Takamura Hiroyuki

タカムラヒロユキ | Takamura Hiroyuki

Affiliation and department：
Job title： Professor
Homepage URL (1)： http://www.math.tohoku.ac.jp/english/index-e.html

Research field (1)： Mathematical analysis

Research keywords (5)： Partial Differential Equations , Nonlinear hyperbolic partial differential equations , Nonlinear Wave Equations , Nonlinear Damped Wave Equations , Nonlinear ordinary differential equations

Research theme for competitive and other funds (18)：

2022 - 2027 非線形消散波動方程式の一般論の構築と宇宙論および流体力学への応用
2019 - 2024 Unravel higher order critical structures to solutions of nonlinear dispersive and dissipative partial differential equations
2018 - 2022 非線形消散波動方程式の解がもつ波動的性質の解明
2015 - 2019 高次元波動方程式の基本解に含まれる微分損失が非線形問題に与える影響の解析
2012 - 2016 Global behavior for nonlinear wave

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Papers (51)：

Kerun Shao, Hiroyuki Takamura, Chengbo Wang. Blow-up of solutions to semilinear wave equations with spatial derivatives. 2025. 45. 2. 410-425
Yuki Haruyama, Hiroyuki Takamura. Blow-up of classical solutions of quasilinear wave equations in one space dimension. Nonlinear Analysis, RWA. 2025. 81. 104212
Ryuki Kido, Takiko Sasaki, Shu Takamatsu, Hiroyuki Takamura. The generalized combined effect for one dimensional wave equations with semilinear terms including product type. J. Differential Equations. 2024. 403. 576-618
Shunsuke Kitamura, Hiroyuki Takamura, Kyouhei Wakasa. The lifespan estimates of classical solutions of one dimensional semilinear wave equations with characteristic weights. Journal of Mathematical Analysis and Applications. 2023. 528. 127516-127516
Katsuaki Morisawa, Takiko Sasaki, Hiroyuki Takamura. Erratum to "The combined effect in one space dimension beyond the general theory for nonlinear wave equations". Communications on Pure and Applied Analysis. 2023. 22. 10. 3200-3202

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MISC (7)：

Takiko Sasaki, Hiroyuki Takamura. Note on the existence of classical solutions of derivative semilinear models for one dimensional wave equation. 2024
Ning-An Lai, Alessandro Palmieri, Hiroyuki Takamura. A blow-up result for the semilinear Euler-Poisson-Darboux-Tricomi equation with critical power nonlinearity. 2024
Hiroyuki Takamura. Recent developments on the lifespan estimate for classical solutions of nonlinear wave equations in one space dimension. 2023
高村博之. 論説『単独非線形波動方程式の一般論とその最適性を支えるモデル方程式』. 日本数学会編『数学』. 2018. 70. 4. 357-378
高村博之. 単独非線形波動方程式の初期値問題に対する一般論の終結に関する話題. 京都大学数理解析研究所講究録. 2015. 1969. 40-63

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Lectures and oral presentations (70)：

微分型半線形波動方程式の解の最適爆発
(Okayama Workshop on Partial Differential Equations 2024)
常微分不等式に対する加藤の補題と半線形双曲型偏微分方程式への応用
(第14回室蘭非線形解析研究会 2024)
空間1次元における非線形波動方程式の一般論とモデル方程式 I, II
(研究集会「第2回非線型分散型・双曲型偏微分方程式の解の長時間挙動」 2024)
空間1次元準線形波動方程式の古典解の爆発
(2024年度日本数学会秋季総合分科会函数方程式論分科会 2024)
空間1次元における非線形波動方程式の最近の進展
(大阪大学微分方程式セミナー 2024)

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Education (2)：

1990 - 1992 Hokkaido University Faculty of Sciences Department of Mathematics, Master course
1986 - 1990 Hokkaido University Faculty of Sciences Department of Mathematics

Professional career (1)：

Doctor (Science) (Hokkaido University)

Work history (6)：

2018/04 - 現在 Tohoku University Mathematical Institute Professor
2012/04 - 2018/03 Future University Hakodate Department of Complex and Intelligent systems, Faculty of Sytems Information Science
2007/04 - 2012/03 Future University Hakodate Department of Complex and Intelligent Systems, Faculty of Systems Information Science Associate professor
2003/09 - 2007/03 Future University-Hakodate Department of Complex and Intelligent Systems, Faculty of Systems Information Science Assistant professor
1997/06 - 2003/08 University of Tsukuba Institute of Mathematics Lecturer

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Committee career (2)：

2023/04 - 2023/09 The Mathematical Society of Japan Chair of Executive Committee of MSJ Autumn Meeting 2023
2016/08 - 2018/07 日本学術振興会特別研究員等審査会専門委員(書面担当)

Awards (2)：

2018/08 - 日本学術振興会平成29年度特別研究員等審査会専門委員(書面担当) 表彰
2013/12 - Division of Functional Equations, The Mathematical Society of Japan The 5th Hukuhara Prize Blow-up of solutions to semilinear wave equations

Association Membership(s) (1)：

日本数学学会

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