High Quality Content by WIKIPEDIA articles! Vladimir Maz'ya (Russian: Владимир Гилелевич Мазья) (31 December 1937) (the family name is sometimes transliterated as Mazya, Maz'ja or Mazja) is a leading Swedish mathematician. He systematically made fundamental contributions to a wide array of areas in mathematical analysis and in the theory of partial differential equations. His early achievements include: his work on Sobolev spaces, in particular the discovery of the equivalence between Sobolev and isoperimetric/isocapacitary inequalities (1960), his counterexamples related to Hilbert's 19th and Hilbert's 20th problem (1968), his solution to V. Arnol'd's problem for the oblique derivative boundary value problem (1970) and to F. John's problem on the oscillations of a fluid in the presence of an immersed body (1977). In recent years, he proved a Wiener's type criterion for higher order elliptic equations, achieved a series of definitive results in the spectral theory of the Schrodinger...

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