Background
Tosio Kato was born on August 25, 1917 in Kanuma, Tochigi Prefecture, Japan. He was the son of Shoji Kato and Shin (Sakamoto) Kato.
1978
Photo by George M. Bergman.
1983
Photo by George M. Bergman.
1992
Photo by George M. Bergman.
7 Chome-3-1 Hongo, Bunkyo City, Tokyo 113-8654, Japan
Kato studied physics at the University of Tokyo and graduated with a Bachelor of Science in 1941.
Kakutani (left) with Kato (right). Photograph by Paul Halmos.
(This book is a slightly expanded reproduction of the firs...)
This book is a slightly expanded reproduction of the first two chapters (plus Introduction) of the book "Perturbation Theory tor Linear Operators".
https://www.amazon.com/Introduction-Perturbation-Theory-Linear-Operators/dp/0387906665/?tag=2022091-20
1982
(In this book the author presents a detailed exposition of...)
In this book the author presents a detailed exposition of one of the methods, which deals with “elliptic-hyperbolic” equations in the abstract form and which has applications, among other things, to mixed initial-boundary value problems for certain nonlinear partial differential equations, such as elastodynamic and Schrödinger equations.
https://www.amazon.com/differential-equations-nonlinear-Publications-Superiore/dp/887642248X/?tag=2022091-20
1985
加藤 敏夫
Tosio Kato was born on August 25, 1917 in Kanuma, Tochigi Prefecture, Japan. He was the son of Shoji Kato and Shin (Sakamoto) Kato.
Kato studied physics at the University of Tokyo and graduated with a Bachelor of Science in 1941. However, World War II completely disrupted his studies at this point. Once circumstances allowed, he returned to the University of Tokyo to undertake doctoral studies. He was awarded his doctorate in physics in 1951 for a thesis entitled "On the convergence of the perturbation method".
Tosio Kato was appointed as an assistant professor of physics at the University of Tokyo in 1951. In 1954-55 Kato visited the United States for the first time, spending time at the University of California at Berkeley, and at New York University. The Department of Mathematics of the University of California, Berkeley, published Kato's notes "Quadratic forms in Hilbert spaces and asymptotic perturbation series" in 1955.
Also, resulting from his visit to New York University, Kato's notes "On the eigenfunctions of many-particle systems in quantum mechanics" were published by the Mathematical Sciences research Institute of New York University in 1956. In 1958 Kato was appointed a professor of physics at the University of Tokyo and led a small research group in the physics department.
Frantisek Wolf at Berkeley had become interested in perturbation theory through Kato's work and played a major role in an effort which brought Kato to Berkeley in 1962 to become Professor of Mathematics. In fact, Kato had major difficulties in obtaining a visa for the United States because of the tuberculosis he had suffered. It was the mathematician Charles Dolph who contacted the physicist Otto Laporte who was the American attaché in Tokyo and he arranged for a waiver to be applied.
In 1962 Tosio Kato introduced new powerful techniques for studying the partial differential equations of incompressible fluid mechanics, the Navier-Stokes equations. He published "On the Navier-Stokes initial value problem" in 1962 in which he gave a careful and readable account of the initial-value problem for the Navier-Stokes system.
In 1966 Kato published his classic text "Perturbation theory for linear operators". In 1970 he gave a plenary lecture at the ICM in Nice on scattering theory and perturbation of continuous spectra.
In 1982 Kato published "A short introduction to perturbation theory for linear operators". In 1983 he discovered the "Kato smoothing" effect while studying the initial-value problem associated with the Korteweg-de Vries equation, which was originally introduced to model the propagation of shallow water waves. Besides, he was invited to give the Fermi Lectures at the Scuola Normale Superiore in Pisa in May 1985.
Tosio Kato retired from his chair at Berkeley in 1988 but remained extremely active in research.
(In this book the author presents a detailed exposition of...)
1985(This book is a slightly expanded reproduction of the firs...)
1982Tosio Kato was a member of the American Mathematical Society and Mathematical Society of Japan.
Kato was an intensely private person who was deeply interested in nature and as a result, he especially loved the Botanical Gardens at Berkeley, and he spent many happy hours there.
Tosio Kato married Mizue Suzuki in 1944.