Rchr
J-GLOBAL ID：201101030792132530
Update date: Jan. 30, 2024
Kikuchi Hiroaki
キクチ ヒロアキ | Kikuchi Hiroaki
Affiliation and department：
Job title：
Professor
Research field (1)：
Mathematical analysis
Research keywords (4)：
基底状態
, 変分法
, 非線形楕円型方程式
, 非線形シュレディンガー方程式
Research theme for competitive and other funds (5)：
- 2020 - ソボレフ臨界超臨界 の非線形偏微分方程式の解析
- 2017 - 2020 ソボレフ超臨界の非線形偏微分方程式の解析
- 2014 - 2017 調和ポテンシャルを伴う非線形シュレディンガー方程式の定在波の解析
- 2011 - 2016 Stochastic Processes and Statistical Phenomena behind Partial Differential Equaitons
- 2011 - 2012 Stability analysis of standing waves for nonlinear Schrodinger equations
Papers (26)：
-
Takafumi Akahori, Yakine Bahri, Slim Ibrahim, Hiroaki Kikuchi. Pitchfork Bifurcation at Line Solitons for Nonlinear Schrödinger Equations on the Product Space $${\mathbb {R } }\times {\mathbb {T } }. Annales Henri Poincaré. 2023
-
Masaru Hamano, Hiroaki Kikuchi, Minami Watanabe. Threshold solutions for the 3D focusing cubic-quintic nonlinear Schrödinger equation at low frequencies. Dynamics of Partial Differential Equations. 2023. 20. 4. 263-297
-
Takafumi Akahori, Slim Ibrahim, Hiroaki Kikuchi, Hayato Nawa. Non-existence of ground states and gap of variational values for 3D Sobolev critical nonlinear scalar field equations. Journal of Differential Equations. 2022. 334. 25-86
-
Takafumi Akahori, Slim Ibrahim, Hiroaki Kikuchi, Hayato Nawa. Global dynamics above the ground state energy for the combined power-type nonlinear Schrödinger equations with energy-critical growth at low frequencies. Memoirs of the American Mathematical Society. 2021. 272. 1331
-
Slim Ibrahim, Hiroaki Kikuchi, Kenji Nakanishi, Juncheng Wei. Non-uniqueness for an energy-critical heat equation on $${\mathbb {R } }^2. Mathematische Annalen. 2021. 380. 1-2. 317-348
ｍore...
Lectures and oral presentations (43)：
-
Positive solutions to stationary double power nonlinear Schrodinger equations
(Non-compactness phenomena on critical problems and related topics 2023)
-
Positive solutions to stationary double power nonlinear Schrodinger equations
(2023)
-
Uniqueness of ground states for double power nonlinear Schrodinger equations
(精密解析による非線形問題の新展開 2023)
-
Threshold solutions for the 3D focusing cubic-quintic nonlinear Schrodinger equation
(The 24th Northeastern Symposium on Mathematical Analysis 2023)
-
Uniqueness of ground states for double power nonlinear Schrodinger equations
(Workshop on Non-compact Variational Problems and Related Topics 2022)
ｍore...
Works (2)：
-
非線形分散型方程式における定在波の安定性解析
2009 - 2011
-
変分法を用いた非線形シュレディンガー方程式系の定在波の安定性解析
2007 - 2009
Education (3)：
- 2005 - 2008 Kyoto University Graduate School of Science Division of Mathematics
- 2003 - 2005 Tohoku University Graduate School of Science Department of Mathematics
- 1999 - 2003 Tohoku University Faculty of Science Department of Mathematics
Professional career (1)：
Work history (4)：
- 2021/04 - 現在 Tsuda University Faculty of Liberal Arts Department of Mathematics professpr
- 2015/04 - 2021/03 Tsuda University Faculty of Liberal Arts Department of Mathematics Associate Professor
- 2012/04/01 - 2015/03/31 Tsuda University Faculty of Liberal Arts Department of Mathematics Lecturer
- 2011/04 - 2012/03 Tokyo Denki University School of Information Environment, Department of Information Environment Assistant Professor
Association Membership(s) (1)：
Return to Previous Page
