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Mizutani Haruya  水谷 治哉

Researcher Number 10614985
Other IDs
  • ORCIDhttps://orcid.org/0000-0002-2685-048X
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 2021 – 2024: 大阪大学, 大学院理学研究科, 准教授
2017 – 2021: 大阪大学, 理学研究科, 准教授
2016: 大阪大学, 理学研究科, 助教
2014 – 2015: 大阪大学, 理学(系)研究科(研究院), 助教
2013: 学習院大学, 理学部, 助教
Review Section/Research Field
Principal Investigator
Mathematical analysis / Basic Section 12020:Mathematical analysis-related
Except Principal Investigator
Basic Section 12020:Mathematical analysis-related / Mathematical analysis
Keywords
Principal Investigator
レゾルベント評価 / 偏微分方程式 / ストリッカーツ評価 / シュレディンガー方程式 / 波動作用素 / 非線形シュレディンガー方程式 / 一様レゾルベント評価 / 平滑化作用 / 非自己共役作用素 / スペクトル理論 … More / シュレディンガー作用素 / 散乱理論 / 一般化シュレディンガー方程式 / 重みつき有界性 / 高階シュレディンガー作用素 / 分数階シュレディンガー作用素 / 星型グラフ / 準ラプラシアン / ハイゼンベルグ群 / 修正散乱 / 長距離散乱 / 4階シュレディンガー作用素 / 偏微分方程式論 / 漸近完全性 / 非線形消散型波動方程式 / 波動方程式 / 逆二乗冪ポテンシャル / 消散型非線形波動方程式 / 修正波動作用素 / Keller-Lieb-Thirring 不等式 / Klein-Gordon 作用素 / 極限吸収原理 / 漸近的 Minkowski 空間 / 非自己共役ディラック作用素 / 平滑化効果 / 捕捉軌道 / 超局所解析 / 半古典理論 / 漸近的錐多様体 / 時空間評価 … More
Except Principal Investigator
長距離散乱理論 / 非線形散乱問題 / 方程式系の分類 / 解の漸近挙動 / 非線形分散型方程式 / 波動乱流 / 解の爆発 / 爆発解 / ソリトン / 散乱理論 / 非線形波動 Less
  • Research Projects

    (5 results)
  • Research Products

    (60 results)
  • Co-Researchers

    (5 People)
  •  Research on balance and cooperation phenomena of dispersion effect and nonlinear effect in nonlinear dispersive equations

    • Principal Investigator
      眞崎 聡
    • Project Period (FY)
      2024 – 2027
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Review Section
      Basic Section 12020:Mathematical analysis-related
    • Research Institution
      Hokkaido University
  •  一般化シュレディンガー方程式に対する実解析的評価式と非線形分散型方程式への応用Principal Investigator

    • Principal Investigator
      水谷 治哉
    • Project Period (FY)
      2021 – 2025
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Review Section
      Basic Section 12020:Mathematical analysis-related
    • Research Institution
      Osaka University
  •  Quantitative analysis of global behaviors for scaling-critical Schr\"{o}dinger equationsPrincipal Investigator

    • Principal Investigator
      Mizutani Haruya
    • Project Period (FY)
      2017 – 2022
    • Research Category
      Grant-in-Aid for Young Scientists (B)
    • Research Field
      Mathematical analysis
    • Research Institution
      Osaka University
  •  Global dynamics of nonlinear wave equations

    • Principal Investigator
      Nakanishi Kenji
    • Project Period (FY)
      2017 – 2021
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Mathematical analysis
    • Research Institution
      Kyoto University
      Osaka University
  •  Qualitative and quantitative analysis of solution to Schrodinger equationsPrincipal Investigator

    • Principal Investigator
      Mizutani Haruya
    • Project Period (FY)
      2013 – 2017
    • Research Category
      Grant-in-Aid for Young Scientists (B)
    • Research Field
      Mathematical analysis
    • Research Institution
      Osaka University
      Gakushuin University

All 2023 2022 2021 2020 2019 2018 2017 2016 2015 2014 2013 Other

All Journal Article Presentation

  • [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] Spectral enclosures for Dirac operators perturbed by rigid potentials2022

    • Author(s)
      Mizutani Haruya、Schiavone Nico M.
    • Journal Title

      Reviews in Mathematical Physics

      Volume: 34 Issue: 08 Pages: 2250023-2250023

    • DOI

      10.1142/s0129055x22500234

    • Peer Reviewed / Open Access / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-17K14218
  • [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] Kato Smoothing, Strichartz and Uniform Sobolev Estimates for Fractional Operators With Sharp Hardy Potentials2021

    • Author(s)
      Haruya Mizutani, Xiaohua Yao
    • Journal Title

      Communications in Mathematical Physics

      Volume: 388 Issue: 1 Pages: 581-623

    • DOI

      10.1007/s00220-021-04229-1

    • Peer Reviewed / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-21K03325
  • [Journal Article] Wave operators on Sobolev spaces2020

    • Author(s)
      Haruya Mizutani
    • Journal Title

      Proceedings of American Mathematical Society

      Volume: 148 Issue: 4 Pages: 1645-1652

    • DOI

      10.1090/proc/14838

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-17K14218
  • [Journal Article] Uniform Sobolev estimates for Schr?dingeroperators with scaling-critical potentials and applications2020

    • Author(s)
      Mizutani Haruya
    • Journal Title

      Analysis & PDE

      Volume: 13 Issue: 5 Pages: 1333-1369

    • DOI

      10.2140/apde.2020.13.1333

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-17K14218
  • [Journal Article] Scattering theory in homogeneous Sobolev spaces for Schr?dinger and wave equations with rough potentials2020

    • Author(s)
      Mizutani Haruya
    • Journal Title

      Journal of Mathematical Physics

      Volume: 61 Issue: 9 Pages: 091505-091505

    • DOI

      10.1063/5.0019682

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-17K14218
  • [Journal Article] Uniform resolvent estimate for Schrodinger operator with an inverse-square potential2020

    • Author(s)
      HaruyaMizutani, Junyong Zhang, Jiqiang Zheng
    • Journal Title

      Journal of Functional Analysis

      Volume: 278 Issue: 4 Pages: 108350-108350

    • DOI

      10.1016/j.jfa.2019.108350

    • Peer Reviewed / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-17K14218
  • [Journal Article] Strichartz estimates for Schrodinger equations with slowly decaying potentials2020

    • Author(s)
      Mizutani Haruya
    • Journal Title

      Journal of Functional Analysis

      Volume: 279 Issue: 12 Pages: 108789-108789

    • DOI

      10.1016/j.jfa.2020.108789

    • Peer Reviewed / Open Access
    • Data Source
      KAKENHI-PROJECT-17H02854
  • [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] Global-in-time smoothing effects for Schrodinger equations with inverse-square potentials2018

    • Author(s)
      Haruya Mizutani
    • Journal Title

      Proceedings of the American Mathematical Society

      Volume: 146 Issue: 1 Pages: 295-307

    • DOI

      10.1090/proc/13729

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-17K14218, KAKENHI-PROJECT-17H02854
  • [Journal Article] Eigenvalue bounds for non-self-adjoint Schr?dinger operators with the inverse-square potential2018

    • Author(s)
      Mizutani Haruya
    • Journal Title

      Journal of Spectral Theory

      Volume: 印刷中 Issue: 2 Pages: 677-709

    • DOI

      10.4171/jst/260

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-17K14218
  • [Journal Article] Uniform resolvent and Strichartz estimates for Schrodinger equations with critical singularities2018

    • Author(s)
      Jean-Marc Bouclet, Haruya Mizutani
    • Journal Title

      Transactions of the American Mathematical Society

      Volume: -

    • Peer Reviewed / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-17K14218
  • [Journal Article] Global-in-time smoothing effects for Schr\"odinger equations with inverse-square potentials2017

    • Author(s)
      Haruya Mizutani
    • Journal Title

      Proceedings of the American Mathematical Society

      Volume: 印刷中

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-25800083
  • [Journal Article] Uniform resolvent and Strichartz estimates for Schr\"odinger equations with critical singularities2017

    • Author(s)
      Jean-Marc Bouclet, Haruya Mizutani
    • Journal Title

      Transactions of the American Mathematical Society

      Volume: 印刷中

    • Peer Reviewed / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-25800083
  • [Journal Article] Remarks on endpoint Strichartz estimates for Schrodinger equations with the critical inverse-square potential2017

    • Author(s)
      Haruya Mizutani
    • Journal Title

      Journal of Differential Equations

      Volume: 263 Issue: 7 Pages: 3832-3853

    • DOI

      10.1016/j.jde.2017.05.006

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-25800083
  • [Journal Article] Strichartz estimates for non elliptic Schroedinger equations on compact manifolds2015

    • Author(s)
      H. Mizutani, N. Tzvetkov
    • Journal Title

      Communications in Partial Differential Equations

      Volume: 40 Issue: 6 Pages: 1182-1195

    • DOI

      10.1080/03605302.2015.1010211

    • Peer Reviewed / Acknowledgement Compliant
    • Data Source
      KAKENHI-PROJECT-25800083
  • [Journal Article] Strichartz estimates for Schrödinger equations with variable coefficients and unbounded potentials2015

    • Author(s)
      Haruya Mizutani
    • Journal Title

      Advanced Studies in Pure Mathematics

      Volume: 64 Pages: 453-460

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-25800083
  • [Journal Article] Strichartz estimates for Schroedinger equations with variable coefficients and unbounded potentials II. Superquadratic potentials2014

    • Author(s)
      H. Mizutani
    • Journal Title

      Communications on Pure and Applied Analysis

      Volume: 13 Issue: 6 Pages: 2177-2210

    • DOI

      10.3934/cpaa.2014.13.2177

    • Peer Reviewed / Acknowledgement Compliant
    • Data Source
      KAKENHI-PROJECT-25800083
  • [Journal Article] Strichartz estimates for Schroedinger equations with variable coefficients and unbounded potentials2013

    • Author(s)
      Haruya Mizutani
    • Journal Title

      Analysis and PDE

      Volume: 6 Issue: 8 Pages: 1857-1898

    • DOI

      10.2140/apde.2013.6.1857

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-25800083
  • [Presentation] Strichartz estimates for Schrodinger equations with long-range potentials2023

    • Author(s)
      水谷治哉
    • Organizer
      Harmonic Analysis and its Applications 2023
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-21K03325
  • [Presentation] Modified scattering for nonlinear Schrodinger equations with long-range potentials2023

    • Author(s)
      水谷治哉
    • Organizer
      関数方程式セミナー
    • Data Source
      KAKENHI-PROJECT-21K03325
  • [Presentation] 1次元4階シュレディンガー方程式に対する波動作用素の Lp 有界性2023

    • Author(s)
      Haruya Mizutani
    • Organizer
      研究集会 “偏 微分方程式の解の特異性とその周辺”
    • Invited
    • Data Source
      KAKENHI-PROJECT-21K03325
  • [Presentation] Limiting absorption principle at zero energy and absence of eigenvalues for massless Klein-Gordon operators on small perturbations of Minkowski spacetime2023

    • Author(s)
      Haruya Mizutani
    • Organizer
      東京・大阪 スペクトル オンラインセミナー
    • Data Source
      KAKENHI-PROJECT-17K14218
  • [Presentation] 1次元4階シュレディンガー作用素に対する波動作用素の有界性2022

    • Author(s)
      Haruya Mizutani
    • Organizer
      大岡山談話会
    • Invited
    • Data Source
      KAKENHI-PROJECT-21K03325
  • [Presentation] ポテンシャルを伴うシュレディンガー方程式のストリッカーツ評価について2022

    • Author(s)
      Haruya Mizutani
    • Organizer
      RIMS 共同研究(グループ型 A)“量子散乱における順問題と逆問題の新展開 ”
    • Invited
    • Data Source
      KAKENHI-PROJECT-17K14218
  • [Presentation] 1次元4階シュレディンガー作用素に対する波動作用素の有界性2022

    • Author(s)
      Haruya Mizutani
    • Organizer
      偏微分方程式セミ ナー
    • Invited
    • Data Source
      KAKENHI-PROJECT-21K03325
  • [Presentation] $L^p$-boundedness of wave operators for fourth-order Schrodinger operators in one space dimension2022

    • Author(s)
      Haruya Mizutani
    • Organizer
      Harmonic Analysis and Nonlinear Partial Differential Equations
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-21K03325
  • [Presentation] 1次元4階シュレディンガー作用素に対する波動作用素の$L^p$有界性2022

    • Author(s)
      Haruya Mizutani
    • Organizer
      第3回スペク トル・散乱若手勉強会
    • Invited
    • Data Source
      KAKENHI-PROJECT-21K03325
  • [Presentation] ポテンシャルを伴うシュレディンガー方程式に対する時間大域的ストリッカーツ評 価2021

    • Author(s)
      水谷治哉
    • Organizer
      日本数学会秋季総合分科会
    • Invited
    • Data Source
      KAKENHI-PROJECT-17K14218
  • [Presentation] Kato–Yajima and Strichartz estimates for fractional and higher-order Schr ̈odinger equations with Hardy potential2021

    • Author(s)
      水谷治哉
    • Organizer
      Harmonic Analysis and Wave Phenomena
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-21K03325
  • [Presentation] Strichartz estimates for Schroedinger equations with slowly decaying potentials2020

    • Author(s)
      水谷治哉
    • Organizer
      スペクトル散乱理論とその周辺
    • Invited
    • Data Source
      KAKENHI-PROJECT-17K14218
  • [Presentation] Strichartz estimates for Schrodinger equations with slowly decaying positive potentials2019

    • Author(s)
      水谷治哉
    • Organizer
      2019 Zhuhai PDE Workshop
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-17K14218
  • [Presentation] Strichartz estimates for Schrodinger equations with positive slowly decaying potentials2019

    • Author(s)
      水谷治哉
    • Organizer
      HMAセミナー・冬の研究会 2019
    • Invited
    • Data Source
      KAKENHI-PROJECT-17K14218
  • [Presentation] Wave operator on Sobolev space2019

    • Author(s)
      Haruya Mizutani
    • Organizer
      International Workshop on "Fundamental Problems in Mathematical and Theoretical Physics"
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-17K14218
  • [Presentation] Strichartz estimates for Schrodinger equations with slowly decaying potentials2018

    • Author(s)
      水谷治哉
    • Organizer
      第 8 回 弘前非線形方程式研究会
    • Invited
    • Data Source
      KAKENHI-PROJECT-17K14218
  • [Presentation] On Strichartz estimates for the Schrodinger equation with decaying potentials2018

    • Author(s)
      水谷治哉
    • Organizer
      2018 Taiwan-Japan Workshop on Scattering, Dispersion, Traveling Waves, and Inverse Problems
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-17K14218
  • [Presentation] Strichartz estimates for Schrodinger equations with slowly decaying potentials2018

    • Author(s)
      水谷治哉
    • Organizer
      日本数学会秋季総合分科会
    • Data Source
      KAKENHI-PROJECT-17K14218
  • [Presentation] Strichartz estimates for Schrodinger equations with slowly decaying potentials2018

    • Author(s)
      水谷治哉
    • Organizer
      神楽坂解析セミナー
    • Invited
    • Data Source
      KAKENHI-PROJECT-17K14218
  • [Presentation] Uniform Sobolev estimates for the resolvent of scaling-critical Schr\"odinger operators and applications2017

    • Author(s)
      Haruya Mizutani
    • Organizer
      第34回九州における偏微分方程式研究集会
    • Place of Presentation
      九州大学
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-25800083
  • [Presentation] Eigenvalue and eigenfunction bounds for multidimensional Schrodinger operators2017

    • Author(s)
      Haruya Mizutani
    • Organizer
      第1回 南洋理工大学・大阪大学共同ワークショップ
    • Data Source
      KAKENHI-PROJECT-25800083
  • [Presentation] Endpoint Strichartz estimates for Schrodinger equation with the inverse-square potential2017

    • Author(s)
      Haruya Mizutani
    • Organizer
      Nonlinear Dispersive Equations in Kumamoto
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-25800083
  • [Presentation] Uniform Sobolev Estimates for the Resolvent of Scaling-Critical Schr\"odinger Operators and Applications2017

    • Author(s)
      Haruya Mizutani
    • Organizer
      偏微分方程式姫路研究集会
    • Place of Presentation
      イーグレ姫路
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-25800083
  • [Presentation] Uniform Sobolev estimates for Schrodinger operators with scaling-critical potentials2017

    • Author(s)
      Haruya Mizutani
    • Organizer
      Spectral and Scattering Theory and Related Topics
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-17K14218
  • [Presentation] Uniform Sobolev estimates for Schrodinger operators with scaling-critical potentials2017

    • Author(s)
      Haruya Mizutani
    • Organizer
      2017 Taiwan Mathematical Society Annual Meeting
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-17K14218
  • [Presentation] Eigenvalue bounds for non-self-adjoint Schrodinger operators with the inverse square potential2017

    • Author(s)
      Haruya Mizutani
    • Organizer
      Mathematical Aspects of Physics with Non-Self-Adjoint Operators
    • Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-17K14218
  • [Presentation] Global-in-time Strichartz estimates for Schr\"odinger equations on long-range asymptotically conic manifolds2017

    • Author(s)
      Haruya Mizutani
    • Organizer
      Tokyo--Berkeley Mathematics Workshop ``Partial Differential Equations and Mathematical Physics"
    • Place of Presentation
      東京大学大学院数理科学研究科
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-25800083
  • [Presentation] Strichartz and smoothing estimates for Schrodinger equations with scaling-critical potentials2017

    • Author(s)
      Haruya Mizutani
    • Organizer
      応用数学セミナー
    • Data Source
      KAKENHI-PROJECT-25800083
  • [Presentation] Uniform Sobolev estimates for Schrodinger operators2017

    • Author(s)
      Haruya Mizutani
    • Organizer
      TOPICS IN HARMONIC ANALYSIS - Intensive Lectures Series
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-17K14218
  • [Presentation] Remarks on endpoint Strichartz estimates for Schrodinger equations with inverse-square potentials2017

    • Author(s)
      Haruya Mizutani
    • Organizer
      Nonlinear Partial Differential Equations for Future Applications "Hyperbolic and Dispersive PDE"
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-17K14218
  • [Presentation] Uniform Sobolev inequalities for Schr\"odinger operators and applications2016

    • Author(s)
      Haruya Mizutani
    • Organizer
      International Conference for the 70th Anniversary of Korean Mathematical Society
    • Place of Presentation
      Seoul National University, Korea
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-25800083
  • [Presentation] Uniform resolvent estimates for Schr\"odinger operators with singular potentials and their applications2016

    • Author(s)
      Haruya Mizutani
    • Organizer
      Seminaire: Problemes spectraux en physique mathematique
    • Place of Presentation
      l'Institut Henri Poincare, France
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-25800083
  • [Presentation] Strichartz estimates for Schrodinger equations with slowly decreasing repulsive potentials2015

    • Author(s)
      水谷治哉
    • Organizer
      信州大学偏微分方程式研究集会
    • Place of Presentation
      信州大学理学部(長野県松本市)
    • Year and Date
      2015-06-12
    • Invited
    • Data Source
      KAKENHI-PROJECT-25800083
  • [Presentation] 長距離型斥力ポテンシャルを持つシュレディンガー方程式の時間大域的ストリッカー ツ評価2015

    • Author(s)
      水谷治哉
    • Organizer
      解析学火曜セミナー
    • Place of Presentation
      東京大学大学院数理科学研究科(東京都目黒区)
    • Year and Date
      2015-09-08
    • Data Source
      KAKENHI-PROJECT-25800083
  • [Presentation] Strichartz estimates for Schrodinger equations with slowly decaying potentials2015

    • Author(s)
      水谷治哉
    • Organizer
      線形および非線形分散型方程式の研究
    • Place of Presentation
      京都大学数理解析研究所(京都府京都市)
    • Year and Date
      2015-05-18
    • Data Source
      KAKENHI-PROJECT-25800083
  • [Presentation] Strichartz estimates for Schroedinger equations on manifolds with ends

    • Author(s)
      水谷治哉
    • Organizer
      研究集会「Linear and Nonlinear Waves, No.11」
    • Place of Presentation
      ピアザ淡海 滋賀県立県民交流センター
    • Invited
    • Data Source
      KAKENHI-PROJECT-25800083
  • [Presentation] 変数係数シュレディンガー方程式に対するストリッカーツ評価について

    • Author(s)
      水谷治哉
    • Organizer
      日本数学会年会特別講演
    • Place of Presentation
      学習院大学
    • Invited
    • Data Source
      KAKENHI-PROJECT-25800083
  • [Presentation] Strichartz estimates for Schroedinger equations with time-dependent unbounded potentials

    • Author(s)
      水谷治哉
    • Organizer
      研究集会「線形および非線形分散型方程式の研究」
    • Place of Presentation
      京都大学
    • Invited
    • Data Source
      KAKENHI-PROJECT-25800083
  • [Presentation] Strichartz estimates for Schroedinger equations on manifolds with ends

    • Author(s)
      H. Mizutani
    • Organizer
      Lectures on Semi-Classical Analysis
    • Place of Presentation
      立命館大学(滋賀県草津市)
    • Year and Date
      2014-07-03 – 2014-07-05
    • Invited
    • Data Source
      KAKENHI-PROJECT-25800083
  • 1.  眞崎 聡 (20580492)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 2.  Nakanishi Kenji (40322200)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 3.  瓜屋 航太 (10779474)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 4.  山崎 陽平 (70761493)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 5.  戍亥 隆恭
    # of Collaborated Projects: 0 results
    # of Collaborated Products: 1 results

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