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 (9)：

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Papers (13)：

Satoshi Masaki, Hayato Miyazaki. Global behavior of solutions to generalized Gross-Pitaevskii equation. Differential Equations and Dynamical Systems. 2024. 32. 743-761
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
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 (7)：

Masaki Kawamoto, Satoshi Masaki, Hayato Miyazaki. Global well-posedness and scattering in weighted space for nonlinear Schrödinger equations below the Strauss exponent without gauge-invariance. submitted. 2024
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

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Lectures and oral presentations (77)：

Global well-posedness for NLS without gauge-invariance below the Strauss exponent
(第3回信州若里偏微分方程式セミナー 2024)
Global well-posedness for NLS without gauge-invariance below the Strauss exponent
(RIMS Symposia (open) Evolution Equations and Related Topics -Quantitative Analysis and Abstract Structures- 2024)
Global well-posedness for NLS without gauge-invariance below the Strauss exponent
(Imadegawa Workshop on Dispersive Equations 2024)
星グラフ上の非線形シュレディンガー方程式における解の漸近挙動について
(第11回茨城高専数学セミナー 2024)
Modified scattering operator for nonlinear Schrödinger equations with a time-decaying harmonic potential
(第6回ひこね解析セミナー 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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