Tosio Kato

Who is Tosio Kato?

Tosio Kato was a Japanese mathematician who worked with partial differential equations, mathematical physics and functional analysis.

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 potentials. He dealt with nonlinear evolution equations, the Korteweg–de Vries equation 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.

In 1980, he won the Norbert Wiener Prize in Applied Mathematics from AMS and SIAM. In 1970, he gave a plenary lecture at the ICM in Nice.