Updated on 2024/12/15

写真a

 
FUKAYA, Noriyoshi
 
Affiliation
Faculty of Science and Engineering, Waseda Research Institute for Science and Engineering
Job title
Junior Researcher(Assistant Professor)
Degree
博士（理学） ( 2019.03 東京理科大学 )
Mail Address
メールアドレス

Research Experience

  • 2024.05
    -
    Now

    Waseda University   Research Institute for Science and Engineering   Junior Researcher (Assistant Professor)

  • 2024.05
    -
    Now

    Tsuda University   Institute for Mathematics and Computer Science   Visiting Researcher

  • 2024.04
    -
    Now

    Tsuda University   College of Liberal Arts

  • 2024.04
    -
    Now

    Osaka Metropolitan University   Osaka Central Advanced Mathematical li nstitute   Special Researcher

  • 2024.06
    -
    2024.09

    Tokyo Institute of Technology

  • 2024.04
    　
    　

    Tsuda University   Institute for Mathematics and Computer Science   Project Researcher

  • 2020.04
    -
    2024.03

    Tokyo University of Science   Research Institute for Science and Technology

  • 2019.04
    -
    2024.03

    Tokyo University of Science   Faculty of Science, Division 1 Mathematics

  • 2018.04
    -
    2019.03

    Tokyo University of Science   Graduate School of Science

▼display all

Education Background

  • 2016.04
    -
    2019.03

    Tokyo University of Science   Graduate School of Science   Department of Mathematics  

  • 2014.04
    -
    2016.03

    Tokyo University of Science   Graduate School of Science   Department of Mathematics  

  • 2010.04
    -
    2014.03

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

  • 　
    -
    2014

    Tokyo University of Science   Faculty of Science   Department of Mathematics  

Professional Memberships

  • 2016.10
    -
    Now

    日本数学会

Research Areas

  • Mathematical analysis   偏微分方程式論

Research Interests

  • Nonlinear Partial Differential Equations

 

Papers

  • Traveling waves for a nonlinear Schrödinger system with quadratic interaction

    Noriyoshi Fukaya, Masayuki Hayashi, Takahisa Inui

    Mathematische Annalen   388 ( 2 ) 1357 - 1378  2024.02  [Refereed]

    DOI

    Scopus

    3
    Citation
    (Scopus)

  • Instability of degenerate solitons for nonlinear Schrödinger equations with derivative

    Noriyoshi Fukaya, Masayuki Hayashi

    Nonlinear Analysis   222   112954 - 112954  2022.09  [Refereed]

    DOI

    Scopus

    2
    Citation
    (Scopus)

  • 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  2022.06  [Refereed]

    　View Summary

    We study existence and stability properties of ground-state standing waves for two-dimensional nonlinear Schrödinger equation with a point interaction and a focusing power nonlinearity. The Schrödinger operator with a point interaction (−Δα)α∈R describes a one-parameter family of self-adjoint realizations of the Laplacian with delta-like perturbation. The operator −Δα always has a unique simple negative eigenvalue eα. We prove that if the frequency of the standing wave is close to −eα, it is stable. Moreover, if the frequency is sufficiently large, we have the stability in the L2-subcritical or critical case, while the instability in the L2-supercritical case.

    DOI

    Scopus

    138
    Citation
    (Scopus)

  • 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  2021.12  [Refereed]

  • 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  2021.02  [Refereed]

    DOI

    Scopus

    16
    Citation
    (Scopus)

  • 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  2021.01  [Refereed]

    DOI

    Scopus

    5
    Citation
    (Scopus)

  • Strong instability of standing waves for nonlinear Schrödinger equations with attractive inverse power potential

    Noriyoshi Fukaya, Masahito Ohta

    Osaka Journal of Mathematics   56 ( 4 ) 713 - 726  2019.10  [Refereed]

  • 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  2018.12  [Refereed]

    DOI

    Scopus

    12
    Citation
    (Scopus)

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

    Noriyoshi Fukaya

    Kodai Mathematical Journal   40 ( 3 )  2017.10  [Refereed]

    DOI

    Scopus

    8
    Citation
    (Scopus)

  • 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  2017.07  [Refereed]

    DOI

    Scopus

    24
    Citation
    (Scopus)

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Presentations

  • Uniqueness of ground states for 2d-nonlinear Schrödinger equations with point interaction

    Noriyoshi Fukaya  [Invited]

    The 49th Sapporo Symposium on Partial Differential Equations  (Hokkaido University) 

    Presentation date： 2024.08

    Event date：
    2024.08
    　
    　

  • Stability of standing waves for all frequencies to nonlinear Schrödinger equations with potentials

    Noriyoshi Fukaya  [Invited]

    International Workshop on “Fundamental Problems in Mathematical and Theoretical Physics” 

    Presentation date： 2024.07

    Event date：
    2024.07
    　
    　

  • Uniqueness of ground states for 2d-nonlinear Schrödinger equations with point interaction

    Noriyoshi Fukaya  [Invited]

    Future Perspectives on Linear and Nonlinear Modelling of Contact-Type Perturbations  (Istituto Nazionale di Alta Matematica Francesco Severi (INdAM)) 

    Presentation date： 2024.07

    Event date：
    2024.07
    　
    　

  • 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  [Invited]

    分散型方程式研究会  (東京理科大学 神楽坂キャンパス) 

    Presentation date： 2024.03

  • 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  [Invited]

    第814回応用解析研究会 

    Presentation date： 2023.11

  • On stability and instability of standing waves for 2d-nonlinear Schrödinger equations with point interaction

    Noriyoshi Fukaya  [Invited]

    ICIAM 2023, the 10th International Congress on Industrial and Applied Mathematics: Minisymposium [01229] Cauchy problem for Deterministic and Stochastic nonlinear dispaersive equations  (新宿区・早稲田大学 早稲田キャンパス) 

    Presentation date： 2023.08

  • 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  (京都市・京都大学数理解析研究所) 

    Presentation date： 2023.05

  • 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  (文京区・中央大学) 

    Presentation date： 2023.03

  • Traveling waves for a nonlinear Schrödinger system with quadratic interaction

    深谷 法良

    第6回 PDE Workshop in Miyazaki  (宮崎市・宮崎大学) 

    Presentation date： 2023.01

  • 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  (京都市・京都教育大学) 

    Presentation date： 2022.12

  • 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  (京都市・京都産業大学) 

    Presentation date： 2022.11

  • 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  (名古屋市・大同大学滝春キャンパス) 

    Presentation date： 2022.08

  • 非線形シュレディンガー方程式の定在波解の線形不安定性と軌道不安定性

    深谷 法良

    分散型方程式オンライン研究会 第7回目 

    Presentation date： 2022.02

    Event date：
    2022.04
    -
    　

  • 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  (埼玉大学・さいたま市) 

    Presentation date： 2022.03

  • 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  (オンライン) 

    Presentation date： 2021.11

  • 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  (オンライン) 

    Presentation date： 2021.05

  • 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  (オンライン（ZOOM）で開催) 

    Presentation date： 2021.02

  • 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  (日本大学理工学部) 

    Presentation date： 2020.03

  • Instability of algebraic standing waves for nonlinear Schrödinger equations with double power nonlinearities

    深谷 法良  [Invited]

    Workshop on recent progress in nonlinear dispersive PDEs  (京都市・京都産業大学) 

    Presentation date： 2019.11

  • 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  (金沢市・金沢大学) 

    Presentation date： 2019.09

  • Uniqueness and nondegeneracy of ground states for nonlinear Schrödinger equations with attractive inverse-power potential

    Noriyoshi Fukaya

    12th International ISAAC Congress  (アベイロ（ポルトガル）・University of Aveiro) 

    Presentation date： 2019.08

  • 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  (京都市・京都大学 数理解析研究所) 

    Presentation date： 2019.07

  • Uniqueness of ground states for nonlinear Schrödinger equations with attractive inverse power potential

    Noriyoshi Fukaya

    Seminars  (天津（中国）・Tianjin University) 

    Presentation date： 2019.03

  • 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  (新宿・東京理科大学・) 

    Presentation date： 2019.02

  • Strong instability of standing waves for nonlinear Schrödinger equations with attractive inverse power potential

    深谷 法良

    若手研究者による実解析と偏微分方程式 2018  (豊中・大阪大学) 

    Presentation date： 2018.12

  • Strong instability of standing waves for nonlinear Schr\"odinger equations with attractive inverse power potential

    深谷 法良, 太田雅人

    日本数学会2018年度秋季総合分科会函数方程式論分科会  (岡山・岡山大学) 

    Presentation date： 2018.09

  • Strong instability of standing waves for nonlinear Schrödinger equations with some attractive potential

    Noriyoshi Fukaya

    Workshop Dispersive properties of Schrödinger and wave equations with perturbation  (ピサ（イタリア）・University of Pisa) 

    Presentation date： 2018.09

  • Strong instability of standing waves for nonlinear Schrödinger equations with an attractive inverse power potential

    Noriyoshi Fukaya

    The 12th AIMS Conference on Dynamical Systems, Differential Equations and Applications  (台北（台湾）・National Taiwan University) 

    Presentation date： 2018.07

  • A sufficient condition for global existence of solutions to a generalized derivative nonlinear Schr\"odinger equation

    深谷 法良

    2017年度第4回神戸大学解析セミナー  (神戸・神戸大学) 

    Presentation date： 2017.06

  • Instability of solitary waves for a nonlinear dispersive equation

    深谷 法良

    Workshop on linear and nonlinear dispersive equations and related topics  (京都・関西セミナーハウス) 

    Presentation date： 2017.05

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

    Noriyoshi Fukaya

    The Tenth IMACS International Conference on Nonlinear Evolution Equations and Wave Phenomena: Computation and Theory  (アセンズ（アメリカ）・University of Georgia) 

    Presentation date： 2017.03

  • Global well-posedness for a generalized derivative nonlinear Schrödinger equation

    林 雅行, 戍亥 隆恭, 深谷 法良

    日本数学会2017年度年会函数方程式論分科会  (八王子・首都大学東京) 

    Presentation date： 2017.03

  • Global well-posedness on a generalized derivative nonlinear Schr\"odinger equation

    深谷 法良, 林 雅行, 戍亥 隆恭

    第42回発展方程式研究会  (文京・日本女子大学) 

    Presentation date： 2016.12

  • Global well-posedness on a generalized derivative nonlinear Schrödinger equation

    深谷法良

    若手研究者による実解析と偏微分方程式 2016  (大阪・大阪市立大学) 

    Presentation date： 2016.12

  • Global well-posedness on a generalized derivative nonlinear Schr\"odinger equation

    深谷 法良

    第3回神楽坂非線形波動研究会  (新宿・東京理科大学) 

    Presentation date： 2016.12

  • Instability of solitary waves for a generalized derivative nonlinear Schr\"odinger equation in a borderline case

    深谷 法良

    第77回埼玉大学解析ゼミ  (さいたま・埼玉大学) 

    Presentation date： 2016.11

  • Instability of solitary waves for a generalized derivative nonlinear Schr\"odinger equation in a borderline case

    深谷 法良

    日本数学会2016年度秋季総合分科会函数方程式論分科会  (吹田・関西大学) 

    Presentation date： 2016.09

  • Instability of solitary waves for a generalized derivative nonlinear Schr\"odinger equation in a borderline case

    深谷 法良

    第38回発展方程式若手セミナー  (京都・あうる京北（京都府立ゼミナールハウス）) 

    Presentation date： 2016.08

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

    Noriyoshi Fukaya

    Mathematical Analysis for Stability in Nonlinear Dynamics -in honor of Professor Vladimir Georgiev on his 60th birthday‐  (札幌・北海道大学) 

    Presentation date： 2016.08

  • Orbital instability of two-parameter family of bound states for Hamiltonian systems

    深谷 法良

    第139回神楽坂解析セミナー  (新宿・東京理科大学) 

    Presentation date： 2016.02

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Research Projects

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

    Japan Society for the Promotion of Science  Grants-in-Aid for Scientific Research

    Project Year :

    2020.04
    -
    2024.03
     

  • Stability of two parameter family of solitary waves for nonlinear dispersive equations

    Japan Society for the Promotion of Science  Grants-in-Aid for Scientific Research

    Project Year :

    2018.04
    -
    2020.03
     

Misc

  • Instability of solitary waves for a generalized derivative nonlinear Schr\"odinger 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  2016.11

 

Teaching Experience

  • Seminar III

    Tsuda University  

    2024.04
    -
    Now
     

  • Calculus I / Recitation J

    Tokyo Institute of Technology  

    2024.06
    -
    2024.09
     

  • Mathematics 1 Lectures and Exercises

    Tokyo University of Science  

    2019.09
    -
    2024.01
     

  • Theory of Differential Equations Exercise

    Tokyo University of Science  

    2019.09
    -
    2024.01
     

  • Integration Theory

    Tokyo University of Science  

    2023.04
    -
    2023.08
     

  • Mathematics 2 Lectures and Exercises

    Tokyo University of Science  

    2019.04
    -
    2023.08
     

  • Topology 1 Exercise

    Tokyo University of Science  

    2019.04
    -
    2023.08
     

  • Introduction to Computers 2

    Tokyo University of Science  

    2019.09
    -
    2023.01
     

  • Foundation of Analysis

    Tokyo University of Science  

    2019.04
    -
    2019.08
     

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Academic Activities

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