  Goro Akagi
- Journal Title
  
  Discrete and Continuous Dynamical Systems 増刊号
  
  Pages: 1-10
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19740073
[Journal Article] Asymptotic behavior of viscosity solutions for a degenerate parabolic equation associated with the infinity-Laplacian2009
- Author(s)
  Goro Akagi, Petri Juutinen and Ryuji Kajikiya
- Journal Title
  
  Mathematische Annalen 343
  
  Pages: 921-953
- NAID
  120005372395
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19740073
[Journal Article] Existence and uniqueness of viscosity solutions for a degenerate parabolic equation associated with the infinity-Laplacian2008
- Author(s)
  Goro, Akagi・Kazumasa, Suzuki
- Journal Title
  
  Calculus of Variations and Partial Differential Equations 31
  
  Pages: 457-471
- NAID
  120005372386
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19740073
[Journal Article] Existence and uniqueness of viscosity solutions for a degenerate parabolic equation associated with the infinity-Laplacian2008
- Author(s)
  Goro Akagi, Kazumasa Suzuki
- Journal Title
  
  Calculus of Variations and Partial Differential Equations vol.31,no.4
  
  Pages: 457-471
- NAID
  120005372386
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19740073
[Journal Article] Doubly nonlinear evolution equations in reflexive Banach spaces2008
- Author(s)
  Goro Akagi
- Journal Title
  
  Nonlinear Phenomena with Energy Dissipation, GAKUTO International Series, Mathematical Sciences and Applications 29
  
  Pages: 19-36
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19740073
[Journal Article] Doubly nonlinear evolution equations with non-monotone perturbations2007
- Author(s)
  Goro Akagi
- Journal Title
  
  Proc. Appl. Math. Mech. vol.7,no.1
  
  Pages: 2040047-2040048
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19740073
[Journal Article] On a certain degenerate nonlinear parabolic equation associated with the infinity-Laplacian2007
- Author(s)
  Goro Akagi, Kazumasa Suzuki
- Journal Title
  
  The Sixth International Conference on Dynamical Systems and Differential Equations, a supplement volume of Discrete and Continuous Dynamical Systems
  
  Pages: 18-27
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19740073
[Journal Article] Local existense of solutions to some degenerate parabolic equation associated with the p-Laplacian2007
- Author(s)
  Goro, Akagi
- Journal Title
  
  Journal of Differential Equations 241
  
  Pages: 359-385
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19740073
[Journal Article] Local existence of solutions to some degenerate parabolic equation associated with the p-Laplacian2007
- Author(s)
  Goro Akagi
- Journal Title
  
  Journal of Differential Equations vol.241,2007,no.2
  
  Pages: 359-385
- NAID
  120005372394
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19740073
[Presentation] Symmetry breaking of least energy solutions ofEmden-Fowler equations2012
- Author(s)
  赤木剛朗,梶木屋龍治
- Organizer
  日本数学会2012年度秋季総合分科会, 関数方程式論分科会
- Place of Presentation
  九州大学
- Year and Date
  2012-09-19
- Data Source
  KAKENHI-PROJECT-22740093
[Presentation] Doubly nonlinear parabolic equations involving variable exponents2012
- Author(s)
  赤木　剛朗
- Organizer
  日本数学会
- Place of Presentation
  九州大学
- Data Source
  KAKENHI-PROJECT-22740093
[Presentation] Symmetry breaking of least energy solutions of Emden-Fowler equations2012
- Author(s)
  赤木剛朗, 梶木屋龍治
- Organizer
  日本数学会
- Place of Presentation
  九州大学
- Data Source
  KAKENHI-PROJECT-22740093
[Presentation] Symmetry and stability of asymptotic profiles for fast diffusion equations2012
- Author(s)
  赤木剛朗, 梶木屋龍治
- Organizer
  日本数学会
- Place of Presentation
  九州大学
- Data Source
  KAKENHI-PROJECT-22740093
[Presentation] Doubly nonlinear parabolic equations involving variable exponents2012
- Author(s)
  赤木剛朗
- Organizer
  日本数学会2012年度秋季総合分科会, 実関数論分科会
- Place of Presentation
  九州大学
- Year and Date
  2012-09-21
- Data Source
  KAKENHI-PROJECT-22740093
[Presentation] Symmetry and stability of asymptotic profiles for fast diffusion equations2012
- Author(s)
  赤木剛朗,梶木屋龍治
- Organizer
  日本数学会2012年度秋季総合分科会, 関数方程式論分科会
- Place of Presentation
  九州大学
- Year and Date
  2012-09-19
- Data Source
  KAKENHI-PROJECT-22740093
[Presentation] 二重非線型発展方程式の周期解2011
- Author(s)
  赤木剛朗, Ulisse Stefanelli
- Organizer
  日本数学会2011年度秋季総合分科会, 実関数論分科会
- Place of Presentation
  信州大学
- Year and Date
  2011-09-29
- Data Source
  KAKENHI-PROJECT-22740093
[Presentation] Fast diffusion方程式の解の漸近形の安定性解析(空間N次元の場合)2011
- Author(s)
  赤木剛朗, 梶木屋龍治
- Organizer
  日本数学会
- Place of Presentation
  信州大学(長野県)
- Year and Date
  2011-09-30
- Data Source
  KAKENHI-PROJECT-22740093
[Presentation] 二重非線型発展方程式の周期解2011
- Author(s)
  赤木剛朗, Ulisse Stefanelli
- Organizer
  日本数学会
- Place of Presentation
  信州大学(長野県)
- Year and Date
  2011-09-29
- Data Source
  KAKENHI-PROJECT-22740093
[Presentation] Fast diffusion 方程式の解の漸近形の安定性解析 (空間 N 次元の場合)2011
- Author(s)
  赤木剛朗,梶木屋龍治
- Organizer
  日本数学会2011年度秋季総合分科会, 関数方程式論分科会
- Place of Presentation
  信州大学
- Year and Date
  2011-09-30
- Data Source
  KAKENHI-PROJECT-22740093
[Presentation] Fast diffusion 方程式の解の漸近形の安定性解析2010
- Author(s)
  赤木剛朗,梶木屋龍治
- Organizer
  日本数学会2010年度秋季総合分科会, 関数方程式論分科会
- Place of Presentation
  名古屋大学
- Year and Date
  2010-09-24
- Data Source
  KAKENHI-PROJECT-22740093
[Presentation] Maximal monotonicity for the sum of two maximal monotone operators in Lp-spaces2010
- Author(s)
  赤木剛朗
- Organizer
  日本数学会2010年度年会, 実関数論分科会
- Place of Presentation
  慶應義塾大学
- Year and Date
  2010-03-26
- Data Source
  KAKENHI-PROJECT-19740073
[Presentation] Asymptotic profiles of sign-changing solutions for parabolic equations associated with p-Laplacian2010
- Author(s)
  赤木剛朗, 梶木屋龍治
- Organizer
  日本数学会2010年度年会, 関数方程式論分科会
- Place of Presentation
  慶應義塾大学
- Year and Date
  2010-03-26
- Data Source
  KAKENHI-PROJECT-19740073
[Presentation] WED 汎関数を用いた発展方程式に対する変分的アプローチ2010
- Author(s)
  赤木剛朗, Ulisse Stefanelli
- Organizer
  日本数学会2010年度秋季総合分科会, 実関数論分科会
- Place of Presentation
  名古屋大学
- Year and Date
  2010-09-25
- Data Source
  KAKENHI-PROJECT-22740093
[Presentation] Asymptotic profiles of sign-changing solutions for parabolic equations associated with p-Laplacian2010
- Author(s)
  赤木剛朗
- Organizer
  日本数学会
- Place of Presentation
  慶應義塾大学
- Year and Date
  2010-03-26
- Data Source
  KAKENHI-PROJECT-19740073
[Presentation] Fast diffusion方程式の解の漸近形の安定性解析2010
- Author(s)
  赤木剛朗, 梶木屋龍治
- Organizer
  日本数学会
- Place of Presentation
  名古屋大学
- Year and Date
  2010-09-24
- Data Source
  KAKENHI-PROJECT-22740093
[Presentation] Maximal monotonicity for the sum of two maximal monotone operators in Lp-spaces2010
- Author(s)
  赤木剛朗
- Organizer
  日本数学会
- Place of Presentation
  慶應義塾大学
- Year and Date
  2010-03-26
- Data Source
  KAKENHI-PROJECT-19740073
[Presentation] WED汎関数を用いた発展方程式に対する変分的アプローチ2010
- Author(s)
  赤木剛朗
- Organizer
  日本数学会
- Place of Presentation
  名古屋大学
- Year and Date
  2010-09-25
- Data Source
  KAKENHI-PROJECT-22740093
[Presentation] Energy solutions of porous medium equations with Neumann boundary conditions2009
- Author(s)
  赤木剛朗
- Organizer
  日本数学会2009年度年会, 実関数論分科会
- Place of Presentation
  東京大学
- Year and Date
  2009-03-26
- Data Source
  KAKENHI-PROJECT-19740073
[Presentation] Energy solutions of porous medium equations with Neumann boundary conditions2009
- Author(s)
  赤木剛朗
- Organizer
  日本数学会
- Place of Presentation
  東京大学
- Year and Date
  2009-03-26
- Data Source
  KAKENHI-PROJECT-19740073
[Presentation] Generalized semiflows and global attractors for a nonlinear evolution inclusion2008
- Author(s)
  赤木剛朗
- Organizer
  日本数学会
- Place of Presentation
  近畿大学
- Year and Date
  2008-03-25
- Data Source
  KAKENHI-PROJECT-19740073
[Presentation] On generalized Allen-Cahn equations2008
- Author(s)
  赤木剛朗
- Organizer
  日本数学会
- Place of Presentation
  東京工業大学
- Year and Date
  2008-09-27
- Data Source
  KAKENHI-PROJECT-19740073
[Presentation] On generalized Allen-Cahn equations2008
- Author(s)
  赤木剛朗
- Organizer
  日本数学会2008年度秋期総合分科会, 実関数論分科会
- Place of Presentation
  東京工業大学
- Year and Date
  2008-09-27
- Data Source
  KAKENHI-PROJECT-19740073
[Presentation] Asymptotic behavior of solutions for a degenerate parabolic equation with inhomogeneous Dirichlet data2008
- Author(s)
  赤木剛朗, Petri Juutinen, 梶木屋龍治
- Organizer
  日本数学会2008年度秋期総合分科会, 関数方程式論分科会
- Place of Presentation
  東京工業大学
- Year and Date
  2008-09-26
- Data Source
  KAKENHI-PROJECT-19740073
[Presentation] Generalized semiflows and global attractors for a nonlinear evolution inclusion2008
- Author(s)
  赤木剛朗
- Organizer
  日本数学会2008年度年会, 実関数論分科会
- Place of Presentation
  近畿大学
- Year and Date
  2008-03-25
- Data Source
  KAKENHI-PROJECT-19740073
[Presentation] Asymptotic behavior of solutions for a degenerate parabolic equation with inhomogeneous Dirichlet data2008
- Author(s)
  赤木剛朗, PetriJuutinen, 梶木屋龍治
- Organizer
  日本数学会
- Place of Presentation
  東京工業大学
- Year and Date
  2008-09-26
- Data Source
  KAKENHI-PROJECT-19740073
[Presentation] Asymptotic behavior of viscosity solutions for a parabolic equation involing the infinity-Laplacian2007
- Author(s)
  赤木剛朗・梶木屋龍治
- Organizer
  日本数学会
- Place of Presentation
  東北大学
- Year and Date
  2007-09-24
- Data Source
  KAKENHI-PROJECT-19740073
[Presentation] Asymptotic behavior of viscosity solutions for a parabolic equation involving the infinity-Laplacian2007
- Author(s)
  赤木剛朗, 梶木屋龍治
- Organizer
  日本数学会2007年度秋期総合分科会, 関数方程式論分科会
- Place of Presentation
  東北大学
- Year and Date
  2007-09-24
- Data Source
  KAKENHI-PROJECT-19740073

1. AKAGI Goro (60360202)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results

AKAGI Goro 赤木 剛朗

Research Projects

Research Products

Co-Researchers

Asymptotic behavior of solutions for evolution equations involving nonlinear LaplaciansPrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Research on evolution equations involving nonlinear Laplace operatorsPrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

[Journal Article] Stability and instability of group invariant asymptotic profiles for fast diffusion equations2013

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Journal Title

DOI

ISBN

Data Source

[Journal Article] Nonlinear diffusion equations driven by the p(.)-Laplacian2013

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NAID

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[Journal Article] Stability and instability of group invariant asymptotic profiles for fast diffusion equations2013

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Data Source

[Journal Article] A global variationalprinciple for nonlinear evolution2012

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[Journal Article] A global variational principle for nonlinear evolution2012

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[Journal Article] Global attractors for doubly nonlinear evolution equations with non-monotone perturbations2011

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NAID

Data Source

[Journal Article] Maximal monotonicity of the sum of two subdifferential operators in Lp-spaces2011

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Data Source

[Journal Article] Doubly nonlinear evolution equations with non-monotone perturbations in reflexive Banach spaces2011

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NAID

Data Source

[Journal Article] Doubly nonlinear evolution equations with non-monotone perturbations in reflexive Banach spaces2011

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NAID

Data Source

[Journal Article] Weighted energy-dissipation functional for doubly nonlinear evolution2011

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NAID

Data Source

[Journal Article] Periodic solutions for doubly nonlinear evolution equations2011

Author(s)

Journal Title

DOI

NAID

Data Source

[Journal Article] Maximal monotonicity of the sum of two subdifferential operators in Lp-spaces2011

Author(s)

Journal Title

Data Source

[Journal Article] Well-posedness and large-time behaviors of solutions for a parabolic equation involving p(x)-Laplacian2011

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Data Source

[Journal Article] Periodic solutions for doubly nonlinear evolution equations2011

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AKAGI Goro 赤木剛朗