August 25, 1917|
Kanuma, Tochigi, Japan
|Died||October 2, 1999
|Institutions||University of Tokyo
University of California at Berkeley
|Alma mater||Imperial University of Tokyo|
|Doctoral advisor||Kwan-ichi Terazawa|
|Doctoral students||Preben Alsholm
Rafael Iorio, Jr.
|Known for||Kato's conjecture
Kato Rellich Theorem
|Notable awards||Asahi Prize (1960)
Norbert Wiener Prize in Applied Mathematics (1980)
Kato studied physics and received his undergraduate degree in 1941 at the Imperial University of Tokyo. After disruption of the Second World War, he received his doctorate in 1951 from the University of Tokyo, where he became a professor in 1958. From 1962, he worked as a professor at the University of California at Berkeley in the United States.
Many works of Kato are related to mathematical physics. In 1951, he showed the self-adjointness of Hamiltonians for realistic (singular) potentials. He dealt with nonlinear evolution equations, the Korteweg–de Vries equation (Kato smoothing effect in 1983) and with solutions of the Navier-Stokes equation. Kato is also known for his influential book Perturbation theory of linear operators, published by Springer-Verlag.
- Perturbation theory of linear operators. Principles of Mathematical Sciences, Springer-Verlag, 1966, 1976.
- A short introduction to the perturbation theory of linear operators. Springer-Verlag 1982.