Kawamoto Masaki

Affiliation and department：

Research field (1)： Mathematical analysis

Research keywords (5)： Non-selfadjoint operator , Strichartz estimate , Schr\"{o}dinger equations , electromagnetic field , Scattering theory

Research theme for competitive and other funds (3)：

2024 - 2028 電磁場中の非線形シュレディンガー方程式の修正散乱についての多角的研究
2020 - 2024 Spectral and scattering theory for Schr\"{o}dinger equations in magnetic fields
2018 - 2019 時間に依存した電磁場中の Schr\"{o}dinger 方程式の解の漸近挙動の解析

Papers (20)：

Atsuhide Ishida, Masaki Kawamoto. Nonexistence of wave operators via strong propagation estimates for Schrödinger operators with sub-quadratic repulsive potentials. Journal of Mathematical Physics. 2023. 64. 12
Masaki Kawamoto, Hayato Miyazaki. Long-range scattering for a critical homogeneous type nonlinear Schrödinger equation with time-decaying harmonic potentials. Journal of Differential Equations. 2023. 365. 127-167
Masaki Kawamoto, Takuya Sato. Asymptotic behavior of solutions to a dissipative nonlinear Schrödinger equation with time-dependent harmonic potentials. Journal of Differential Equations. 2023. 345. 418-446
Masaki Kawamoto, Taisuke Yoneyama. Strichartz estimates for quadratic repulsive potentials. Partial Differential Equations and Applications. 2022. 3. 15
Masaki Kawamoto. Asymptotic behavior for nonlinear Schr\"{o}dinger equations with critical time-decaying harmonic potential. Journal of Differential Equations. 2021. 303. 5. 253-267

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MISC (9)：

Atsuhide Ishida, Masaki Kawamoto. On Schrödinger equation with square and inverse-square potentials. arXiv:2404.04756. 2024
Masaki Kawamoto, Hayato Miyazaki. Modified scattering operator for nonlinear Schrödinger equations with time-decaying harmonic potentials. arXiv:2403.02657. 2024
Masaki Kawamoto, Haruya Mizutani. Modified scattering for nonlinear Schr\"odinger equations with long-range potentials. arXiv:2308.13254. 2023
Masaki Kawamoto. On quantum system with time-periodic magnetic fields. RIMS Kokyuroku. 2021
Masaki Kawamoto. Asymptotic completeness of wave operators for Schrödinger operators with time-periodic magnetic fields. arXiv:2105.06116. 2021

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Lectures and oral presentations (70)：

Modified scattering for nonlinear Schrödinger equations with long-range potentials
(2024)
時間減衰磁場中の非線形修正散乱作用素の構成について
(愛媛大学数学談話会 2024)
時間減衰する調和振動子を持つ非線形シュレディンガー方程式の修正散乱作用素について
(日本数学会2024年度春季分科会 2024)
時間減衰調和振動子付き非線形シュレディンガー方程式に対する散乱作用素の構成について
(Workshop on nonlinear wave equations and related topics in Kobe 2023)
Modified scattering for nonlinear Schrödinger equations with long-range potentials
(Online Seminars on PDEs and Harmonic Analysis 2023)

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Professional career (1)：

Work history (9)：

2024/04 - 現在 Okayama University The Research Institute for Interdisciplinary Science Assistant Professor
2022/10 - 2024/03 Ehime University
2019/10 - 2022/09 Ehime University Graduate School of Science and Engineering Lecturer
2017/04 - 2019/09 Tokyo University of Science Department of Mathematics, Faculty of Science Research Associate
2019/04 - 2019/07 Université de Bordeaux Researcher

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Association Membership(s) (1)：

THE MATHEMATICAL SOCIETY OF JAPAN

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