WATANABE TATSUYA

ワタナベタツヤ | WATANABE TATSUYA

Affiliation and department：
Job title： Professor

Research field (1)： Mathematical analysis

Research keywords (1)：変分問題楕円型微分方程式

Research theme for competitive and other funds (9)：

2024 - 2027 基底状態解の変分的特徴付けに基づく非線形分散型偏微分方程式の定在波の安定性解析
2021 - 2025 Research on stabilization effect and qualitative properties of standing waves for variational problems with nonlocal interactions
2018 - 2023 準線形楕円型偏微分方程式の解構造への変分的アプローチ
2018 - 2021 非局所的相互作用による定在波の安定化効果に関連する最小化変分問題の研究
2015 - 2017 準線形シュレディンガー方程式におけるラグランジュ乗数問題と安定性解析への応用

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Papers (35)：

Mathieu Colin and Tatsuya Watanabe. Stable standing waves for a Schrodinger system with nonlinear X^3 response. Journal of Mathematical Physics. 2023. 64. 101506--
Shinji Adachi, Norihisa Ikoma and Tatsuya Watanabe. Existence and asymptotic behavior of positive solutions for a class of locally superlinear Schrodinger equation. Manuscripta Mathematica. 2023
G-invariant positive solutions for a class of locally superlinear Schrodinger equations. Journal of Mathematical Analysis and Applications. 2022. 507. 125765
Shinji Adachi, Masataka Shibata and Tatsuya Watanabe. Uniqueness of asymptotic limit of ground states for a class of quasilinear Schrodinger equation with H^1-critical growth in R^3. Applicable Analysis. 2022. 101. 671-691
Alessio Pomponio. Ground state solutions for quasilinear scalar field equations arising in nonlinear optics. Nonlinear Differential Equations and Applications Research. 2021. 28. Article:26

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Lectures and oral presentations (34)：

Ground state solution for the nonlinear Schrodinger equation with cubic-quintic type nonlinearities
(Seminaire de Physique Mathematique - EDP IMB 2024)
Stable standing waves for a Schrodinger system with nonlinear X^3 response
(日本数学会 2023年秋季総合分科会 2023)
Stable standing waves for a Schrodinger system with nonlinear X^3 response
(ICIAM2023 2023)
Ground state solutions for quasilinear scalar field equations arising in nonlinear optics
(The 13th AIMS Conference on Dynamical Systems, Differential Equations and Applications 2023)
Stable standing waves for a Schrodinger system with nonlinear chi^3 response
(楕円型・放物型微分方程式研究集会 2022)

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Education (3)：

2003 - 2006 Tokyo Metropolitan University Graduate School, Division of Natural Science
2001 - 2003 Tokyo Metropolitan University Graduate School, Division of Natural Science
1996 - 2001 Waseda University Faculty of Science and Engineering

Professional career (1)：

Work history (4)：

2017/04 - 現在 Kyoto Sangyo University Faculty of Science Department of Mathematics Professor
2010/04 - 2016/03 Associate Professor
2009/04 - 2010/03 大阪市立大学理学研究科数学研究所研究員・ポスドク
2007/04 - 2009/03 Special researcher of the Japan Society for the Promotion of Science

Awards (1)：

Association Membership(s) (2)：

日本数学会 , Mathematical Association of America(アメリカ数学協会)

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