Rchr
J-GLOBAL ID：202201008132638995
Update date: Nov. 23, 2024
Hayashi Masayuki
ハヤシ マサユキ | Hayashi Masayuki
Affiliation and department：
Job title：
Associate Professor
Homepage URL (1)：
https://sites.google.com/view/masayuki-hayashi/home
Research field (2)：
Mathematical analysis
, Basic analysis
Research theme for competitive and other funds (4)：
- 2024 - 2029 Analysis of critical interactions in wave fields
- 2022 - 2024 非線形分散型方程式の孤立波の数学解析
- 2019 - 2022 Mathematical analysis on nonlinear dispersive equations and its applications
- 2017 - 2019 Mathematical analysis on nonlinear Schrödinger equations
Papers (12)：
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Rémi Carles, Masayuki Hayashi, Tohru Ozawa. Low regularity solutions to the logarithmic Schrödinger equation. Pure and Applied Analysis. 2024. 6. 3. 859-871
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Masayuki Hayashi, Tohru Ozawa. The Cauchy problem for the logarithmic Schrödinger equation revisited. Annales Henri Poincaré. 2024
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Noriyoshi Fukaya, Masayuki Hayashi, Takahisa Inui. Traveling waves for a nonlinear Schrödinger system with quadratic interaction. Mathematische Annalen. 2024. 388. 2. 1357-1378
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Masayuki Hayashi. Stability of algebraic solitons for nonlinear Schrödinger equations of derivative type: variational approach. Annales Henri Poincaré. 2022. 23. 12. 4249-4277
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Noriyoshi Fukaya, Masayuki Hayashi. Instability of degenerate solitons for nonlinear Schrödinger equations with derivative. Nonlinear Analysis. 2022. 222. 112954-112954
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MISC (2)：
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Masayuki Hayashi. Sharp thresholds for stability and instability of standing waves in a double power nonlinear Schrödinger equation. unpublished note, arXiv:2112.07540. 2021
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Masayuki Hayashi. Local well-posedness for the derivative nonlinear Schrödinger equation. Proceedings of the 37th Young Researchers Seminar on Evolution Equations. 2015. 158-166
Lectures and oral presentations (62)：
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The Cauchy problem for the logarithmic Schrödinger equation in the higher energy space
(One day workshop on hyperbolic and dispersive PDEs 2024)
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Low regularity solutions to the logarithmic Schrödinger equation
(the 6th Workshop on Nonlinear Dispersive Equations - in memoriam of Rafael José Iório Jr. 2024)
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Unconditional uniqueness for the logarithmic Schrödinger equation
(Applied Analysis Seminar 2024)
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The Cauchy problem for the logarithmic NLS in the higher energy space
(Nonlinear Problems 2024)
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The Cauchy problem for the logarithmic Schrödinger equation
(2024 CAU-Kyoto U. Joint Workshop on Nonlinear PDEs 2024)
ｍore...
Professional career (1)：
- Doctor of Science (Waseda University)
Work history (5)：
- 2024/04 - 現在 Kyoto University Graduate School of Human and Environmental Studies Associate Professor
- 2022/11 - 現在 Waseda University Research Institute for Science and Engineering Adjunct Researcher
- 2022/12 - 2024/03 University of Pisa Deapartment of Mathematics Post-Doctoral Fellow
- 2022/04 - 2022/11 Kyoto University Graduate School of Science Postdoctoral researcher
- 2019/04 - 2022/03 Kyoto University Research Institute for Mathematical Sciences Research Fellow PD, Japan Society for the Promotion of Science
Awards (2)：
- 2021/09 - The Mathematical Society of Japan MSJ Takebe Katahiro Prize for Encouragement of Young Researchers
- 2014/03 - Department of Applied Physics, Waseda University Iino Prize
Association Membership(s) (1)：
The Mathematical Society of Japan
