Mathematical Analysis · Nonlinear PDE

Hayato Miyazaki 宮崎隼人

I study well-posedness and large-time behavior of solutions to nonlinear dispersive equations.

Associate Professor · Faculty of Education Teacher Training Courses, Kagawa University

Research & publications Curriculum vitae

Hayato Miyazaki

Latest research

2026
Preprint

Threshold for the existence of scattering states for inhomogeneous nonlinear Schrödinger equations without gauge invariance

Mourad Grira Hayato Miyazaki Slim Tayachi

submitted

arXiv
2026
Refereed paper

Correction to the article “Global well-posedness and scattering in weighted space for nonlinear Schrödinger equations below the Strauss exponent without gauge-invariance”

Masaki Kawamoto Satoshi Masaki Hayato Miyazaki

Mathematische Annalen, vol. 396, no. 1, Article 20

DOI arXiv
2026
Preprint

A Unified Integral Equation Approach to Conservation Laws for Nonlinear Schrödinger Equations

Shuji Machihara Hayato Miyazaki Tohru Ozawa

submitted

arXiv

View all research

Workshops

Upcoming workshops

Nov 14, 2026

Okayama Workshop on Partial Differential Equations

Lecture Room 21, Faculty of Science Main Building, Okayama University
Mar 16, 2027 – Mar 17, 2027

Takamatsu Workshop on Differential Equations and Related Topics

香川大学教育学部幸町北6号館611講義室

Recently held workshops

Mar 28, 2026

The 6th Inter-KOSEN Workshop on Differential Equations
Feb 7, 2026

Takamatsu Workshop on Differential Equations and Related Topics

香川大学教育学部幸町北6号館611講義室

Workshop archives

Kagawa Seminar

A mathematics seminar established in 1993 around Professor Emeritus Hirotada Naito of Kagawa University and continuing for more than thirty years.

Seminar website

Contact

Hayato Miyazaki, Faculty of Education Teacher Training Courses, Kagawa University
1-1 Saiwai-cho, Takamatsu, Kagawa 760-8522, Japan
E-mail: miyazaki.hayato (at) kagawa-u.ac.jp