宮崎隼人

ミヤザキハヤト | Miyazaki Hayato

所属機関・部署：
職名：准教授
ホームページURL (1件)： https://sites.google.com/view/hayato-miyazaki/home

研究分野 (1件)：数理解析学

研究キーワード (5件)：解の適切性 , 定在波の安定性 , 解挙動 , 散乱問題 , 非線形分散型方程式

競争的資金等の研究課題 (9件)：

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論文 (13件)：

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

MISC (7件)：

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

講演・口頭発表等 (77件)：

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)

学歴 (3件)：

学位 (2件)：

経歴 (13件)：

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受賞 (2件)：

所属学会 (1件)：

日本数学会

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宮崎 隼人