Citizenship Japan Role Mathematician | Name Tosio Kato Fields Mathematics | |
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Born August 25, 1917Kanuma, Tochigi, Japan ( 1917-08-25 ) Institutions University of TokyoUniversity of California at Berkeley Doctoral students Preben AlsholmCharles AmelinErik BalslevAndrew ChildsGilles DarmoisCharles FisherHiroshi FujitaJames HowlandTeruo IkebeRafael Iorio, Jr.Shige KurodaChi-Yuen LaiCharles LinFrank MasseyFrancis McGrathJoel MerminMasaomi NakataDung NguyenGershon PinchukRonald RiddellHugh StewartPonnaluri SuryanarayanaHoward SwannBaoswan Wong-Dzung Known for Kato's conjectureHeinz–Kato inequalityKato Rellich Theorem Died October 2, 1999, Oakland, California, United States Books Perturbation theory for linear op, Abstract Differential Equation, A Short Introduction to Perturb, Contributions to Functiona Similar People Jean Leray, Gunter Ewald, Angus Ellis Taylor | ||
Tosio Kato (加藤 敏夫, Katō Toshio, August 25, 1917 – October 2, 1999) 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 (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.
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 (scattering theory and perturbation of continuous spectra).