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INUI Takahisa  戍亥 隆恭

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Inui Takahisa  戍亥 隆恭

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Researcher Number 70814648
Other IDs
Affiliation (Current) 2025: 大阪大学, 大学院理学研究科, 准教授
Affiliation (based on the past Project Information) *help 2022 – 2024: 大阪大学, 大学院理学研究科, 准教授
2020 – 2021: 大阪大学, 理学研究科, 准教授
2018 – 2019: 大阪大学, 理学研究科, 助教
Review Section/Research Field
Principal Investigator
Basic Section 12020:Mathematical analysis-related
Except Principal Investigator
Medium-sized Section 12:Analysis, applied mathematics, and related fields
Keywords
Principal Investigator
ポテンシャル / 非線形分散型波動方程式 / 熱方程式 / Strichartz評価 / スケール不変 / ストリッカーツ評価 / 非時間遅れ極限 / 非線形消散型波動方程式 / 超相対論的極限 / 非相対論的極限 … More / 大域ダイナミクス / 減衰 / 大域挙動 / 消散型波動方程式 … More
Except Principal Investigator
ゆらぎ・ノイズ / 熱的効果 / 確率偏微分方程式 / ホワイトノイズ / ゆらき・ノイズ / ボース・アインシュタイン凝縮 / 量子渦 / 相転移 / ノイズ / ソリトン解 / 非線形シュレディンガー方程式 / 量子流体 Less
  • Research Projects

    (3 results)
  • Research Products

    (48 results)
  • Co-Researchers

    (8 People)
  •  ポテンシャル項を持つ非線形分散型波動方程式の大域ダイナミクスPrincipal Investigator

    • Principal Investigator
      戍亥 隆恭
    • Project Period (FY)
      2024 – 2027
    • Research Category
      Grant-in-Aid for Early-Career Scientists
    • Review Section
      Basic Section 12020:Mathematical analysis-related
    • Research Institution
      Osaka University
  •  量子流体力学に現れる確率偏微分方程式の研究

    • Principal Investigator
      福泉 麗佳
    • Project Period (FY)
      2019 – 2024
    • Research Category
      Fund for the Promotion of Joint International Research (Fostering Joint International Research (B))
    • Review Section
      Medium-sized Section 12:Analysis, applied mathematics, and related fields
    • Research Institution
      Waseda University
      Tohoku University
  •  Global dynamics for nonlinear damped wave equationsPrincipal Investigator

    • Principal Investigator
      Inui Takahisa
    • Project Period (FY)
      2018 – 2023
    • Research Category
      Grant-in-Aid for Early-Career Scientists
    • Review Section
      Basic Section 12020:Mathematical analysis-related
    • Research Institution
      Osaka University

All 2024 2023 2022 2021 2020 2019 2018

All Journal Article Presentation

  • [Journal Article] Global dynamics below a threshold for the nonlinear Schrodinger equations with the Kirchhoff boundary and the repulsive Dirac delta boundary on a star graph2024

    • Author(s)
      Hamano Masaru、Ikeda Masahiro、Inui Takahisa、Shimizu Ikkei
    • Journal Title

      Partial Differential Equations and Applications

      Volume: 5 Issue: 1

    • DOI

      10.1007/s42985-024-00274-2

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-22KJ2907, KAKENHI-PROJECT-23K03174, KAKENHI-PROJECT-18K13444
  • [Journal Article] Blow-up or Grow-up for the threshold solutions to the nonlinear Schr?dinger equation2023

    • Author(s)
      Gustafson Stephen、Inui Takahisa
    • Journal Title

      Dynamics of Partial Differential Equations

      Volume: 20 Issue: 3 Pages: 213-225

    • DOI

      10.4310/dpde.2023.v20.n3.a3

    • Peer Reviewed / Open Access / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-19KK0066, KAKENHI-PROJECT-18K13444
  • [Journal Article] Non relativistic and ultra relativistic limits in 2D stochastic nonlinear damped Klein?Gordon equation2022

    • Author(s)
      Fukuizumi Reika、Hoshino Masato、Inui Takahisa
    • Journal Title

      Nonlinearity

      Volume: 35 Issue: 6 Pages: 2878-2919

    • DOI

      10.1088/1361-6544/ac64e0

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18K13444, KAKENHI-PROJECT-19KK0066, KAKENHI-PROJECT-19K14556, KAKENHI-PROJECT-18H01126, KAKENHI-PROJECT-23K20216
  • [Journal Article] Non relativistic and ultra relativistic limits in 2d stochastic nonlinear damped Klein-Gordon equation2022

    • Author(s)
      Fukuizumi Reika、Hoshino Masato、Inui Takahisa
    • Journal Title

      Nonlinearity

      Volume: -

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19KK0066
  • [Journal Article] Asymptotic behavior for the long-range nonlinear Schr?dinger equation on the star graph with the Kirchhoff boundary condition2022

    • Author(s)
      Aoki Kazuki、Inui Takahisa、Miyazaki Hayato、Mizutani Haruya、Uriya Kota
    • Journal Title

      Pure and Applied Analysis

      Volume: 4 Issue: 2 Pages: 287-311

    • DOI

      10.2140/paa.2022.4.287

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-21K03325, KAKENHI-PROJECT-18K13444, KAKENHI-PROJECT-19KK0066, KAKENHI-PROJECT-19K14578, KAKENHI-PROJECT-19K14580
  • [Journal Article] Threshold odd solutions to the nonlinear Schrodinger equation in one dimension2022

    • Author(s)
      Gustafson Stephen、Inui Takahisa
    • Journal Title

      Partial Differential Equations and Applications

      Volume: 3 Issue: 4 Pages: 46-46

    • DOI

      10.1007/s42985-022-00183-2

    • Peer Reviewed / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-18K13444, KAKENHI-PROJECT-19KK0066
  • [Journal Article] Non-delay limit in the energy space from the nonlinear damped wave equation to the nonlinear heat equation2022

    • Author(s)
      Inui Takahisa、Machihara Shuji
    • Journal Title

      Journal of Hyperbolic Differential Equations

      Volume: 19 Issue: 03 Pages: 407-437

    • DOI

      10.1142/s0219891622500126

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18K13444, KAKENHI-PROJECT-19KK0066, KAKENHI-PROJECT-19H00644
  • [Journal Article] Threshold scattering for the focusing NLS with a repulsive Dirac delta potential2022

    • Author(s)
      Alex H. Ardila, Takahisa Inui
    • Journal Title

      Journal of Differential Equations

      Volume: 313 Pages: 54-84

    • DOI

      10.1016/j.jde.2021.12.030

    • Peer Reviewed / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-18K13444, KAKENHI-PROJECT-19KK0066
  • [Journal Article] Remarks on asymptotic order for the linear wave equation with the scale-invariant damping and mass with Lr-data2021

    • Author(s)
      Takahisa Inui, Haruya Mizutani
    • Journal Title

      PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY

      Volume: 149 Issue: 8 Pages: 3473-3484

    • DOI

      10.1090/proc/15481

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-17K14218, KAKENHI-PROJECT-18K13444, KAKENHI-PROJECT-19KK0066
  • [Journal Article] Scattering and asymptotic order for the wave equations with the scale-invariant damping and mass2021

    • Author(s)
      Inui Takahisa、Mizutani Haruya
    • Journal Title

      Nonlinear Differential Equations and Applications NoDEA

      Volume: 28 Issue: 1 Pages: 8-8

    • DOI

      10.1007/s00030-020-00671-7

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18K13444, KAKENHI-PROJECT-19KK0066, KAKENHI-PROJECT-17H02854
  • [Journal Article] Unconditional well-posedness for the energy-critical nonlinear damped wave equation2021

    • Author(s)
      Inui Takahisa、Wakasugi Yuta
    • Journal Title

      Journal of Evolution Equations

      Volume: 21 Issue: 4 Pages: 5171-5201

    • DOI

      10.1007/s00028-021-00744-9

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-16K17625, KAKENHI-PROJECT-18K13444, KAKENHI-PROJECT-20K14346, KAKENHI-PROJECT-19KK0066
  • [Journal Article] Scattering for the Quadratic Nonlinear Schrödinger System in <b><i>R</i></b><sup>5</sup> without Mass-Resonance Condition2021

    • Author(s)
      Masaru Hamano, Takahisa Inui, Kuranosuke Nishimura
    • Journal Title

      FE

      Volume: 64 Issue: 3 Pages: 261-291

    • DOI

      10.1619/fesi.64.261

    • NAID

      130008131798

    • ISSN
      0532-8721
    • Year and Date
      2021-12-15
    • Language
      English
    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18K13444, KAKENHI-PROJECT-19KK0066
  • [Journal Article] Remark on Asymptotic Order for the Energy Critical Nonlinear Damped Wave Equation to the Linear Heat Equation via the Strichartz Estimates2020

    • Author(s)
      Inui Takahisa
    • Journal Title

      Advances in Harmonic Analysis and Partial Differential Equations, Trends in Mathematics

      Volume: 1 Pages: 253-262

    • DOI

      10.1007/978-3-030-58215-9_10

    • ISBN
      9783030582142, 9783030582159
    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18K13444, KAKENHI-PROJECT-19KK0066
  • [Journal Article] Blow-up of the radially symmetric solutions for the quadratic nonlinear Schrodinger system without mass-resonance2020

    • Author(s)
      Takahisa Inui, Nobu Kishimoto, Kuranosuke Nishimura
    • Journal Title

      Nonlinear Analysis. Theory, Methods & Applications

      Volume: 198 Pages: 111895-111895

    • DOI

      10.1016/j.na.2020.111895

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-16K17626, KAKENHI-PROJECT-19KK0066
  • [Journal Article] Scattering for the one-dimensional Klein-Gordon equation with exponential nonlinearity2020

    • Author(s)
      Ikeda Masahiro、Inui Takahisa、Okamoto Mamoru
    • Journal Title

      Journal of Hyperbolic Differential Equations

      Volume: 17 Issue: 02 Pages: 295-354

    • DOI

      10.1142/s0219891620500083

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19KK0066
  • [Journal Article] Asymptotic behavior of the energy critical nonlinear wave equation with a special scale invariant damping2020

    • Author(s)
      Inui Takahisa
    • Journal Title

      The Role of Metrics in the Theory of Partial Differential Equations, Advanced Studies in Pure Mathematics

      Volume: 85 Pages: 171-180

    • DOI

      10.2969/aspm/08510171

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18K13444, KAKENHI-PROJECT-19KK0066
  • [Journal Article] Failure of scattering to standing waves for a Schr?dinger equation with long-range nonlinearity on star graph2020

    • Author(s)
      Aoki Kazuki、Inui Takahisa、Mizutani Haruya
    • Journal Title

      Journal of Evolution Equations

      Volume: 21 Issue: 1 Pages: 297-312

    • DOI

      10.1007/s00028-020-00579-w

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-17K14218, KAKENHI-PROJECT-19KK0066, KAKENHI-PROJECT-17H02854
  • [Journal Article] The Strichartz estimates for the damped wave equation and the behavior of solutions for the energy critical nonlinear equation2019

    • Author(s)
      Takahisa Inui
    • Journal Title

      Nonlinear Differential Equations and Applications NoDEA

      Volume: 26 Issue: 6

    • DOI

      10.1007/s00030-019-0598-y

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18K13444, KAKENHI-PROJECT-19KK0066
  • [Journal Article] Scattering for a mass critical NLS system below the ground state with and without mass-resonance condition2019

    • Author(s)
      Takahisa Inui, Nobu Kishimoto, Kuranosuke Nishimura
    • Journal Title

      Discrete & Continuous Dynamical Systems - A

      Volume: 39 Issue: 11 Pages: 6299-6353

    • DOI

      10.3934/dcds.2019275

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-16K17626, KAKENHI-PROJECT-18K13444
  • [Journal Article] L^p-L^q estimates for the damped wave equation and the critical exponent for the nonlinear problem with slowly decaying data2019

    • Author(s)
      Ikeda Masahiro, Inui Takahisa, Okamoto Mamoru, Wakasugi Yuta
    • Journal Title

      Communications on Pure & Applied Analysis

      Volume: 18 Issue: 4 Pages: 1967-2008

    • DOI

      10.3934/cpaa.2019090

    • Peer Reviewed / Open Access
    • Data Source
      KAKENHI-PROJECT-16K17624, KAKENHI-PROJECT-16K17625, KAKENHI-PROJECT-18H01132, KAKENHI-PROJECT-18K13444
  • [Presentation] Threshold even solutions to the nonlinear Schr\"{o}dinger equation with a repulsive delta potential2023

    • Author(s)
      戍亥隆恭
    • Organizer
      One-day workshop on nonlinear dispersive equation
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-18K13444
  • [Presentation] Global dynamics for threshold even solutions to the nonlinear Schr\"{o}dinger equation with repulsive delta potential2023

    • Author(s)
      戍亥隆恭
    • Organizer
      New trends in nonlinear partial differential equations
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-18K13444
  • [Presentation] デルタポテンシャル付き非線形シュレディンガー方程式の対称解の閾値における大域ダイナミクス2023

    • Author(s)
      戍亥隆恭
    • Organizer
      大阪大学 微分方程式セミナー
    • Data Source
      KAKENHI-PROJECT-18K13444
  • [Presentation] デルタポテンシャル付き非線形シュレディンガー方程式の閾値における大域ダイナミクス2023

    • Author(s)
      戍亥隆恭
    • Organizer
      第189回神楽坂解析セミナー
    • Data Source
      KAKENHI-PROJECT-18K13444
  • [Presentation] Global dynamics for threshold even solutions to the nonlinear Schroedinger equation with repulsive delta potential2023

    • Author(s)
      戍亥隆恭
    • Organizer
      New trends in nonlinear partial differential equations
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-19KK0066
  • [Presentation] Traveling waves for a nonlinear Schrodinger system with quadratic interaction2022

    • Author(s)
      林雅行、戍亥隆恭、深谷法良
    • Organizer
      日本数学会 2022 年度秋季総合分科会
    • Data Source
      KAKENHI-PROJECT-18K13444
  • [Presentation] デルタポテンシャル付き非線形シュレディンガー方程式の閾値解の大域ダイナミクスに ついて2022

    • Author(s)
      戍亥隆恭
    • Organizer
      第 10 回 弘前非線形方程式研究会
    • Invited
    • Data Source
      KAKENHI-PROJECT-18K13444
  • [Presentation] デルタポテンシャル付き非線形シュレディンガー方程式の閾値解の大域ダイナミクスについて2022

    • Author(s)
      戍亥隆恭
    • Organizer
      第10回弘前非線形方程式研究会
    • Invited
    • Data Source
      KAKENHI-PROJECT-19KK0066
  • [Presentation] 1 次元空間上の非線形シュレディンガー方程式に対する,閾値における奇関数解の時間 挙動について2022

    • Author(s)
      戍亥隆恭
    • Organizer
      NLPDEセミナー
    • Invited
    • Data Source
      KAKENHI-PROJECT-18K13444
  • [Presentation] Traveling waves for a nonlinear Schrodinger system with quadratic interaction2022

    • Author(s)
      林雅行, 戍亥隆恭, 深谷法良
    • Organizer
      日本数学会 2022 年度秋季総合分科会
    • Data Source
      KAKENHI-PROJECT-19KK0066
  • [Presentation] Scattering and asymptotic order for the wave equations with the time-dependent scale-invariant damping2021

    • Author(s)
      戍亥隆恭
    • Organizer
      Differential Geometry, Mathematical Physics and PDE (DGMPPDE) seminar
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-19KK0066
  • [Presentation] Non-delay limit in the energy space from the nonlinear damped wave equation to the nonlinear heat equation2021

    • Author(s)
      戍亥隆恭
    • Organizer
      線形および非線形分散型方程式の研究の進展
    • Invited
    • Data Source
      KAKENHI-PROJECT-19KK0066
  • [Presentation] スケール不変な消散項を持つ波動方程式の解の散乱オーダー2021

    • Author(s)
      戍亥隆恭
    • Organizer
      第172回神楽坂解析セミナー
    • Invited
    • Data Source
      KAKENHI-PROJECT-18K13444
  • [Presentation] Non-delay limit in the energy space from the nonlinear damped wave equation to the nonlinear heat equation2021

    • Author(s)
      戍亥隆恭
    • Organizer
      線形および非線形分散型方程式の研究の進展
    • Invited
    • Data Source
      KAKENHI-PROJECT-18K13444
  • [Presentation] スケール不変な消散項を持つ波動方程式の解の散乱オーダー2021

    • Author(s)
      戍亥隆恭
    • Organizer
      第172回神楽坂解析セミナー
    • Invited
    • Data Source
      KAKENHI-PROJECT-19KK0066
  • [Presentation] Scattering and asymptotic order for the wave equations with the time-dependent scale-invariant damping2021

    • Author(s)
      Takahisa Inui
    • Organizer
      Differential Geometry, Mathematical Physics and PDE (DGMPPDE) seminar
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-18K13444
  • [Presentation] スケール不変な消散項と質量項を持つ波動方程式の散乱とその漸近オーダーについて2020

    • Author(s)
      戍亥隆恭
    • Organizer
      愛媛大学解析セミナー 第 188 回解析セミナー
    • Invited
    • Data Source
      KAKENHI-PROJECT-18K13444
  • [Presentation] Scattering and asymptotic order for the wave equations with the scale-invariant damping and mass2020

    • Author(s)
      戍亥隆恭
    • Organizer
      NLPDE セミナー
    • Invited
    • Data Source
      KAKENHI-PROJECT-18K13444
  • [Presentation] Scattering solutions of the quadratic NLS system without mass-resonance condition in \mathbb{R}^52019

    • Author(s)
      浜野大, 戍亥隆恭, 西村蔵ノ輔
    • Organizer
      日本数学会 2019年度秋季総合分科会
    • Data Source
      KAKENHI-PROJECT-18K13444
  • [Presentation] The Strichartz estimates for the damped wave equation and its application to a nonlinear problem2019

    • Author(s)
      Takahisa Inui
    • Organizer
      The 12th International ISAAC congress
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-18K13444
  • [Presentation] The Strichartz estimates for the damped wave equation and its application to a nonlinear problem2019

    • Author(s)
      Takahisa Inui
    • Organizer
      International Workshop on “Fundamental Problems in Mathematical and Theoretical Physics”
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-18K13444
  • [Presentation] Failure of scattering for a Schrodinger equation with long-range nonlinearity on star graph2019

    • Author(s)
      Takahisa Inui
    • Organizer
      Workshop on recent progress in nonlinear dispersive PDEs
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-18K13444
  • [Presentation] Asymptotic behavior of the energy critical nonlinear damped wave equation with a scale invariant damping2019

    • Author(s)
      戍亥隆恭
    • Organizer
      第6回神楽坂非線形波動研究会
    • Invited
    • Data Source
      KAKENHI-PROJECT-18K13444
  • [Presentation] 非線形消散型シュレディンガー方程式の漸近挙動について2019

    • Author(s)
      戍亥隆恭
    • Organizer
      第145回熊本大学応用解析セミナー
    • Invited
    • Data Source
      KAKENHI-PROJECT-18K13444
  • [Presentation] Global behavior of solutions to the energy critical nonlinear damped wave equation2018

    • Author(s)
      戍亥隆恭
    • Organizer
      The 11th MSJ-SI The Role of Metrics in the Theory of Partial Differential Equations
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-18K13444
  • [Presentation] Strichartz estimates for the damped wave equation and its application to the energy critical nonlinear problem2018

    • Author(s)
      戍亥隆恭
    • Organizer
      Workshop Dispersive properties of Schroedinger and wave equations with perturbation
    • Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-18K13444
  • [Presentation] Strichartz estimates for the damped wave equation and its application to the nonlin- ear problem2018

    • Author(s)
      戍亥隆恭
    • Organizer
      Recent Trends in Nonlinear Partial Differential Equations and Related Problems, Scientific session of Canadian Mathematical Society (CMS) 2018 Winter Meeting
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-18K13444
  • [Presentation] Endpoint Strichartz estimate for the damped wave equation and its application2018

    • Author(s)
      戍亥隆恭
    • Organizer
      The 43rd Sapporo Symposium on Partial Differential Equations
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-18K13444
  • 1.  福泉 麗佳 (00374182)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 1 results
  • 2.  星野 壮登 (20823206)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 1 results
  • 3.  前田 昌也 (40615001)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 4.  小林 未知数 (50433313)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 5.  水谷 治哉
    # of Collaborated Projects: 0 results
    # of Collaborated Products: 3 results
  • 6.  岸本 展
    # of Collaborated Projects: 0 results
    # of Collaborated Products: 2 results
  • 7.  若杉 勇太
    # of Collaborated Projects: 0 results
    # of Collaborated Products: 1 results
  • 8.  岡本 葵
    # of Collaborated Projects: 0 results
    # of Collaborated Products: 1 results

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