Noriyoshi Fukaya

Profile Information

Affiliation: Project Researcher, Institute for Mathematics and Computer Science, Tsuda University
: Special Researcher, Osaka Central Advanced Mathematical li nstitute, Osaka Metropolitan University

Degree: 博士（理学）(東京理科大学)

Contact information: noriyoshi.fukayagm.tsuda.ac.jp
J-GLOBAL ID: 201901003727732106
researchmap Member ID: B000375417

Research Interests

Nonlinear Partial Differential Equations

Research Areas

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

Research History

Apr, 2024 - Present

Special Researcher, Osaka Central Advanced Mathematical li nstitute, Osaka Metropolitan University
Apr, 2024 - Present

Project Researcher, Institute for Mathematics and Computer Science, Tsuda University
Apr, 2020 - Mar, 2024

Research Institute for Science and Technology, Tokyo University of Science
Apr, 2019 - Mar, 2024

Faculty of Science, Division 1 Mathematics, Tokyo University of Science
Apr, 2018 - Mar, 2019

Graduate School of Science, Tokyo University of Science

Education

Apr, 2016 - Mar, 2019

Department of Mathematics, Graduate School of Science, Tokyo University of Science
Apr, 2014 - Mar, 2016

Department of Mathematics, Graduate School of Science, Tokyo University of Science
Apr, 2010 - Mar, 2014

Department of Mathematics, Faculty of Science, Division 1, Tokyo University of Science
- 2014

Department of Mathematics, Faculty of Science, Tokyo University of Science

Papers

Traveling waves for a nonlinear Schrödinger system with quadratic interaction

Noriyoshi Fukaya, Masayuki Hayashi, Takahisa Inui

Mathematische Annalen, 388(2) 1357-1378, Feb 1, 2024 Peer-reviewed
Instability of degenerate solitons for nonlinear Schrödinger equations with derivative

Noriyoshi Fukaya, Masayuki Hayashi

Nonlinear Analysis, 222 112954-112954, Sep, 2022 Peer-reviewed
On stability and instability of standing waves for 2d-nonlinear Schrödinger equations with point interaction

Noriyoshi Fukaya, Vladimir Georgiev, Masahiro Ikeda

Journal of Differential Equations, 321 258-295, Jun 5, 2022 Peer-reviewed
Stability of standing waves for $L^2$-critical nonlinear Schrödinger equations with attractive inverse-power potential

FUKAYA, Noriyoshi

数理解析研究所講究録別冊, B88 45-54, Dec, 2021 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, 374(2) 1421-1447, Feb, 2021 Peer-reviewed
Uniqueness and nondegeneracy of ground states for nonlinear Schrödinger equations with attractive inverse-power potential

Noriyoshi Fukaya

Communications on Pure & Applied Analysis, 20(1) 121-143, Jan, 2021 Peer-reviewed
Strong instability of standing waves for nonlinear Schrödinger equations with attractive inverse power potential

Fukaya, Noriyoshi, Ohta, Masahito

Osaka Journal of Mathematics, 56(4) 713-726, Oct, 2019 Peer-reviewed
Strong instability of standing waves with negative energy for double power nonlinear Schrödinger equations

Noriyoshi Fukaya, Masahito Ohta

SUT Journal of Mathematics, 54(2) 131-143, Dec 1, 2018 Peer-reviewed
Instability of solitary waves for a generalized derivative nonlinear Schrödinger equation in a borderline case

Noriyoshi Fukaya

Kodai Mathematical Journal, 40(3), Oct 1, 2017 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, 10(5) 1149-1167, Jul 1, 2017 Peer-reviewed

Misc.

Instability of solitary waves for a generalized derivative nonlinear Schrödinger equation in a borderline case

深谷法良

第38回発展方程式若手セミナー報告集, 209-214, Nov, 2016

Presentations

1次元における二重べき型非線形シュレディンガー方程式の定常解の不安定性

分散型方程式研究会, Mar 13, 2024 Invited
1次元における二重べき型非線形シュレディンガー方程式の定常解の不安定性

深谷法良

第814回応用解析研究会, Nov 18, 2023 Invited
On stability and instability of standing waves for 2d-nonlinear Schrödinger equations with point interaction

Noriyoshi Fukaya

ICIAM 2023, the 10th International Congress on Industrial and Applied Mathematics: Minisymposium [01229] Cauchy problem for Deterministic and Stochastic nonlinear dispaersive equations, Aug 25, 2023
1次元における二重べき型非線形シュレディンガー方程式の定常解の不安定性

深谷法良

RIMS共同研究グループ型A 線形及び非線形分散型方程式に関する近年の進展, May 16, 2023
1次元における二重べき型非線形シュレディンガー方程式の定常解の不安定性

深谷法良, 林雅行

日本数学会2023年度年会函数方程式論分科会, Mar 17, 2023
Traveling waves for a nonlinear Schrödinger system with quadratic interaction

深谷法良

第6回 PDE Workshop in Miyazaki, Jan 26, 2023
2重べき型非線形シュレディンガー方程式の定在波解の不安定性について

深谷法良

第34回非線形発展方程式セミナー＠KUE, Dec 13, 2022
On stability and instability of standing waves for 2d-nonlinear Schrödinger equations with point interaction

Noriyoshi Fukaya

Workshop on recent progress in standing waves for nonlinear Schrödinger equations, Nov 12, 2022
点相互作用を持つ2次元非線形シュレディンガー方程式の定在波解の安定性と不安定性

深谷法良

第3回大同大学若手微分方程式セミナー, Aug 23, 2022
点相互作用を持つ2次元非線形シュレディンガー方程式の定在波解の安定性と不安定性

深谷法良, Vladimir Georgiev, 池田正弘

日本数学会2022年度年会函数方程式論分科会, Mar 30, 2022
点相互作用を持つ2次元非線形シュレディンガー方程式の定在波解の安定性と不安定性

深谷法良

九州関数方程式セミナー, Nov 26, 2021
二つのべき乗型非線形項を持つシュレディンガー方程式の多項式減衰する定在波解の不安定性について

深谷法良

第１５１回熊本大学応用解析セミナー, May 8, 2021
二つのべき乗型非線形項を持つシュレディンガー方程式の多項式減衰する定在波解の不安定性について

深谷法良

Critical Exponent and Nonlinear Partial Differential Equations 2021, Feb 21, 2021
Instability of algebraic standing waves for nonlinear Schrödinger equations with double power nonlinearities

深谷法良, 林雅行

日本数学会2020年度年会函数方程式論分科会, Mar 18, 2020
Instability of algebraic standing waves for nonlinear Schrödinger equations with double power nonlinearities

深谷法良

Workshop on recent progress in nonlinear dispersive PDEs, Nov 25, 2019
Uniqueness and nondegeneracy of ground states for nonlinear Schrödinger equations with attractive inverse-power potential

深谷法良

日本数学会2019年度秋季総合分科会函数方程式論分科会, Sep 20, 2019
Uniqueness and nondegeneracy of ground states for nonlinear Schrödinger equations with attractive inverse-power potential

Noriyoshi Fukaya

12th International ISAAC Congress, Aug 2, 2019
Uniqueness and nondegeneracy of ground states for nonlinear Schrödinger equations with attractive inverse-power potential

Noriyoshi Fukaya

RIMS共同研究（公開型）調和解析と非線形偏微分方程式, Jul 2, 2019
Uniqueness of ground states for nonlinear Schrödinger equations with attractive inverse power potential

Noriyoshi Fukaya

Seminars, Mar 12, 2019
Uniqueness of ground states for nonlinear Schrödinger equations with attractive inverse power potential

深谷法良

第160回神楽坂解析セミナー, Feb 23, 2019

Teaching Experience

Sep, 2019 - Jan, 2024

Mathematics 1 Lectures and Exercises (Tokyo University of Science)
Sep, 2019 - Jan, 2024

Theory of Differential Equations Exercise (Tokyo University of Science)
Apr, 2023 - Aug, 2023

Integration Theory (Tokyo University of Science)
Apr, 2019 - Aug, 2023

Mathematics 2 Lectures and Exercises (Tokyo University of Science)
Apr, 2019 - Aug, 2023

Topology 1 Exercise (Tokyo University of Science)
Sep, 2019 - Jan, 2023

Introduction to Computers 2 (Tokyo University of Science)
Apr, 2019 - Aug, 2019

Foundation of Analysis (Tokyo University of Science)

Professional Memberships

Oct, 2016 - Present

日本数学会

Research Projects

Classification of stability and instability of solitary waves for nonlinear Schroedinger equations

Grants-in-Aid for Scientific Research, Grant-in-Aid for Early-Career Scientists, Japan Society for the Promotion of Science, Apr, 2020 - Mar, 2024
Stability of two parameter family of solitary waves for nonlinear dispersive equations

Grants-in-Aid for Scientific Research, Grant-in-Aid for JSPS Fellows, Japan Society for the Promotion of Science, Apr, 2018 - Mar, 2020

Academic Activities

神楽坂解析セミナー

Planning, management, etc.

Apr, 2019 - Feb, 2024

Profile Information

Research Interests

Research Areas

Research History

Education

Papers

Misc.

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