Sergei Sobolev

Sergei Sobolev
Сергей Соболев
Sobolev in 1970
Born	(1908-10-06)6 October 1908 Saint Petersburg, Russian Empire
Died	3 January 1989(1989-01-03) (aged 80) Moscow, Soviet Union
Alma mater	Leningrad State University, 1929
Known for	Generalized functions Riesz–Sobolev inequality Sobolev conjugate Sobolev embedding theorem Sobolev generalized derivative Sobolev inequality Sobolev space
Awards	Lomonosov Gold Medal (1988) USSR State Prize (1983) Hero of Socialist Labor (1951) Stalin Prize (1941, 1951, 1953)
Scientific career
Fields	Mathematics
Institutions	Steklov Mathematical Institute, Lomonosov Moscow State University, Kurchatov Institute, Novosibirsk State University, Sobolev Institute
Doctoral advisor	Nikolai Günther

Prof Sergei Lvovich Sobolev, FRSE (Russian: Серге́й Льво́вич Со́болев; 6 October 1908 – 3 January 1989) was a Soviet mathematician working in mathematical analysis and partial differential equations.

Sobolev introduced 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.^[1]