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D-Index & Metrics

Mathematics

D-Index
71
Citations
65365
World Ranking
252
National Ranking
139

Research.com Recognitions

  • 1980 - Norbert Wiener Prize in Applied Mathematics

Overview

Tosio Kato was a researcher primarily affiliated with the University of California, Berkeley in the United States. Their work contributed to the field of computer science with a focus on computational theory and mathematics. The research topics largely involved advanced mathematical modeling in engineering.

The publications by Tosio Kato include the paper titled Extension and Representation of Divergence-free Vector Fields on Bounded Domains, published in 2021 at UNC Libraries. This paper has received citations that reflect its academic engagement.

  • Extension and Representation of Divergence-free Vector Fields on Bounded Domains (2021, UNC Libraries)

Kato collaborated frequently with other researchers, including:

  • Marius Mitrea
  • Gustavo Ponce
  • Michael Taylor

Their work was mainly published in UNC Libraries, indicating a focused dissemination channel.

  • UNC Libraries

Their contributions spanned the field of computer science with specialization in computational theory and mathematics.

  • Computer Science

  • Computational Theory and Mathematics

Areas of research concentrated on advanced mathematical modeling in engineering, as reflected in multiple publications covering this topic.

  • Advanced Mathematical Modeling in Engineering

Among awards, Tosio Kato was recognized with the Norbert Wiener Prize in Applied Mathematics in 1980.

Best Publications

  • Perturbation theory for linear operators

    Tosio Kato

  • Commutator estimates and the euler and navier‐stokes equations

    Tosio Kato;Gustavo Ponce

  • Strong LP-solutions of the Navier-Stokes equation in Rm, with applications to weak solutions

    Tosio Kato

  • Remarks on the breakdown of smooth solutions for the 3- D Euler equations

    J. T. Beale;T. Kato;A. Majda

  • On the Navier-Stokes initial value problem. I

    Unknown

  • On the Adiabatic Theorem of Quantum Mechanics

    Tosio Kato

  • The Cauchy problem for quasi-linear symmetric hyperbolic systems

    Tosio Kato

  • Quasi-linear equations of evolution, with applications to partial differential equations

    Tosio Kato

  • Nonlinear semigroups and evolution equations

    Tosio Kato

  • Spectral properties of Schrödinger operators and time-decay of the wave functions

    Arne Jensen;Tosio Kato

  • On the Eigenfunctions of Many-Particle Systems in Quantum Mechanics

    Tosio Kato

  • Nonstationary flows of viscous and ideal fluids in R3

    Tosio Kato

  • Perturbation theory for nullity, deficiency and other quantities of linear operators

    Tosio Kato

  • Linear evolution equations of ``hyperbolic'' type, II

    Tosio Kato

  • Fundamental properties of Hamiltonian operators of Schrödinger type

    Tosio Kato

  • Growth properties of solutions of the reduced wave equation with a variable coefficient

    Tosio Kato

  • On classical solutions of the two-dimensional non-stationary Euler equation

    Tosio Kato

  • A Short Introduction to Perturbation Theory for Linear Operators

    Tosio Kato

  • Well-posed quasi-linear second-order hyperbolic systems with applications to nonlinear elastodynamics and general relativity

    Thomas J. R. Hughes;Thomas J. R. Hughes;Tosio Kato;Tosio Kato;Jerrold E. Marsden;Jerrold E. Marsden

  • Fractional powers of dissipative operators

    Tosio Kato

  • On the Korteweg-de Vries equation

    Tosio Kato

  • Wave operators and similarity for some non-selfadjoint operators

    Unknown

Frequent Co-Authors

Gustavo Ponce
Gustavo Ponce University of California, Santa Barbara
Joel E. Cohen
Joel E. Cohen Rockefeller University
Frank Kelly
Frank Kelly University of Cambridge
Shmuel Friedland
Shmuel Friedland University of Illinois at Chicago
Marius Mitrea
Marius Mitrea Baylor University
Michael Taylor
Michael Taylor University of North Carolina at Chapel Hill

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