Mizutani Haruya 水谷治哉

Researcher Number	10614985
Other IDs	https://orcid.org/0000-0002-2685-048X
Affiliation (Current)	2023: 大阪大学, 大学院理学研究科, 准教授
Affiliation (based on the past Project Information) *help	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 Mathematical analysis
Keywords	Principal Investigator レゾルベント評価 / 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 / 平滑化作用 / スペクトル理論 / シュレディンガー作用素 / 偏微分方程式 / 散乱理論 / 一般化シュレディンガー方程式 … More / 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 / 偏微分方程式論 / 極限吸収原理 / 漸近完全性 / 非線形消散型波動方程式 / 波動方程式 / 非自己共役ディラック作用素 / 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 / 非線形シュレディンガー方程式 / 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 / 非自己共役作用素 / 時空間評価 … More Except Principal Investigator 爆発解 / 波動乱流 / 解の爆発 / 散乱理論 / ソリトン / 非線形波動 Less

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
シュレディンガー方程式に対するスケール臨界な大域挙動の定量的解析Principal Investigator
- Principal Investigator
  
  水谷治哉
- Project Period (FY)
  2017 – 2022
- Research Category
  
  Grant-in-Aid for Young Scientists (B)
- Research Field
  
  Mathematical analysis
- Research Institution
  Osaka University
非線形波動方程式の大域ダイナミクス
- Principal Investigator
  
  中西賢次
- 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 2021 2020 2019 2018 2017 2016 2015 2014 2013 Other

All Journal Article Presentation

[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] 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] 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] 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. 中西賢次 (40322200)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
2. 眞崎聡 (20580492)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results

Mizutani Haruya 水谷 治哉

Research Projects

Research Products

Co-Researchers

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

Project Period (FY)

Research Category

Review Section

Research Institution

シュレディンガー方程式に対するスケール臨界な大域挙動の定量的解析Principal Investigator

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

非線形波動方程式の大域ダイナミクス

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Qualitative and quantitative analysis of solution to Schrodinger equationsPrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

[Journal Article] Remarks on asymptotic order for the linear wave equation with the scale-invariant damping and mass with Lr-data2021

Author(s)

Journal Title

DOI

Data Source

[Journal Article] Kato Smoothing, Strichartz and Uniform Sobolev Estimates for Fractional Operators With Sharp Hardy Potentials2021

Author(s)

Journal Title

DOI

Data Source

[Journal Article] Wave operators on Sobolev spaces2020

Author(s)

Journal Title

DOI

Data Source

[Journal Article] Uniform Sobolev estimates for Schr?dingeroperators with scaling-critical potentials and applications2020

Author(s)

Journal Title

DOI

Data Source

[Journal Article] Scattering theory in homogeneous Sobolev spaces for Schr?dinger and wave equations with rough potentials2020

Author(s)

Journal Title

DOI

Data Source

[Journal Article] Uniform resolvent estimate for Schrodinger operator with an inverse-square potential2020

Author(s)

Journal Title

DOI

Data Source

[Journal Article] Failure of scattering to standing waves for a Schr?dinger equation with long-range nonlinearity on star graph2020

Author(s)

Journal Title

DOI

Data Source

[Journal Article] Global-in-time smoothing effects for Schrodinger equations with inverse-square potentials2018

Author(s)

Journal Title

DOI

Data Source

[Journal Article] Eigenvalue bounds for non-self-adjoint Schr?dinger operators with the inverse-square potential2018

Author(s)

Journal Title

DOI

Data Source

[Journal Article] Uniform resolvent and Strichartz estimates for Schrodinger equations with critical singularities2018

Author(s)

Journal Title

Data Source

[Journal Article] Global-in-time smoothing effects for Schr\"odinger equations with inverse-square potentials2017

Author(s)

Journal Title

Mizutani Haruya 水谷治哉

[Journal Article] Strichartz estimates for Schrödinger equations with variable coefficients and unbounded potentials2015

[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

[Presentation] Kato–Yajima and Strichartz estimates for fractional and higher-order Schr ̈odinger equations with Hardy potential2021