Sergei Lvovich Sobolev
| Sergei Lvovich Sobolev | |
|---|---|
Sergei L. Sobolev in Nice in 1970
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|
| Born |
6 October 1908 Saint Petersburg, Russian Empire |
| Died | 3 January 1989 (aged 80) Moscow, Soviet Union |
| Citizenship | Russia |
| Fields | Mathematics |
| Institutions |
Steklov Mathematical Institute, Lomonosov Moscow State University, Kurchatov Institute, |
| Alma mater | Leningrad State University, 1929 |
| Doctoral advisor | Nikolai Günther |
| Known for | Sobolev space, generalized functions |
| Influenced | Functional analysis, partial differential equations |
| Notable awards | 1941, 1951, 1953 Stalin Prize, 1986 USSR State Prize, Hero of Socialist Labor 1951, Lomonosov Gold Medal 1988 (posthumously) |
Steklov Mathematical Institute, Lomonosov Moscow State University, Kurchatov Institute,
Sergei Lvovich Sobolev (Russian: Серге́й Льво́вич Со́болев; 6 October 1908 – 3 January 1989) was a Soviet mathematician working in mathematical analysis and partial differential equations. He was born in St. Petersburg, and died in Moscow.
Sobolev introduced the notions that are now fundamental for several areas of mathematics. Sobolev spaces can be defined by some growth conditions on the Fourier transform. They and their embedding theorems are an important subject in functional analysis. Generalized functions (later known as distributions) were first introduced by Sobolev in 1935 for weak solutions, and further developed by Laurent Schwartz. Sobolev abstracted the classical notion of differentiation, so expanding the range of application of the technique of Newton and Leibniz. The theory of distributions is considered now as the calculus of the modern epoch.
Sobolev graduated from Leningrad University in 1929, where he was a student of Nikolai Maksimovich Günter. After graduation he worked with Vladimir Smirnov, whom he considered as his second teacher. He worked in Leningrad from 1932, and at the Steklov Mathematical Institute in Moscow from 1934. He headed the institute in evacuation to Kazan during the World War II. He was a Moscow State University professor from 1935 to 1957 and also a deputy director of the Institute for Atomic Energy from 1943 to 1957 where he participated in the A-bomb project of the USSR.
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