Rchr
J-GLOBAL ID:201801005966104007   Update date: Nov. 13, 2025

Mizutani Haruya

Mizutani Haruya
Affiliation and department:
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
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Papers (29):
  • Haruya Mizutani, Zijun Wan, Xiaohua Yao. $L^p$-boundedness of wave operators for fourth order Schrödinger operators with zero resonances on R^3. Journal of Functional Analysis. 2025. 289. 8. 111013-111013
  • Haruya Mizutani, Xiaohua Yao. Global Kato smoothing and Strichartz estimates for Schrödinger type equations with rough decay potentials. Reviews in Mathematical Physics. 2025
  • Masaki Kawamoto, Haruya Mizutani. Modified scattering for the cubic nonlinear Schrödinger equation with long-range potentials in one space dimension. Proceedings of the American Mathematical Society. 2025
  • Luca Fanelli, Haruya Mizutani, Luz Roncal, Nico Michele Schiavone. Non-existence of Radial Eigenfunctions for the Perturbed Heisenberg Sublaplacian. Journal of Fourier Analysis and Applications. 2025. 31. 3
  • Masaki Kawamoto, Haruya Mizutani. Modified scattering for nonlinear Schrödinger equations with long-range potentials. Transactions of the American Mathematical Society. 2025
more...
MISC (8):
  • Masaki Kawamoto, Haruya Mizutani. Modified wave operators for the defocusing cubic nonlinear Schrödinger equation in one space dimension with large scattering data. 2025
  • 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
  • Kazuki Aoki, Takahisa Inui, Hayato Miyazaki, Haruya Mizutani, Kota Uriya. Modified scattering for inhomogeneous nonlinear Schrödinger equations with and without inverse-square potential. 2021
  • 水谷 治哉. Maciej Zworski: Semiclassical Analysis, Grad. Stud. Math., 138, Amer. Math. Soc., 2012年,xii+431ページ. 数学. 2016. 68. 4. 417-420
more...
Lectures and oral presentations  (37):
  • Modified wave operators for the defocusing cubic nonlinear Schrödinger equation in one space dimension with large scattering data
    (12th East Asian Conference in Harmonic Analysis and Applications 2025)
  • Modified wave operators for the defocusing cubic nonlinear Schrödinger equation in one space dimension with large scattering data
    (International Workshop on “Fundamental Problems in Mathematical and Theoretical Physics” 2025)
  • Uniform resolvent and smoothing estimates for the Heisenberg sublaplacian
    (Himeji Conference on Partial Differential Equations 2025)
  • Modified scattering for nonlinear Schrödinger equations with linear long-range potentials
    (The 49th Sapporo Symposium on Partial Differential Equations 2024)
  • Uniform resolvent estimates for a few non-elliptic operators
    (2024)
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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