Tosio Kato | |
|---|---|
 | |
| Born | (1917-08-25)August 25, 1917 Kanuma, Tochigi, Japan |
| Died | October 2, 1999(1999-10-02) (aged 82) |
| Citizenship | Japan |
| Alma mater | Imperial University of Tokyo |
| Known for | Kato's conjecture Kato theorem Kato's inequality Heinz–Kato inequality Kato–Rellich Theorem |
| Awards | Asahi Prize (1960) Norbert Wiener Prize in Applied Mathematics (1980) |
| Scientific career | |
| Fields | Mathematics |
| Institutions | University of Tokyo University of California at Berkeley |
| Doctoral advisor | Kwan-ichi Terazawa |
Tosio Kato (加藤 敏夫,Katō Toshio, August 25, 1917 – October 2, 1999) was a Japanesemathematician who worked withpartial differential equations,mathematical physics andfunctional analysis.
Kato studied physics and received his undergraduate degree in 1941 at theImperial University of Tokyo. After disruption of theSecond World War, he received his doctorate in 1951 from theUniversity of Tokyo, where he became a professor in 1958. From 1962, he worked as a professor at theUniversity of California at Berkeley in the United States.
Many works of Kato are related to mathematical physics. In 1951, he showed the self-adjointness ofHamiltonians for realistic (singular) potentials. He dealt with nonlinear evolution equations, theKorteweg–de Vries equation (Kato smoothing effect in 1983) and with solutions of theNavier–Stokes equation.[1][2] Kato is also known for his influential bookPerturbation theory of linear operators, published by Springer-Verlag.
In 1980, he won theNorbert Wiener Prize in Applied Mathematics fromAMS andSIAM. In 1970, he gave a plenary lecture at theICM inNice (scattering theory and perturbation of continuous spectra).
