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J-GLOBAL ID：201801005966104007   Update date: Nov. 13, 2024

Mizutani Haruya

Mizutani Haruya
Affiliation and department：
大阪大学 理学研究科 数学専攻

About 大阪大学 理学研究科 数学専攻


Job title： 准教授
Homepage URL  (1)： https://sites.google.com/site/haruyamizutani/home
Research field  (2)： Mathematical analysis ,  Basic analysis
Research keywords  (4)： シュレディンガー方程式 ,  散乱理論 ,  スペクトル理論 ,  偏微分方程式
Research theme for competitive and other funds  (6)：
  • 2024 - 2028 Research on balance and cooperation phenomena of dispersion effect and nonlinear effect in nonlinear dispersive equations
  • 2021 - 2026 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
  • 2017 - 2022 非線形波動方程式の大域ダイナミクス
  • 2017 - 2021 Quantitative analysis of global behaviors for scaling-critical Schr\"{o}dinger equations
  • 2013 - 2018 Qualitative and quantitative analysis of solution to Schrodinger equations
Show all
Papers (24)：
  • Haruya Mizutani, Xiaohua Yao. Global Kato smoothing and Strichartz estimates for Schrödinger type equations with rough decay potentials. Reviews in Mathematical Physics. 2024
  • Haruya Mizutani, Zijun Wan, Xiaohua Yao. Counterexamples and weak (1,1) estimates of wave operators for fourth-order Schrödinger operators in dimension three. Journal of Spectral Theory. 2024. 14. 4. 1409-1450
  • Haruya Mizutani, Zijun Wan, Xiaohua Yao. $L^p$-boundedness of wave operators for bi-Schrödinger operators on the line. Advances in Mathematics. 2024. 451. 109806
  • Kazuki Aoki, Takahisa Inui, Hayato Miyazaki, Haruya Mizutani, Kota Uriya. Asymptotic behavior for the long-rangenonlinear Schrödinger equation on the star graph with the Kirchhoff boundarycondition. Pure and Applied Analysis. 2022. 4. 2. 287-311
  • Haruya Mizutani, Nico M. Schiavone. Spectral enclosures for Dirac operators perturbed by rigid potentials. Reviews in Mathematical Physics. 2022. 34. 8. 250023
ｍore...
MISC (11)：
  • Luca Fanelli, Haruya Mizutani, Luz Roncal, Nico Michele Schiavone. Uniform resolvent estimates, smoothing effects and spectral stability for the Heisenberg sublaplacian. 2024
  • Haruya Mizutani. Limiting absorption principle and absence of eigenvalues for massless Klein-Gordon operators on perturbations of the Minkowski spacetime. 2023
  • Haruya Mizutani, Zijun Wan, Xiaohua Yao. $L^p$-boundedness of wave operators for fourth order Schrödinger operators with zero resonances on $\mathbb{R}^3. 2023
  • Luca Fanelli, Haruya Mizutani, Luz Roncal, Nico Michele Schiavone. Non-existence of radial eigenfunctions for the perturbed Heisenberg sublaplacian. 2023
  • Masaki Kawamoto, Haruya Mizutani. Modified scattering for nonlinear Schrödinger equations with long-range potentials. 2023
ｍore...
Lectures and oral presentations  (33)：
  • Uniform resolvent estimates for a few non-elliptic operators
    (2024)
  • Strichartz estimates for Schrödinger equations with long-range potentials
    (2023)
  • 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L^p有界性
    (偏微分方程式の解の特異性とその周辺 2023)
  • 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
    (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」 2022)
  • $L^p$-boundedness of wave operators for fourth-order Schrodinger operators in one space dimension,
    (Harmonic Analysis and Nonlinear Partial Differential Equations 2022)
ｍore...
Education (2)：
  • 2006 - 2011 The University of Tokyo Graduate School of Mathematical Sciences
  • 2002 - 2006 Gakushuin University Faculty of Science
Professional career (1)：
  • 博士(数理科学) (東京大学)
Work history (4)：
  • 2017/04 - 現在 Osaka University
  • 2014/04 - 2017/03 Osaka University
  • 2012/10 - 2014/03 Gakushuin University Faculty of Science
  • 2011/04 - 2012/09 Kyoto University Research Institute for Mathematical Sciences
Awards (1)：
  • 2017 - 日本数学会 日本数学会賞建部賢弘賞特別賞 シュレディンガー方程式に対するストリッカーツ評価
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