AKAHORI Takafumi 赤堀公史

… Alternative Names

赤堀公史アカホリタカフミ

AKAHORI Takahumi 赤堀公史

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Researcher Number	90437187
Other IDs
External Links
Affiliation (Current)	2025: 静岡大学, 工学部, 教授
Affiliation (based on the past Project Information) *help	2025: 静岡大学, 工学部, 教授 2021 – 2023: 静岡大学, 工学部, 教授 2020: 静岡大学, 工学部, 准教授 2015 – 2016: 静岡大学, 工学部, 准教授 2015: 静岡大学, 大学院工学研究科, 准教授 … More 2014: 静岡大学, 工学研究科, 准教授 2013: 静岡大学, 工学(系)研究科(研究院), 准教授 2012: 静岡大学, 大学院・数理システム工学科, 准教授 2011 – 2012: 静岡大学, 工学部, 准教授 2010: 愛媛大学, 理工学研究科, 助教 Less
Review Section/Research Field	Principal Investigator Basic Section 12020:Mathematical analysis-related / Mathematical analysis / Basic analysis Except Principal Investigator Basic analysis / General mathematics (including Probability theory/Statistical mathematics)
Keywords	Principal Investigator 基底状態 / 非線形シュレディンガー方程式 / 非線形分散型方程式 / 散乱問題 / 非線形偏微分方程式 / ソリトン / 中間長波方程式 / 非線形シュレディンガー方程式のダイナミクス / 基底状態の安定性 / 爆発問題 / 関数方程式 … More Except Principal Investigator … More オイラー方程式 / 散逸的弱解 / 乱流 / 確率解析 / シュレーディンガー方程式 / 非線形光学 / 超流動 / 重対数法則 / 爆発解 / 非線形シュレーディンガー方程式 / 非圧縮性オイラー方程式 / 確率微分方程式 / 非線形偏微分方程式 / Euler-α方程式 / クゥエット流 / 位相正則化 / 点渦統計力学 / 衝突多様体 / 乱流モデル / エンストロフィー / 自己相似衝突解 / α点渦系 / 点渦力学 / 一様等方乱流 / 衝突解 / 点渦系 / オイラーα方程式 / 渦層 / 点渦 Less

可積分系の積分-微分方程式に対する多重ソリトンの安定性の研究Principal Investigator
- Principal Investigator
  
  赤堀公史
- Project Period (FY)
  2025 – 2029
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Review Section
  
  Basic Section 12020:Mathematical analysis-related
- Research Institution
  Shizuoka University
完全可積分系の方程式に対する解の時間大域挙動の研究Principal Investigator
- Principal Investigator
  
  赤堀公史
- Project Period (FY)
  2020 – 2024
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Review Section
  
  Basic Section 12020:Mathematical analysis-related
- Research Institution
  Shizuoka University
Study of nonlinear dispersive equations in critical Sobolev spacesPrincipal Investigator
- Principal Investigator
  
  Akahori Takafumi
- Project Period (FY)
  2013 – 2016
- Research Category
  
  Grant-in-Aid for Young Scientists (B)
- Research Field
  
  Mathematical analysis
- Research Institution
  Shizuoka University
Stochastic Processes and Statistical Phenomena behind Partial Differential Equaitons
- Principal Investigator
  
  NAWA Hayato
- Project Period (FY)
  2011 – 2015
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Basic analysis
- Research Institution
  Meiji University
  Osaka University
Study of behavior of solutions to nonlinear dispersive equationsPrincipal Investigator
- Principal Investigator
  
  AKAHORI Takafumi
- Project Period (FY)
  2010 – 2012
- Research Category
  
  Grant-in-Aid for Young Scientists (B)
- Research Field
  
  Basic analysis
- Research Institution
  Shizuoka University
  Ehime University
Towards a mathematical theory of fluid turbulence via singular vortex dynamics
- Principal Investigator
  
  SAKAJO Takashi
- Project Period (FY)
  2009 – 2012
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  General mathematics (including Probability theory/Statistical mathematics)
- Research Institution
  Hokkaido University

All 2024 2023 2022 2020 2016 2015 2014 2013 2012 2011 2010 Other

All Journal Article Presentation

[Journal Article] Pitchfork Bifurcation at Line Solitons for Nonlinear Schrodinger Equations on the Product Space R times T2023
- Author(s)
  赤堀公史, Yakine Bahri, Slim Ibrahim, 菊池弘明
- Journal Title
  
  Annales Henri Poincar´e
  
  Volume: - Issue: 7 Pages: 1-31
- DOI
  10.1007/s00023-023-01370-6
- Peer Reviewed / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-20K03697, KAKENHI-PROJECT-20K03706
[Journal Article] Uniqueness of ground states for combined power-type nonlinear scalar field equations involving the Sobolev critical exponent at high frequencies in three and four dimensions2022
- Author(s)
  Akahori Takafumi、Murata Miho
- Journal Title
  
  Nonlinear Differential Equations and Applications NoDEA
  
  Volume: 29 Issue: 6
- DOI
  10.1007/s00030-022-00804-0
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20K03697, KAKENHI-PROJECT-21K13819
[Journal Article] Blowup and scattering problems for the nonlinear Schrodinger equations2013
- Author(s)
  Takafumi Akahori, Hayato Nawa
- Journal Title
  
  Kyoto Journal of Mathematics
  
  Volume: vol 53, no 3 Issue: 3 Pages: 629-672
- DOI
  10.1215/21562261-2265914
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-23340030, KAKENHI-PROJECT-25800077
[Journal Article] Existence of a ground state and scattering for a nonlinear Schrodinger equation with critical growth2013
- Author(s)
  Takafumi Akahori, Slim Ibrahim, Hiroaki Kikuchi, Hayato Nawa
- Journal Title
  
  Selecta Mathematica, new series
  
  Volume: vol 19, issue 2 Issue: 2 Pages: 545-609
- DOI
  10.1007/s00029-012-0103-5
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-23340030, KAKENHI-PROJECT-23654052, KAKENHI-PROJECT-25800077
[Journal Article] Existence of a ground state and scattering problem for a nonlinear Schrodinger equation with critical growth2013
- Author(s)
  赤堀公史, Slim Ibrahim, 菊池弘明, 名和範人
- Journal Title
  
  Selecta Mathematica
  
  Volume: 19巻 Pages: 545-609
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-22740092
[Journal Article] Existence of a ground state and blow-up problem for a nonlinear Schrodinger equation with critical growth2012
- Author(s)
  赤堀公史, Slim Ibrahim, 菊池弘明, 名和範人
- Volume
  25巻
- Pages
  383-402
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-22740092
[Journal Article] Scattering and blowup problems for a class of nonlinear Schrodinger equations2012
- Author(s)
  赤堀公史, 菊池弘明, 名和範人
- Journal Title
  
  Differential and Integral Equations
  
  Volume: 25巻 Pages: 1075-1118
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-22740092
[Journal Article] Existence of a ground state and blow-up problem for a nonlinear Schrodinger equation with critical growth2012
- Author(s)
  赤堀公史, Slim Ibrahim, 菊池弘明, 名範人
- Journal Title
  
  Differential and Integral Equations
  
  Volume: 25 Pages: 383-402
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-22740092
[Journal Article] Existence of a ground state and blow-up problem for a nonlinearSchrodinger equation with critical growth2012
- Author(s)
  赤堀公史, Slim Ibrahim, 菊池弘明, 名和範人
- Journal Title
  
  Differential and Integral Equations
  
  Volume: 25 Pages: 383-402
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-23340030
[Journal Article] Scattering and blowup problems for a class of nonlinear Schrodinger equations2012
- Author(s)
  Takafumi Akahori, Hiroaki Kikuchi, Hayato Nawa
- Journal Title
  
  Differential and Integral Equations
  
  Volume: vol 25, no 11-12
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-23340030
[Presentation] Global dynamics above the ground state threshold for nonlinear Schrodinger equations2024
- Author(s)
  赤堀公史
- Organizer
  The 15th Nagoya Workshop on Differential Equations
- Invited
- Data Source
  KAKENHI-PROJECT-20K03697
[Presentation] Global dynamics above the ground state threshold for nonlinear Schrodinger equations2023
- Author(s)
  赤堀公史
- Organizer
  日本数学会函数方程式論分科会
- Invited
- Data Source
  KAKENHI-PROJECT-20K03697
[Presentation] Uniqueness of ground states for combined power-type nonlinear scalar field equations involving the Sobolev critical exponent at high frequencies in three and four dimensions2022
- Author(s)
  赤堀公史
- Organizer
  Workshop on recent progress in standing waves for nonlinear Schrodinger equations
- Invited
- Data Source
  KAKENHI-PROJECT-20K03697
[Presentation] Recent developments in the global well-posedness theory for complete integrable systems2022
- Author(s)
  赤堀公史
- Organizer
  静岡大学現代解析研究所 Workshop
- Invited
- Data Source
  KAKENHI-PROJECT-20K03697
[Presentation] Limiting profiles of stable and unstable modes of the linearized problems around ground states for perturbed nonlinear Schrodinger equations2022
- Author(s)
  赤堀公史
- Organizer
  The 19th Linear and Nonlinear Waves
- Invited
- Data Source
  KAKENHI-PROJECT-20K03697
[Presentation] H^-1におけるKdV方程式の大域適切性の証明方法の紹介2022
- Author(s)
  赤堀公史
- Organizer
  津田塾大学PDE Workshop
- Invited
- Data Source
  KAKENHI-PROJECT-20K03697
[Presentation] Uniqueness of ground states for combined power-type nonlinear scalar field equations2020
- Author(s)
  赤堀公史
- Organizer
  CMS Winter Meeting, Nonlinear PDEs and kinetic problems
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-20K03697
[Presentation] Dynamics around ground states for combined power-type nonlinear Schrodinger equations with critical growth2016
- Author(s)
  赤堀公史
- Organizer
  Applied math seminar
- Place of Presentation
  University of Victoria
- Invited
- Data Source
  KAKENHI-PROJECT-25800077
[Presentation] Global dynamics above the ground state energy for a class on nonlinear Schrodinger equations with critical growth -small frequency case-2015
- Author(s)
  赤堀公史
- Organizer
  第12回　青葉山勉強会
- Place of Presentation
  東北大学大学院情報科学研究科　(宮城県仙台市)
- Year and Date
  2015-06-30
- Invited
- Data Source
  KAKENHI-PROJECT-25800077
[Presentation] Global Dynamics for the nonlinear Schrodinger equation with combined power-type nonlinearities2015
- Author(s)
  赤堀公史
- Organizer
  Applied Math seminar
- Place of Presentation
  University of Victoria (Canada)
- Year and Date
  2015-10-06
- Invited
- Data Source
  KAKENHI-PROJECT-25800077
[Presentation] Global dynamics above the ground state energy for a class on nonlinear Schrodinger equations with critical growth -small frequency case-2015
- Author(s)
  赤堀公史
- Organizer
  線形および非線形分散型方程式の研究
- Place of Presentation
  京都大学数理解析研究所 (京都府京都市)
- Year and Date
  2015-05-19
- Invited
- Data Source
  KAKENHI-PROJECT-25800077
[Presentation] On nonlinear Schrodinger equations with critical growth2014
- Author(s)
  赤堀公史
- Organizer
  線形および非線形分散型方程式の研究
- Place of Presentation
  京都府京都市　京都大学数理解析研究所
- Year and Date
  2014-05-20
- Data Source
  KAKENHI-PROJECT-25800077
[Presentation] Remarks on the energy-critical nonlinear Schrodinger equation, UVic one day seminar on Dispersive PDEs2013
- Author(s)
  赤堀公史
- Organizer
  Human and Social Development Building
- Place of Presentation
  University of Victoria, Canada
- Year and Date
  2013-03-08
- Data Source
  KAKENHI-PROJECT-22740092
[Presentation] Remarks on the energy-critical nonlinear Schrodinger equation2013
- Author(s)
  赤堀公史
- Organizer
  松山解析セミナー2013
- Place of Presentation
  愛媛大学理学部
- Year and Date
  2013-02-09
- Data Source
  KAKENHI-PROJECT-22740092
[Presentation] Remarks on the energy-critical nonlinear Schrodinger equation2013
- Author(s)
  赤堀公史
- Organizer
  松山解析セミナー2013
- Place of Presentation
  愛媛大学理学部（愛媛県）
- Invited
- Data Source
  KAKENHI-PROJECT-22740092
[Presentation] Scattering for nonlinear Schrodinger equations at critical regularity2012
- Author(s)
  赤堀公史
- Organizer
  非線形分散型方程式における最近の進展
- Place of Presentation
  京都大学数理解析研究所
- Year and Date
  2012-05-21
- Data Source
  KAKENHI-PROJECT-22740092
[Presentation] Scattering for nonlinear Schrodinger equations at critical regularity2012
- Author(s)
  赤堀公史
- Organizer
  非線形分散型方程式における最近の進展
- Place of Presentation
  京都大学数理解析研究所(京都府)
- Data Source
  KAKENHI-PROJECT-22740092
[Presentation] Scattering and blowup problems for a class of nonlinear Schrodinger equations2011
- Author(s)
  赤堀公史
- Organizer
  非線形双曲型および分散型方程式の研究
- Place of Presentation
  京都大学数理解析研究所
- Year and Date
  2011-05-24
- Data Source
  KAKENHI-PROJECT-22740092
[Presentation] エネルギー臨界冪を持つ非線形シュレディンガー方程式に対する基底状態の存在性と散乱・爆発問題2011
- Author(s)
  赤堀公史
- Organizer
  偏微分方程式と現象:PDEs and Phenomena in Miyazaki 2011
- Place of Presentation
  宮崎大学(宮崎県)(招待講演)
- Year and Date
  2011-11-18
- Data Source
  KAKENHI-PROJECT-23340030
[Presentation] Scattering problem for nonlinear Schrodinger equations2010
- Author(s)
  赤堀公史
- Organizer
  広島応用解析セミナー
- Place of Presentation
  広島大学工学部
- Year and Date
  2010-08-23
- Data Source
  KAKENHI-PROJECT-22740092
[Presentation] Scattering problem for the nonlinear Schrodinger equation with combined power nonlinearities2010
- Author(s)
  赤堀公史
- Organizer
  Harmonic Analysis and Partial Differential Equations
- Place of Presentation
  Seoul National University
- Year and Date
  2010-08-20
- Data Source
  KAKENHI-PROJECT-22740092
[Presentation] 非線形シュレディンガー方程式の爆発問題について2010
- Author(s)
  赤堀公史
- Organizer
  非線形波動・分散型方程式の研究
- Place of Presentation
  京都大学数理解析研究所
- Year and Date
  2010-05-25
- Data Source
  KAKENHI-PROJECT-22740092
[Presentation] On nonlinear Schrodinger equations with critical growth
- Author(s)
  赤堀公史
- Organizer
  RIMS共同研究「線形および非線形分散型方程式の研究」
- Place of Presentation
  京都大学数理解析研究所
- Invited
- Data Source
  KAKENHI-PROJECT-23340030

1. SAKAJO Takashi (10303603)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
2. NAWA Hayato (90218066)

# of Collaborated Projects: 2 results

# of Collaborated Products: 4 results
3. MATSUMOTO Takeshi (20346076)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
4. YOSHIDA Nobuo (40240303)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
5. FUKUIZUMI Reika (00374182)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
6. KIKUCHI Hiroaki (00612277)

# of Collaborated Projects: 1 results

# of Collaborated Products: 3 results
7. OHKITANI Koji

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
8. Gadi Fibich

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
9. Anne de Bouard

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results

AKAHORI Takafumi 赤堀 公史

赤堀 公史 アカホリ タカフミ

AKAHORI Takahumi 赤堀 公史

Research Projects

Research Products

Co-Researchers

可積分系の積分-微分方程式に対する多重ソリトンの安定性の研究Principal Investigator

Principal Investigator

Project Period (FY)

Research Category

Review Section

Research Institution

完全可積分系の方程式に対する解の時間大域挙動の研究Principal Investigator

Principal Investigator

Project Period (FY)

Research Category

Review Section

Research Institution

Study of nonlinear dispersive equations in critical Sobolev spacesPrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Stochastic Processes and Statistical Phenomena behind Partial Differential Equaitons

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Study of behavior of solutions to nonlinear dispersive equationsPrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Towards a mathematical theory of fluid turbulence via singular vortex dynamics

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

[Journal Article] Pitchfork Bifurcation at Line Solitons for Nonlinear Schrodinger Equations on the Product Space R times T2023

Author(s)

Journal Title

DOI

Data Source

[Journal Article] Uniqueness of ground states for combined power-type nonlinear scalar field equations involving the Sobolev critical exponent at high frequencies in three and four dimensions2022

Author(s)

Journal Title

DOI

Data Source

[Journal Article] Blowup and scattering problems for the nonlinear Schrodinger equations2013

Author(s)

Journal Title

DOI

Data Source

[Journal Article] Existence of a ground state and scattering for a nonlinear Schrodinger equation with critical growth2013

Author(s)

Journal Title

DOI

Data Source

[Journal Article] Existence of a ground state and scattering problem for a nonlinear Schrodinger equation with critical growth2013

Author(s)

Journal Title

Data Source

[Journal Article] Existence of a ground state and blow-up problem for a nonlinear Schrodinger equation with critical growth2012

Author(s)

Volume

Pages

Data Source

[Journal Article] Scattering and blowup problems for a class of nonlinear Schrodinger equations2012

Author(s)

Journal Title

Data Source

[Journal Article] Existence of a ground state and blow-up problem for a nonlinear Schrodinger equation with critical growth2012

Author(s)

Journal Title

Data Source

[Journal Article] Existence of a ground state and blow-up problem for a nonlinearSchrodinger equation with critical growth2012

AKAHORI Takafumi 赤堀公史

赤堀公史アカホリタカフミ

AKAHORI Takahumi 赤堀公史