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    Sergei Sobolev

    Russian mathematician

    Prof Sergei Lvovich Sobolev, FRSE 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 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. Wikipedia

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  2. en.wikipedia.org

    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.
  3. mathshistory.st-andrews.ac.uk

    Biography Sergei L'vovich Sobolev's father, Lev Aleksandrovich Sobolev, was an important layer and barrister.His mother, Nataliya Georgievna, played an important role in Sobolev's upbringing, particularly after the death of Sobolev's father when Sobolev was 14 years old. He studied at the Khar'kov Workers' Technical School preparing to enter the high school which he did in 1922 around the time ...
  4. en.wikipedia.org

    In mathematics, a Sobolev space is a vector space of functions equipped with a norm that is a combination of L p-norms of the function together with its derivatives up to a given order. The derivatives are understood in a suitable weak sense to make the space complete, i.e. a Banach space.Intuitively, a Sobolev space is a space of functions possessing sufficiently many derivatives for some ...
  5. Sergei L'vovich Sobolev was born in Saint Petersburg on October 6, 1908. His father Lev Aleksandrovich Sobolev, a solicitor, participated in revolutionary activities for which he was expelled from Saint Petersburg University. His mother Natalia Georgievna Soboleva also was in her youth a revolutionary and a member of the RSDLP.
  6. en.wikipedia.org

    The Sobolev embedding theorem holds for Sobolev spaces W k,p (M) on other suitable domains M.In particular (Aubin 1982, Chapter 2; Aubin 1976), both parts of the Sobolev embedding hold when M is a bounded open set in R n with Lipschitz boundary (or whose boundary satisfies the cone condition; Adams 1975, Theorem 5.4); M is a compact Riemannian manifold; M is a compact Riemannian manifold with ...
  7. math.stackexchange.com

    Stack Exchange Network. Stack Exchange network consists of 183 Q&A communities including Stack Overflow, the largest, most trusted online community for developers to learn, share their knowledge, and build their careers.. Visit Stack Exchange
  8. math.stackexchange.com

    $\begingroup$ On Wikipedia, you can easily find: Hardy Inequality origins from 1-dimension integral by parts. Due to Szego Inequality and Riesz Rearrangement inequality, we only need to concern for radial symmetric functions that blows up at the origin.
  9. S.L. Sobolev (1908-1989) was a great mathematician of the twentieth century. His selected works included in this volume laid the foundations for intensive development of the modern theory of partial differential equations and equations of mathematical physics, and they were a gold mine for new directions of functional analysis and computational mathematics.
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  10. math.ucdavis.edu

    Introduction to Sobolev Spaces Steve Shkoller Department of Mathematics University of California at Davis Davis, CA 95616 USA email: shkoller@math.ucdavis.edu ... the theory of Lp spaces, the Fourier series and the Fourier transform, the notion of weak derivatives and distributions, and a fair amount of differential analysis (the theory of dif

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