Miyazaki Hayato

ミヤザキハヤト | Miyazaki Hayato

Affiliation and department：
Homepage URL (1)： https://sites.google.com/view/hayato-miyazaki/home

Research field (1)： Mathematical analysis

Research keywords (5)： Well-posedness , Stability of stationary waves , behavior of solutions , Scattering problem , Nonlinear dispersive equations

Research theme for competitive and other funds (8)：

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Papers (13)：

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
Kazuki Aoki, Takahisa Inui, Hayato Miyazaki, Haruya Mizutani, Kota Uriya. Asymptotic behavior for the long-range nonlinear Schrödinger equation on star graph with the Kirchhoff boundary condition. Pure and Applied Analysis. 2022. 4. 2. 287-311
Satoshi Masaki, Hayato Miyazaki. Global behavior of solutions to generalized Gross-Pitaevskii equation. published online in Differential Equations and Dynamical Systems. 2022
Hayato Miyazaki. Strong blow-up instability for standing wave solutions to the system of the quadratic nonlinear Klein-Gordon equations. Discrete & Continuous Dynamical Systems. 2021. 41. 5. 2411-2445
Hayato Miyazaki. Lower bound for the lifespan of solutions to the generalized KdV equation with low-degree of nonlinearity. Advanced Studies in Pure Mathematics. 2020. 85. 303-313

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MISC (6)：

Masaki Kawamoto, Hayato Miyazaki. Modified scattering operator for nonlinear Schrödinger equations with time-decaying harmonic potentials. submitted. 2024
Hayato Miyazaki. Improvement of a regularity condition for long-range scattering for NLS with critical homogeneous nonlinearity. RIMS Kôkyûroku. 2023. 2257. 79-88
宮崎隼人. パスカル三角形から始まる数学. 「数学研究」香川県高等学校教育研究会数学部会誌. 2022. 66. 1-8
Kazuki Aoki, Takahisa Inui, Hayato Miyazaki, Haruya Mizutani, Kota Uriya. Modified scattering for inhomogeneous nonlinear Schrödinger equations with and without inverse-square potential. submitted. 2021
宮崎隼人. 空間遠方で消滅しない境界条件をもつ非線型シュレディンガー方程式のエネルギー解について. 第36回発展方程式若手セミナー報告集. 2014. 175-182

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Lectures and oral presentations (72)：

Modified scattering operator for nonlinear Schrödinger equations with a time-decaying harmonic potential
(PDEs Research Group Seminar 2024)
Modified scattering operator for nonlinear Schrödinger equations with a time-decaying harmonic potential
(Workshop on dispersive PDE 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年度年会 2024)
Modified Scattering Operator for Nonlinear Schrödinger Equations with a Time-Decaying Harmonic Potential
(Colloquium 2024)
消散構造を持つ非線形シュレディンガー方程式における解の質量減衰について
(第219回愛媛大学解析セミナー 2024)

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Education (3)：

2012 - 2015 Hiroshima University Graduate School of Science Doctoral Program, Department of Mathematics
2009 - 2011 Hiroshima University Graduate School of Science Master's Program, Department of Mathematics
2005 - 2009 Hiroshima University Faculty of Science Department of Mathematics

Professional career (2)：

Work history (13)：

2020/10 - 現在 Kagawa University Faculty of Education Teacher Training Courses Associate Professor
2022/10 - 2023/03 Oita University Faculty of Science and Technology Part-time Lecturer
2020/10 - 2021/03 National Institute of Technology, Tsuyama College Part-time lecturer
2020/04 - 2020/09 National Institute of Technology, Tsuyama College Department of Integrated Science and Technology Advanced Science Program Associate Professor
2016/04 - 2020/03 National Institute of Technology, Tsuyama College Department of Integrated Science and Technology Advanced Science Program Lecturer

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Awards (2)：

Association Membership(s) (1)：

The Mathematical Society of Japan

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