Hidano Kunio

ヒダノクニオ | Hidano Kunio

Affiliation and department：
Job title： Professor
Homepage URL (2)： https://kyoin.mie-u.ac.jp/profile/1065.html , http://math1.edu.mie-u.ac.jp/MathDepartment.html

Research field (1)： Basic analysis

Research keywords (2)： Nonlinear partial differential equations , Partial differential equations

Research theme for competitive and other funds (10)：

2024 - 2027 弱零条件と非線形波動方程式系の時間大域解の存在・非存在
2021 - 2024 Global solutions to the Cauchy problem for systems of quasi-linear wave equations satisfying the weak null condition
2018 - 2021 Challenges to unexplored fields of research on the Cauchy problem for systems of quasi-linear wave equations--large-time behavior and regularity of solutions--
2015 - 2018 On the lifespan and asymptotic behavior of solutions to systems of wave equations with nonlinear terms of long range effects
2014 - 2015 ...

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Papers (31)：

HIDANO, Kunio. (Proceedings) D’Alembert formula approach to semi-linear systems of wave equations with or without the null condition. Proceedings of 48th Sapporo Symposium on Partial Differential Equations, Hokkaido University technical report series in Mathematics, 185. 2023. 111-123
Kunio HIDANO, Kazuyoshi YOKOYAMA. Global existence for null-form wave equations with data in a Sobolev space of lower regularity and weight. Hokkaido Mathematical Journal. 2023. 52. 2. 197-251
Kunio Hidano, Kazuyoshi Yokoyama, Dongbing Zha. Global existence for a system of multiple-speed wave equations violating the null condition. The Tohoku Mathematical Journal. Second Series. 2022. 74. 4. 597-626
Kunio HIDANO, Kazuyoshi YOKOYAMA. Global existence and blow up for systems of nonlinear wave equations related to the weak null condition. Discrete and Continuous Dynamical Systems. 2022. 42. 9. 4385-4414
Dongbing Zha, Kunio Hidano. Global solutions to systems of quasilinear wave equations with low regularity data and applications. Journal des Math\'ematiques Pures et Appliqu\'ees. 2020. 142. 10. 146-183

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Lectures and oral presentations (39)：

Global solutions to wave equations with the Strauss-supercritical and the null form nonlinear terms
(Minami-Osawa Partial Differential Equations Meeting 2024)
Global existence for 1-d semi-linear, multiple-speed systems of wave equations with the null condition
(2024)
Global existence for a 2-speed and 3-component semilinear system of wave equations in 3D
(MSJ Spring Meeting 2024 (Osaka Metropolitan University) 2024)
"Combined effect" and global existence of small solutions to critical-power nonlinear wave equations~with admiration for Professor ZHOU Yi's achievements~
(Workshop on Nonlinear Hyperbolic PDEs. On the occasion of 60th birthday of Professor Yi Zhou 2023)
Global existence for 1-d semi-linear, multiple-speed systems of wave equations with the null condition
(Matsumoto PDE Conference 2023)

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Education (3)：

Professional career (1)：

Work history (8)：

2014/04 - 現在 Mie University Faculty of Education Professor
2023/11 - 2023/11 Nagoya University Graduate School of Mathematics Lecturer (1 week)
2020/11 - 2020/11 Tohoku University Graduate School of Science Lecturer (1 week)
2003/04 - 2014/03 Mie University Faculty of Education Assiociate Professor
2005/02 - 2005/02 University of Tsukuba Graduate School of Pure and Applied Sciences Lecturer (1 week)

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Awards (1)：

2012/12 - The Division of Functional Equations, The Mathematical Society of Japan. The 4th Fukuhara Prize. Global existence and lifespan for solutions to nonlinear hyperbolic equations

Association Membership(s) (1)：

The Mathematical Society of Japan (MSJ)

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