赤堀公史

アカホリタカフミ | Akahori Takafumi

所属機関・部署：
職名：准教授

研究分野 (1件)：基礎解析学

研究キーワード (1件)：偏微分方程式

競争的資金等の研究課題 (3件)：

論文 (18件)：

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
Akahori Takafumi, Slim Ibrahim, HIroaki Kikuchi, Hayato Nawa. 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

MISC (2件)：

講演・口頭発表等 (14件)：

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)

学位 (1件)：

所属学会 (1件)：

日本数学会

※　J-GLOBALの研究者情報は、researchmapの登録情報に基づき表示しています。登録・更新については、こちらをご覧ください。

赤堀 公史