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Fukaya Noriyoshi  深谷 法良

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深谷 法良  フカヤ ノリヨシ

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Researcher Number 30849831
Other IDs
Affiliation (Current) 2025: 早稲田大学, 理工学術院, 次席研究員(研究院講師)
Affiliation (based on the past Project Information) *help 2020 – 2023: 東京理科大学, 理学部第一部数学科, 助教
Review Section/Research Field
Principal Investigator
Basic Section 12020:Mathematical analysis-related
Keywords
Principal Investigator
微分形非線形シュレディンガー方程式 / 安定性 / 定在波解 / 時間大域解 / 進行波解 / 孤立波解 / 非線形シュレディンガー方程式系 / 一意性 / 基底状態 / 点相互作用 / 不安定性 / 定常解 / 非線形シュレディンガー方程式
  • Research Projects

    (1 results)
  • Research Products

    (19 results)
  • Co-Researchers

    (1 People)
  •  Classification of stability and instability of solitary waves for nonlinear Schroedinger equationsPrincipal Investigator

    • Principal Investigator
      深谷 法良
    • Project Period (FY)
      2020 – 2024
    • Research Category
      Grant-in-Aid for Early-Career Scientists
    • Review Section
      Basic Section 12020:Mathematical analysis-related
    • Research Institution
      Tokyo University of Science

All 2024 2023 2022 2021

All Journal Article Presentation

  • [Journal Article] On stability and instability of standing waves for 2d-nonlinear Schr\"odinger equations with point interaction2022

    • Author(s)
      Fukaya Noriyoshi、Georgiev Vladimir、Ikeda Masahiro
    • Journal Title

      Journal of Differential Equations

      Volume: 321 Pages: 258-295

    • DOI

      10.1016/j.jde.2022.03.008

    • Peer Reviewed / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-19K14581, KAKENHI-PROJECT-20K14349
  • [Journal Article] Traveling waves for a nonlinear Schroedinger system with quadratic interaction2022

    • Author(s)
      Fukaya Noriyoshi、Hayashi Masayuki、Inui Takahisa
    • Journal Title

      Mathematische Annalen

      Volume: - Issue: 2 Pages: 1357-1378

    • DOI

      10.1007/s00208-022-02555-w

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-20K14349, KAKENHI-PROJECT-22K20337
  • [Journal Article] Instability of degenerate solitons for nonlinear Schroedinger equations with derivative2022

    • Author(s)
      Noriyoshi Fukaya, Masayuki Hayashi
    • Journal Title

      NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS

      Volume: 222 Pages: 1-25

    • DOI

      10.1016/j.na.2022.112954

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-20K14349, KAKENHI-PROJECT-22K20337
  • [Journal Article] Stability of standing waves for L^2-critical nonlinear Schroedinger equations with attractive inverse-power potential2021

    • Author(s)
      Noriyoshi Fukaya
    • Journal Title

      RIMS Kôkyûroku Bessatsu

      Volume: B88

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-20K14349
  • [Journal Article] Instability of algebraic standing waves for nonlinear Schroedinger equations with double power nonlinearities2021

    • Author(s)
      Fukaya Noriyoshi, Hayashi Masayuki
    • Journal Title

      Transactions of the American Mathematical Society

      Volume: 374 Issue: 2 Pages: 1421-1447

    • DOI

      10.1090/tran/8269

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-20K14349, KAKENHI-PROJECT-19J01504
  • [Journal Article] Uniqueness and nondegeneracy of ground states for nonlinear Schroedinger equations with attractive inverse-power potential2021

    • Author(s)
      Fukaya Noriyoshi
    • Journal Title

      Communications on Pure & Applied Analysis

      Volume: 20 Issue: 1 Pages: 121-143

    • DOI

      10.3934/cpaa.2020260

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-20K14349
  • [Presentation] 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2024

    • Author(s)
      深谷 法良
    • Organizer
      分散型方程式研究会
    • Invited
    • Data Source
      KAKENHI-PROJECT-20K14349
  • [Presentation] 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2023

    • Author(s)
      深谷 法良
    • Organizer
      第814回応用解析研究会
    • Invited
    • Data Source
      KAKENHI-PROJECT-20K14349
  • [Presentation] 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2023

    • Author(s)
      深谷 法良
    • Organizer
      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
    • Invited
    • Data Source
      KAKENHI-PROJECT-20K14349
  • [Presentation] Traveling waves for a nonlinear Schroedinger system with quadratic interaction2023

    • Author(s)
      深谷 法良
    • Organizer
      第6回 PDE Workshop in Miyazaki
    • Invited
    • Data Source
      KAKENHI-PROJECT-20K14349
  • [Presentation] 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2023

    • Author(s)
      深谷 法良, 林 雅行
    • Organizer
      日本数学会2023年度年会函数方程式論分科会
    • Data Source
      KAKENHI-PROJECT-20K14349
  • [Presentation] On stability and instability of standing waves for 2d-nonlinear Schroedinger equations with point interaction2023

    • Author(s)
      Noriyoshi Fukaya
    • Organizer
      ICIAM 2023, the 10th International Congress on Industrial and Applied Mathematics: Minisymposium [01229] Cauchy problem for Deterministic and Stochastic nonlinear dispaersive equations
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-20K14349
  • [Presentation] 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2022

    • Author(s)
      深谷 法良
    • Organizer
      第34回非線形発展方程式セミナー@KUE
    • Invited
    • Data Source
      KAKENHI-PROJECT-20K14349
  • [Presentation] 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2022

    • Author(s)
      深谷 法良
    • Organizer
      第3回大同大学若手微分方程式セミナー
    • Invited
    • Data Source
      KAKENHI-PROJECT-20K14349
  • [Presentation] On stability and instability of standing waves for 2d-nonlinear Schroedinger equations with point interaction2022

    • Author(s)
      Noriyoshi Fukaya
    • Organizer
      Workshop on recent progress in standing waves for nonlinear Schroedinger equations
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-20K14349
  • [Presentation] 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2022

    • Author(s)
      深谷 法良, Vladimir Georgiev, 池田 正弘
    • Organizer
      日本数学会2022年度年会函数方程式論分科会
    • Data Source
      KAKENHI-PROJECT-20K14349
  • [Presentation] 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2021

    • Author(s)
      深谷 法良
    • Organizer
      第151回熊本大学応用解析セミナー
    • Invited
    • Data Source
      KAKENHI-PROJECT-20K14349
  • [Presentation] 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2021

    • Author(s)
      深谷 法良
    • Organizer
      Critical Exponent and Nonlinear Partial Differential Equations 2021
    • Invited
    • Data Source
      KAKENHI-PROJECT-20K14349
  • [Presentation] 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2021

    • Author(s)
      深谷法良
    • Organizer
      九州関数方程式セミナー
    • Invited
    • Data Source
      KAKENHI-PROJECT-20K14349
  • 1.  池田 正弘
    # of Collaborated Projects: 0 results
    # of Collaborated Products: 1 results

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