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 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.[1][2] 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).
^O'Connor, John J.; Robertson, Edmund F., "Tosio Kato", MacTutor History of Mathematics Archive, University of St Andrews
^"Tosio Kato (1917—1999)", Notices of the American Mathematical Society, June/July, 2000
TosioKato (加藤 敏夫, Katō Toshio, August 25, 1917 – October 2, 1999) was a Japanese mathematician who worked with partial differential equations, mathematical...
The Kato theorem, or Kato's cusp condition (after Japanese mathematician TosioKato), is used in computational quantum physics. It states that for generalized...
works with a biography and commentaries of David Isaacson, Fritz John, TosioKato, Peter Lax, Louis Nirenberg, Wolfgag Wasow, Harold Weitzner. Giusti, Enrico...
1988) August 15 – Yukio Tsuda, football player (d. 1979) August 25 – TosioKato, mathematician (d. 1999) September 7 – Tetsuo Hamuro, breaststroke swimmer...
Mathematics Genealogy Project Cordes, H. O. (2001). "With TosioKato at Berkeley (TosioKato's Method and Principle for Evolution Equations in Mathematical...
Akaike, Hideo Shima, Yuzuru Hiraga, Takamine Jōkichi, Akira Fujishima and TosioKato. Literary figures who attended the University of Tokyo Soseki Natsume...
obtained his Ph.D. at the University of Tokyo, under the supervision of TosioKato. His most widely cited paper, published in 1966, studied the partial differential...
awarding societies. 1970: Richard E. Bellman 1975: Peter D. Lax 1980: TosioKato and Gerald B. Whitham 1985: Clifford S. Gardner 1990: Michael Aizenman...
works with a biography and commentaries of David Isaacson, Fritz John, TosioKato, Peter Lax, Louis Nirenberg, Wolfgang Wasow, Harold Weitzner. Mollifier...
Sobolev functions. Making use of an earlier regularity result of Brezis and TosioKato, Brezis and Nirenberg ruled out such phenomena for a certain class of...
solve this problem, one that was put into place in the early 1950s by TosioKato, a Mathematician at The University of California at Berkeley. Hofmann...
by Maximal Accretive Operator ). In Berkeley, he was also a student of TosioKato. As a post-doctoral student, he was at the Institute for Advanced Study...
operator", using the book titled the same as the course by mathematician TosioKato. "Entry on the department's website". Archived from the original on 2013-12-03...
include Richard Bellman, Peter Lax, Alexandre Chorin, Jerrold Marsden, TosioKato, Gerald Whitham, Arthur Winfree, and Harold Widom. Sethian, in collaboration...
where he retired as professor emeritus in 2016. His 1984 article with TosioKato and Andrew Majda, Remarks on the breakdown of smooth solutions for the...
Ihara Kenkichi Iwasawa Zvonimir Janko Richard V. Kadison Max Karoubi TosioKato Nicholas Michael Katz Howard Jerome Keisler Harry Kesten Reinhardt Kiehl...
scholar. Kim Hyun-jun, 39, South Korean basketball player, car accident. TosioKatō, 82, Japanese mathematician. Heinz G. Konsalik, 78, German novelist. R...
Journal of Quantum Chemistry. 95 (6): 877–881. doi:10.1002/qua.10622. Kato, Tosio (1957). "On the eigenfunctions of many-particle systems in quantum mechanics"...
50. American Mathematical Society. p. 156. ISBN 978-0-8218-2146-6. Kato, Tosio (1958). "Perturbation theory for the nullity deficiency and other quantities...
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