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J-GLOBAL ID：201101096443581620   Update date: Sep. 20, 2024

Akahori Takafumi

アカホリ タカフミ | Akahori Takafumi
Affiliation and department：
Shizuoka University Faculty of Engineering - Department of Mathematical and Systems Engineering

About Shizuoka University Faculty of Engineering - Department of Mathematical and Systems Engineering


Job title： Associate Professor
Research field  (1)： Basic analysis
Research keywords  (1)： Partial differential equations
Research theme for competitive and other funds  (3)：
  • 2020 - 2024 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
  • 2013 - 2016 臨界ソボレフ空間における非線形分散型方程式の研究
  • 2010 - 2012 Study of behavior of solutions to nonlinear dispersive equations
Papers (18)：
  • 赤堀公史, 菊池弘明, Yakine Bahri, Slim Ibrahim. Pitchfork Bifurcation at Line Solitons for Nonlinear Schrodinger Equations on the Product Space R × T. Annales Henri Poincar ́e. 2024. 7. 3467-3497
  • 赤堀公史, 村田美帆. Nondegeneracy of ground states for nonlinear scalar field equations involving the Sobolev-critical exponent at high frequencies in three and four dimensions. Nonlinear Analysis. 2023
  • 赤堀公史, Slim Ibrahim, 菊池弘明, 名和範人. Non-existence of ground states and gap of variational values for 3D Sobolev critical nonlinear scalar field equations. Journal of Differential Equations. 2022. 334. 15. 25-86
  • 赤堀公史, 村田美帆. Uniqueness of ground states for combined power-type nonlinear scalar field equations involving the Sobolev critical exponent at high frequencies in three and four dimensions. Nonlinear Differential Equations and Applications. 2022. 6. 1-54
  • 赤堀公史, Slim Ibrahim, 菊池弘明, 名和範人. Global dynamics above the ground state energy for the combined power-type nonlinear Schrodinger equations with energy-critical growth at low frequencies. Memoirs of the American Mathematical Society. 2021. 272. 1331. 1-130
ｍore...
MISC (2)：
Lectures and oral presentations  (14)：
  • Global dynamics above the ground state threshold for nonlinear Schrödinger equations
    (The 15th Nagoya Workshop on Differential Equations 2024)
  • Global dynamics above the ground state threshold for nonlinear Schrödinger equations
    (日本数学会 函数方程式論分科会 特別講演 2023)
  • H^-1(R)におけるKdV方程式の大域適切性の証明方法の紹介
    (津田塾大学PDE Workshop 2022)
  • Limiting profiles of stable and unstable modes of the linearized problems around ground states for perturbed nonlinear Schrodinger equations
    (The 19th linear and nonlinear waves 2022)
  • Recent developments in the global well-posedness theory for complete integrable systems
    (現代解析学研究所Workshop 2022)
ｍore...
Professional career (1)：
  • 理学 (東北大学)
Association Membership(s) (1)：
日本数学会
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