Hayashi, Masayuki(Graduate School of Human and Environmental Studies, Department of Mathematical and Information Sciences) | Activity Database on Education and Research, Kyoto University

Hayashi, Masayuki

Graduate School of Human and Environmental Studies, Department of Mathematical and Information Sciences Associate Professor

Last Updated :2025/05/30

Basic Information

Faculty

Faculty of Integrated Human Studies

Email Address

Email Address
hayashi.masayuki.3mkyoto-u.ac.jp

Professional Memberships

The Mathematical Society of Japan

Academic Degree

15 Mar. 2016
早稲田大学修士（理学）

15 Mar. 2019
早稲田大学博士（理学）

Academic Resume (Undergraduate School/Majors)

Waseda University, School of Advanced Science and Engineering, Department of Applied Physics, Graduation

High School

High School
Waseda University Senior High School

Research History

From Apr. 2024, To Present
Kyoto University, Graduate School of Human and Environmental Studies, Associate Professor

From Dec. 2022, To Mar. 2024
University of Pisa, Deapartment of Mathematics, Post-Doctoral Fellow

From Apr. 2022, To Nov. 2022
Kyoto University, Graduate School of Science, Post-Doctoral Fellow

From Apr. 2022, To Nov. 2022
Kyoto University, Graduate School of Science, Assistant Teaching Staff

From Apr. 2019, To Mar. 2022
Kyoto University, Research Institute for Mathematical Sciences, Research Fellow PD, Japan Society for the Promotion of Science

ID,URL

ORCID ID
0000-0003-1467-7437
J-Global ID
202201008132638995
Researcher number
60967850
External link
https://sites.google.com/view/masayuki-hayashi/home

researchmap URL

https://researchmap.jp/m_hayashi

Last Updated :2025/05/30

Research

Research Areas

Natural sciences, Mathematical analysis, 偏微分方程式論

Natural sciences, Basic analysis

Papers

The Cauchy Problem for the logarithmic Schrödinger equation revisited
Masayuki Hayashi; Tohru Ozawa
Annales Henri Poincaré, Apr. 2025, Peer-reviewed

Global H²-solutions for the generalized derivative NLS on T
Masayuki Hayashi; Tohru Ozawa; Nicola Visciglia
SIAM Journal on Mathematical Analysis, 21 Mar. 2025, Peer-reviewed

Instability of stationary solutions for double power nonlinear Schrödinger equations in one dimension
Noriyoshi Fukaya; Masayuki Hayashi
Partial Differential Equations and Applications, 06 Jan. 2025, Peer-reviewed

Low regularity solutions to the logarithmic Schrödinger equation
Rémi Carles; Masayuki Hayashi; Tohru Ozawa
Pure and Applied Analysis, 01 Oct. 2024, Peer-reviewed

Traveling waves for a nonlinear Schrödinger system with quadratic interaction
Noriyoshi Fukaya; Masayuki Hayashi; Takahisa Inui
Mathematische Annalen, Feb. 2024, Peer-reviewed

Potential well theory for the derivative nonlinear Schrödinger equation
Masayuki Hayashi
Analysis & PDE, 18 May 2021, Peer-reviewed

Instability of degenerate solitons for nonlinear Schrödinger equations with derivative
Noriyoshi Fukaya; Masayuki Hayashi
Nonlinear Analysis, Sep. 2022, Peer-reviewed

Instability of algebraic standing waves for nonlinear Schrödinger equations with double power nonlinearities
Noriyoshi Fukaya; Masayuki Hayashi
Transactions of the American Mathematical Society, 25 Nov. 2020, Peer-reviewed

Stability of algebraic solitons for nonlinear Schrödinger equations of derivative type: variational approach
Masayuki Hayashi
Annales Henri Poincaré, Dec. 2022, Peer-reviewed
Access this paper :

Long-period limit of exact periodic traveling wave solutions for the derivative nonlinear Schrödinger equation
Masayuki Hayashi
Annales de l'Institut Henri Poincaré C, Analyse non linéaire, Aug. 2019, Peer-reviewed

A note on the nonlinear Schrödinger equation in a general domain
Masayuki Hayashi
Nonlinear Analysis, Aug. 2018, Peer-reviewed

A sufficient condition for global existence of solutions to a generalized derivative nonlinear Schrödinger equation
Noriyoshi Fukaya; Masayuki Hayashi; Takahisa Inui
Analysis & PDE, 01 Jul. 2017, Peer-reviewed

Well-posedness for a generalized derivative nonlinear Schrödinger equation
Masayuki Hayashi; Tohru Ozawa
Journal of Differential Equations, Nov. 2016, Peer-reviewed

On Landau-Kolmogorov inequalities for dissipative operators
Masayuki Hayashi; Tohru Ozawa
Proceedings of the American Mathematical Society, 03 Oct. 2016, Peer-reviewed

Misc.

Uniqueness of solutions for the logarithmic Schrödinger equation
Masayuki Hayashi
arXiv:2503.20531, 26 Mar. 2025

Sharp thresholds for stability and instability of standing waves in a double power nonlinear Schrödinger equation
Masayuki Hayashi
unpublished note, arXiv:2112.07540, 14 Dec. 2021

Local well-posedness for the derivative nonlinear Schrödinger equation
Masayuki Hayashi
Proceedings of the 37th Young Researchers Seminar on Evolution Equations, Sep. 2015

Presentations

Low regularity solutions to the logarithmic Schrödinger equation
Masayuki Hayashi
The 16th Nagoya Workshop on Differential Equations, 11 Mar. 2025, Invited

The Cauchy problem for the logarithmic Schrödinger equation in the higher energy space
Masayuki Hayashi
Hamamatsu Partial Differential Equations Symposium, 24 Dec. 2024, Invited

The Cauchy problem for the logarithmic Schrödinger equation in the higher energy space
Masayuki Hayashi
One day workshop on hyperbolic and dispersive PDEs, 22 Nov. 2024, Invited

Low regularity solutions to the logarithmic Schrödinger equation
Masayuki Hayashi
the 6th Workshop on Nonlinear Dispersive Equations - in memoriam of Rafael José Iório Jr., 06 Nov. 2024, Invited

Unconditional uniqueness for the logarithmic Schrödinger equation
Masayuki Hayashi
Applied Analysis Seminar, 21 Sep. 2024, Invited

The Cauchy problem for the logarithmic NLS in the higher energy space
Masayuki Hayashi
Nonlinear Problems, 18 Sep. 2024, Invited

Blowup dynamics for the critical nonlinear Schrödinger equation
Masayuki Hayashi
分散型方程式オンライン研究会, May 2021

The Cauchy problem for the logarithmic Schrödinger equation
Masayuki Hayashi
2024 CAU-Kyoto U. Joint Workshop on Nonlinear PDEs, 29 Aug. 2024, Invited

Global H²-solutions for the generalized derivative NLS on the torus
Masayuki Hayashi
Kyoto NLPDE Seminar, 21 Jun. 2024, Invited

Global H²-solutions for the generalized derivative NLS on the torus
Masayuki Hayashi
Osaka Differential Equations Seminar, 17 May 2024, Invited

Modified energies for the generalized derivative nonlinear Schrödinger equation
Masayuki Hayashi
Workshop on Dispersive Equations, 13 Mar. 2024, Invited

Modified energies for the generalized derivative nonlinear Schrödinger equation
Masayuki Hayashi
A three-day Dispersive Meeting in Pisa, 09 Feb. 2024, Invited

Modified energies for the generalized derivative NLS
Masayuki Hayashi
Incontri di Analisi Matematica tra Firenze, Pisa e Siena, 06 Dec. 2023, Invited

Traveling waves for a nonlinear Schrödinger system with quadratic interaction
Masayuki Hayashi
Analysis Seminar, Seminari MAP, 03 May 2023, Invited

Instability of stationary solutions for double power nonlinear Schrödinger equations in one dimension
Noriyoshi Fukaya; Masayuki Hayashi
MSJ Spring Meeting, 17 Mar. 2023

Instability of stationary solutions for double power nonlinear Schrödinger equations
Masayuki Hayashi
Workshop “Nonlinear Waves and Hamiltonian PDE’s”, 01 Mar. 2023, Invited

Traveling waves for a nonlinear Schrödinger system with quadratic interaction
Masayuki Hayashi
Workshop on recent progress in standing waves for nonlinear Schrödinger equations, 12 Nov. 2022, Invited

Traveling waves for a nonlinear Schrödinger system with quadratic interaction
Noriyoshi Fukaya; Masayuki Hayashi; Takahisa Inui
日本数学会2022年度秋季総合分科会, 15 Sep. 2022

Instability theory of solitary waves in a double power nonlinear Schrödinger equation
Masayuki Hayashi
Applied Analysis Seminar, 09 Jul. 2022, Invited

Instability of degenerate solitons for nonlinear Schrödinger equations of derivative type
Masayuki Hayashi
Tohoku University Applied Mathematical Analysis Seminar, 30 Jun. 2022, Invited

Instability of degenerate solitons for nonlinear Schrödinger equations of derivative type
Masayuki Hayashi
Online Seminars on PDEs and Harmonic Analysis, 08 Jun. 2022, Invited

Instability of degenerate solitons for nonlinear Schrödinger equations of derivative type
Masayuki Hayashi
Kagurazaka Analysis Seminar, 28 May 2022, Invited

Stability theory of standing waves in a double power nonlinear Schrödinger equation
Masayuki Hayashi
Multifaceted Research on Linear and Nonlinear Dispersive Equations, 16 May 2022, Invited

Sharp thresholds for stability and instability of standing waves in a double power nonlinear Schrödinger equation
Masayuki Hayashi
Annual Division Conference, the Division of Functional Equations of the Mathematical Society of Japan, 18 Dec. 2021, Invited

Instability of algebraic standing waves for nonlinear Schrödinger equations with double power nonlinearities
Noriyoshi Fukaya; Masayuki Hayashi
MSJ Spring Meeting, 18 Mar. 2020

Characterization of 4π-mass condition for the derivative nonlinear Schrödinger equation
Masayuki Hayashi
MSJ Autumn Meeting, 19 Sep. 2019

Variational approach to nonlinear Schrödinger equations of derivative type II: Orbital stability
Masayuki Hayashi
MSJ Spring Meeting, 20 Mar. 2019

Variational approach to nonlinear Schrödinger equations of derivative type I: Global existence
Masayuki Hayashi
MSJ Spring Meeting, 20 Mar. 2019

Global well-posedness for a generalized nonlinear derivative Schrödinger equation
Noriyoshi Fukaya; Masayuki Hayashi; Takahisa Inui
MSJ Spring Meeting, 27 Mar. 2017

Global well-posedness on a generalized nonlinear derivative Schrödinger equation
Noriyoshi Fukaya; Masayuki Hayashi; Takahisa Inui
The 42th Workshop on Evolution Equations, 26 Dec. 2016

Global solutions for a generalized nonlinear derivative Schrödinger equation
Masayuki Hayashi; Tohru Ozawa
MSJ Spring Meeting, 19 Mar. 2016

Local well-posedness for the derivative nonlinear Schrödinger equation
Masayuki Hayashi; Tohru Ozawa
MSJ Autumn Meeting, 16 Sep. 2015

Local well-posedness for the derivative nonlinear Schrödinger equation
Masayuki Hayashi
The 37th Young Researchers Seminar on Evolution Equations, 25 Aug. 2015

Instability of degenerate solitons for nonlinear Schrödinger equations with derivative
Masayuki Hayashi
Nonlinear Wave Equations, 21 Dec. 2021, Invited

Instability of degenerate solitons for nonlinear Schrödinger equations with derivative
Masayuki Hayashi
Osaka Differential Equations Seminar, 19 Nov. 2021, Invited

Instability of degenerate solitons for the nonlinear Schrödinger equation with derivative
Masayuki Hayashi
Kumamoto Applied Analysis Seminar, 06 Nov. 2021, Invited

Instability of standing waves for a double power nonlinear Schrödinger equation
Masayuki Hayashi
九州関数方程式セミナー, 21 Jul. 2021, Invited

Instability of degenerate solitons for nonlinear Schrödinger equations with derivative
Masayuki Hayashi
NLPDE one day セミナー, 10 Jul. 2021, Invited

Instability of standing waves for a double power nonlinear Schrödinger equation
Masayuki Hayashi
Applied Analysis Seminar, 16 Jun. 2020, Invited

Variational approach to the derivative nonlinear Schrödinger equation
Masayuki Hayashi
Workshop on nonlinear wave equations and related topics in Kobe, 21 Nov. 2019, Invited

Stability of solitary waves for nonlinear Schrödinger equations with derivative
Masayuki Hayashi
Applied Analysis Seminar, 09 Jul. 2019, Invited

Instability of algebraic standing waves for nonlinear Schrödinger equations with double power nonlinearities
Masayuki Hayashi
The 5th KTGU Mathematics Workshop for Young Researchers, 20 Feb. 2020, Invited

Orbital stability of solitary waves for nonlinear Schrödinger equations of derivative type
Masayuki Hayashi
Kagurazaka Analysis Seminar, 16 May 2019, Invited

Variational approach for nonlinear Schrödinger equations with derivative: Global existence
Masayuki Hayashi
Hiroshima Mathematical Analysis Seminar, 10 May 2019, Invited

Potential well theory for nonlinear Schrödinger equations of derivative type
Masayuki Hayashi
Kyoto NLPDE Seminar, 12 Apr. 2019, Invited

Potential well theory for nonlinear Schrödinger equations with derivative
Masayuki Hayashi
Applied Analysis Symposium, 11 Mar. 2019, Invited

Variational approach to nonlinear Schrödinger equations of derivative type
Masayuki Hayashi
PDE Workshop in Miyazaki, 09 Jan. 2019, Invited

On nonlinear Schrödinger equations of derivative type
Masayuki Hayashi
Osaka Differential Equations Seminar, 13 Jul. 2018, Invited

Long-period limit of exact periodic traveling wave solutions for the derivative nonlinear Schrödinger equation
Masayuki Hayashi
Nagoya Differential equations Seminar, 28 May 2018, Invited

On exact periodic traveling wave solutions for the derivative nonlinear Schrödinger equation
Masayuki Hayashi
Kagurazaka Nonlinear Waves Seminar, 22 Mar. 2018, Invited

On damped nonlinear Schrödinger equations
Masayuki Hayashi
Tsuda University PDE Seminar, 13 Feb. 2018, Invited

A sufficient condition for global existence of solutions to a generalized derivative nonlinear Schrödinger equation
Masayuki Hayashi
Regularity, singularity and symptotic behavior of solutions to partial differential equations with conservation law, 07 Jun. 2017, Invited

Global existence for derivative nonlinear Schrödinger equations
Masayuki Hayashi
Applied Analysis Symposium, 14 Mar. 2017, Invited

Well-posedness for a generalized derivative nonlinear Schrödinger equation
Masayuki Hayashi
Kagurazaka Analysis Seminar, 23 Apr. 2016, Invited

Characterization of 4π-mass condition for the derivative nonlinear Schrödinger equation
Masayuki Hayashi
Workshop on recent progress in nonlinear dispersive PDEs, 25 Nov. 2019, Invited

Potential well theory for the derivative nonlinear Schrödinger equation
Masayuki Hayashi
2019 CAU-RIMS Joint Workshop on Nonlinear PDEs, 25 Apr. 2019, Invited

Potential well theory for the derivative nonlinear Schrödinger equation
Masayuki Hayashi
Waseda Workshop on Partial Differential Equations 2019, 23 Mar. 2019, Invited

Variational approach for the nonlinear Schrödinger equation with derivative
Masayuki Hayashi
International Workshop on “Fundamental Problems in Mathematical and Theoretical Physics, 16 Jul. 2018, Invited

Global existence of solutions for the derivative nonlinear Schrödinger equation
Masayuki Hayashi
The 12th AIMS Conference on Dynamical Systems, Differential Equations and Applications, 06 Jul. 2018, Invited

Remarks on the nonlinear Schrödinger equations in a general domain
Masayuki Hayashi
Critical exponent and nonlinear evolution equations 2018, 16 Feb. 2018, Invited

Global existence of solutions for the derivative nonlinear Schrödinger equation
Masayuki Hayashi
Third Workshop on Nonlinear Dispersive Equations, 08 Nov. 2017, Invited

Remarks on the nonlinear Schrödinger equations in a general domain
Masayuki Hayashi
International Workshop on “Fundamental Problems in Mathematical and Theoretical Physics”, 27 Jul. 2017, Invited

Well-posedness for a generalized derivative nonlinear Schrödinger equation
Masayuki Hayashi
International Workshop on “Fundamental Problems in Mathematical and Theoretical Physics”, 21 Jul. 2016, Invited

Well-posedness for a generalized derivative nonlinear Schrödinger equation
Masayuki Hayashi
The 11th AIMS Conference on Dynamical Systems, Differential Equations and Applications, 03 Jul. 2016, Invited

Awards

26 Mar. 2014
早稲田応用物理会賞（飯野賞）

15 Sep. 2021
日本数学会賞建部賢弘奨励賞

External funds: Kakenhi

Mathematical analysis on solitary waves for nonlinear dispersive equations
Grant-in-Aid for Research Activity Start-up
0201:Algebra, geometry, analysis, applied mathematics,and related fields
Waseda University
Masayuki Hayashi
From 31 Aug. 2022, To 31 Mar. 2024, Project Closed
非線形分散型方程式;非線形シュレディンガー方程式;孤立波;進行波;代数ソリトン;不安定性;コーシー問題;エネルギー空間;初期値問題;ソリトン;定常解;変分法;進行波解;安定性
https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-22K20337/

Analysis of critical interactions in wave fields
Grant-in-Aid for Scientific Research (S)
Broad Section B
Waseda University
小澤徹
From 01 Apr. 2024, To 31 Mar. 2029, Granted
調和解析;漸近解析;変分解析;函数解析
https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-24H00024/

非線形分散型方程式の代数ソリトンと大域解析
Grant-in-Aid for Early-Career Scientists
Basic Section 12020:Mathematical analysis-related
Kyoto University
林雅行
From 01 Apr. 2025, To 31 Mar. 2030, Adopted
https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-25K17277/

Last Updated :2025/05/30

Education

Teaching subject(s)

From 01 Apr. 2025, To 31 Mar. 2026
Research in Mathematical Science
8269, Year-long, Faculty of Integrated Human Studies, 8

From 01 Apr. 2025, To 31 Mar. 2026
Calculus with Exercises B
N150, Fall, Institute for Liberal Arts and Sciences, 3

From 01 Apr. 2025, To 31 Mar. 2026
Calculus with Exercises A
N149, Spring, Institute for Liberal Arts and Sciences, 3

From 01 Apr. 2025, To 31 Mar. 2026
Applied Analysis A
8204, Spring, Faculty of Integrated Human Studies, 2

From 01 Apr. 2025, To 31 Mar. 2026
Introduction to Mathematical and Information Sciences
0060, Spring, Faculty of Integrated Human Studies, 2

From 01 Apr. 2025, To 31 Mar. 2026
Nonlinear Phenomena
AA05, Spring, Graduate School of Human and Environmental Studies, 2

From 01 Apr. 2025, To 31 Mar. 2026
Basic Seminar on Mathematical Sciences
AA01, Spring, Graduate School of Human and Environmental Studies, 2

From 01 Apr. 2025, To 31 Mar. 2026
Fundamentals for Transdisciplinary Research 1
KK02, Spring, Graduate School of Human and Environmental Studies, 2

From 01 Apr. 2025, To 31 Mar. 2026
Seminar on Mathematics of Phenomena 3B
AA13, Fall, Graduate School of Human and Environmental Studies, 2

From 01 Apr. 2025, To 31 Mar. 2026
Seminar on Mathematics of Phenomena 3A
AA12, Spring, Graduate School of Human and Environmental Studies, 2

From 01 Apr. 2024, To 31 Mar. 2025
Calculus with Exercises B
N150, Fall, Institute for Liberal Arts and Sciences, 3

From 01 Apr. 2024, To 31 Mar. 2025
Calculus with Exercises A
N149, Spring, Institute for Liberal Arts and Sciences, 3

From 01 Apr. 2024, To 31 Mar. 2025
Research in Mathematical Science
8269, Year-long, Faculty of Integrated Human Studies, 8

From 01 Apr. 2024, To 31 Mar. 2025
Introduction to Mathematical and Information Sciences
0060, Spring, Faculty of Integrated Human Studies, 2

From 01 Apr. 2024, To 31 Mar. 2025
Seminar in Mathematics and Informatics
5973, Spring, Faculty of Integrated Human Studies, 2

From 01 Apr. 2024, To 31 Mar. 2025
Fundamentals for Transdisciplinary Research 1
KK02, Spring, Graduate School of Human and Environmental Studies, 2

From 01 Apr. 2024, To 31 Mar. 2025
Seminar on Mathematics of Phenomena 3B
AA13, Fall, Graduate School of Human and Environmental Studies, 2

From 01 Apr. 2024, To 31 Mar. 2025
Seminar on Mathematics of Phenomena 3A
AA12, Spring, Graduate School of Human and Environmental Studies, 2

From 01 Apr. 2024, To 31 Mar. 2025
Basic Seminar on Mathematical Sciences
AA01, Spring, Graduate School of Human and Environmental Studies, 2

From 01 Apr. 2022, To 31 Mar. 2023
Calculus with Exercises B
N150, Fall, Institute for Liberal Arts and Sciences, 3

Last Updated :2025/05/30

Administration

Faculty management (title, position)

From 01 Apr. 2024, To 31 Mar. 2025
総人・人環フォーラム編集小委員会委員

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