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Tohru Ozawa

Tohru Ozawa

D-Index & Metrics

Mathematics

D-Index
48
Citations
7480
World Ranking
1222
National Ranking
15

Overview

Tohru Ozawa is affiliated with Waseda University in Japan and has contributed extensively to the field of mathematics. Their research spans multiple subfields, with a primary focus on mathematical physics, applied mathematics, computational theory and mathematics, control and systems engineering, and statistical and nonlinear physics.

The main topics of Ozawa's work include:

  • Advanced Mathematical Physics Problems
  • Spectral Theory in Mathematical Physics
  • Navier-Stokes Equation Solutions
  • Numerical Methods in Inverse Problems
  • Advanced Mathematical Modeling in Engineering
  • Stability and Controllability of Differential Equations
  • Nonlinear Partial Differential Equations

The scientist has collaborated frequently with several coauthors, including:

  • Jishan Fan (14 publications)
  • Durvudkhan Suragan (11 publications)
  • Masayuki Hayashi (6 publications)
  • Kenta Tomioka (6 publications)
  • Ryunosuke Kusaba (6 publications)

Ozawa's recent papers reflect contributions to various mathematical problems and inequalities. Notable publications include:

  • "Rigorous analysis of the unified transform method and long-range instabilities for the inhomogeneous time-dependent Schrödinger equation on the quarter-plane," 2023, Mathematische Annalen
  • "Sharp remainder of the Poincaré inequality," 2020, Proceedings of the American Mathematical Society
  • "Zakharov system in two space dimensions," 2021, Nonlinear Analysis
  • "Poincaré inequalities with exact missing terms on homogeneous groups," 2020, Journal of the Mathematical Society of Japan
  • "The Cauchy Problem for the Logarithmic Schrödinger Equation Revisited," 2024, Annales Henri Poincaré

The venues where Ozawa has frequently published include:

  • arXiv (Cornell University) - 20 publications
  • Partial Differential Equations and Applications - 5 publications
  • Funkcialaj Ekvacioj - 3 publications
  • AIMS Mathematics - 3 publications
  • Journal of Mathematical Analysis and Applications - 2 publications

In addition to journal articles, Ozawa has contributed to academic books, including one published by Springer Nature titled Advances in Harmonic Analysis and Partial Differential Equations in 2020.

Best Publications

  • Long range scattering for nonlinear Schrödinger equations in one space dimension

    Tohru Ozawa

  • On Critical Cases of Sobolev′s Inequalities

    T. Ozawa

  • On the derivative nonlinear Schro¨dinger equation

    Nakao Hayashi;Tohru Ozawa

  • Long range scattering for non-linear Schrödinger and Hartree equations in space dimension n≥2

    J. Ginibre;T. Ozawa

  • Endpoint Strichartz estimates and global solutions for the nonlinear Dirac equation

    Shuji Machihara;Makoto Nakamura;Kenji Nakanishi;Tohru Ozawa

  • Nonrelativistic limit in the energy space for nonlinear Klein-Gordon equations

    Shuji Machihara;Kenji Nakanishi;Tohru Ozawa

  • On the nonlinear Schrödinger equations of derivative type

    T. Ozawa

  • Interpolation inequalities in Besov spaces

    Shuji Machihara;Shuji Machihara;Tohru Ozawa

  • Finite energy solutions of nonlinear Schro¨dinger equations of derivative type

    Nakao Hayashi;Tohru Ozawa

  • Remarks on nonlinear Schrödinger equations in one space dimension

    Nakao Hayashi;Tohru Ozawa;Tohru Ozawa;Tohru Ozawa;J. L. Bona

  • SOBOLEV INEQUALITIES WITH SYMMETRY

    Yonggeun Cho;Tohru Ozawa

  • Small global solutions and the nonrelativistic limit for the nonlinear Dirac equation

    Shuji Machihara;Kenji Nakanishi;Tohru Ozawa

  • Nonlinear Schrödinger Equations in the Sobolev Space of Critical Order

    M Nakamura;T Ozawa

  • Nonlinear Schrödinger equation with a point defect

    Reika Fukuizumi;Masahito Ohta;Tohru Ozawa

  • Global existence and asymptotic behavior of solutions for the Klein-Gordon equations with quadratic nonlinearity in two space dimensions

    Tohru Ozawa;Kimitoshi Tsutaya;Yoshio Tsutsumi

  • Existence and Smoothing Effect of Solutions for the Zakharov Equations

    Tohru Ozawa;Yoshio Tsutsumi

  • On the Cauchy Problem of Fractional Schrödinger Equation with Hartree Type Nonlinearity

    Yonggeun Cho;Hichem Hajaiej;Gyeongha Hwang;Tohru Ozawa

  • Well-posedness in energy space for the Cauchy problem of the Klein-Gordon-Zakharov equations with different propagation speeds in three space dimensions

    Tohru Ozawa;Kimitoshi Tsutaya;Yoshio Tsutsumi

  • On the Semirelativistic Hartree‐Type Equation

    Yonggeun Cho;Tohru Ozawa

  • On the existence of the wave operators for a class of nonlinear Schrödinger equations

    J. Ginibre;T. Ozawa;G. Velo

  • Necessary and Sucient Conditions for the Fractional Gagliardo-Nirenberg Inequalities and Applications to Navier-Stokes and Generalized Boson Equations

    Hichem Hajaiej;Luc Molinet;Tohru Ozawa;Baoxiang Wang

Frequent Co-Authors

Yoshikazu Giga
Yoshikazu Giga University of Tokyo
Nakao Hayashi
Nakao Hayashi Osaka University
Takayuki Nakagawa
Takayuki Nakagawa Kyoto University
Michael Ruzhansky
Michael Ruzhansky Ghent University
Kenji Nakanishi
Kenji Nakanishi Kyoto University
Yusuke Yamauchi
Yusuke Yamauchi University of Queensland
Shuji Kaneko
Shuji Kaneko Kyoto University
Hideo Kozono
Hideo Kozono Waseda University
Kazunaga Tanaka
Kazunaga Tanaka Waseda University

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