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 (16)：

Masaki Kawamoto, Hayato Miyazaki. Modified scattering operator for nonlinear Schrödinger equations with time-decaying harmonic potentials. Nonlinear Analysis. 2025. 256. 113778
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. Mathematische Annalen. 2025
Naoyasu Kita, Hayato Miyazaki, Yuji Sagawa, Takuya Sato. Refined L^2-decay estimate of solutions to a system of dissipative nonlinear Schrödinger equations. Journal of Applied Science and Engineering A. 2024. 5. 1. 18-30
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

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MISC (7)：

Hayato Miyazaki, Motohiro Sobajima. Threshold for the existence of scattering states for nonlinear Schrödinger equations without gauge invariance. submitted. 2025
Naoyasu Kita, Hayato Miyazaki, Takuya Sato. Refinement of the $L^{2}$-decay estimate of solutions to nonlinear Schrödinger equations with attractive-dissipative nonlinearity. submitted. 2025
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 (79)：

吸引的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
(東京理科大学創域理工学部数理科学科談話会 2025)
Scattering for NLS without gauge-invariance below the Strauss exponent
(Saga Workshop on Partial Differential Equations 2025)
Small data scattering 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)
Small data scattering 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)

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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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Committee career (1)：

Awards (2)：

Association Membership(s) (1)：

The Mathematical Society of Japan

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