An overview of some works of S.L. Sobolev

Abstract

This paper is a short essay about Sergei L'vovich Sobolev (1908–1989), an outstanding mathematician of the 20th century, who made fundamental contributions to the development of the modern theory of partial differential equations, equations of mathematical physics, functional analysis, function theory, and computational mathematics.

Keywords:

• Diffraction problem
• generalized derivatives
• Sobolev spaces
• embedding theorems
• generalized solutions
• cubature formulas

AMS Subject Classifications:

• 35-XX
• 46-XX

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Publisher's note

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Correction Statement

This article has been republished with minor changes. These changes do not impact the academic content of the article.