Sergei Sobolev

Sergei Sobolev
Сергей Соболев
Sobolev in 1970
Born(1908-10-06)6 October 1908
Died3 January 1989(1989-01-03) (aged 80)
Alma materLeningrad State University, 1929
Known forGeneralized functions
Riesz–Sobolev inequality
Sobolev conjugate
Sobolev embedding theorem
Sobolev generalized derivative
Sobolev inequality
Sobolev space
AwardsLomonosov Gold Medal (1988)
USSR State Prize (1983)
Hero of Socialist Labor (1951)
Stalin Prize (1941, 1951, 1953)
Scientific career
FieldsMathematics
InstitutionsSteklov Mathematical Institute, Lomonosov Moscow State University, Kurchatov Institute, Novosibirsk State University, Sobolev Institute
Doctoral advisorNikolai 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]

  1. ^ e.g. Friedman, A. (1970). Foundations of modern analysis. Courier Corporation, p. iii