Rchr
J-GLOBAL ID：202201008132638995
Update date: Jun. 24, 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 (3)：
- 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 (10)：
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Noriyoshi Fukaya, Masayuki Hayashi, Takahisa Inui. Traveling waves for a nonlinear Schrödinger system with quadratic interaction. Mathematische Annalen. 2022
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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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Masayuki Hayashi. Potential well theory for the derivative nonlinear Schrödinger equation. Analysis & PDE. 2021. 14. 3. 909-944
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Noriyoshi Fukaya, Masayuki Hayashi. Instability of algebraic standing waves for nonlinear Schrödinger equations with double power nonlinearities. Transactions of the American Mathematical Society. 2020. 374. 2. 1421-1447
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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 unpublished note, arXiv:2112.07540. 2021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 (56)：
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Global <i>H</i><sup>2</sup>-solutions for the generalized derivative NLS on the torus
(Kyoto NLPDE Seminar 2024)
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Global <i>H</i><sup>2</sup>-solutions for the generalized derivative NLS on the torus
(Osaka Differential Equations Seminar 2024)
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Modified energies for the generalized derivative nonlinear Schrödinger equation
(Workshop on Dispersive Equations 2024)
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Modified energies for the generalized derivative nonlinear Schrödinger equation
(A three-day Dispersive Meeting in Pisa 2024)
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Modified energies for the generalized derivative NLS
(Incontri di Analisi Matematica tra Firenze, Pisa e Siena 2023)
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Education (3)：
- 2016 - 2019 Waseda University Graduate School of Advanced Science and Engineering Doctoral Course
- 2014 - 2016 Waseda University Graduate School of Advanced Science and Engineering Master Course
- 2010 - 2014 Waseda University School of Advanced Science and Engineering
Professional career (1)：
- Doctor of Science (Waseda University)
Work history (6)：
- 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
- 2017/04 - 2019/03 Waseda University Graduate School of Advanced Science and Engineering Research Fellow DC2, Japan Society for the Promotion of Science
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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
