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Anisotropic function spaces and elliptic boundary value problems
Author(s) -
Nguyen Timothy
Publication year - 2012
Publication title -
mathematische nachrichten
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.913
H-Index - 50
eISSN - 1522-2616
pISSN - 0025-584X
DOI - 10.1002/mana.201000106
Subject(s) - mathematics , anisotropy , bessel function , mathematical analysis , boundary value problem , function (biology) , value (mathematics) , boundary (topology) , pure mathematics , physics , quantum mechanics , evolutionary biology , biology , statistics
In this paper, we study anisotropic Bessel potential and Besov spaces, where the anisotropy measures the extra amount of regularity in certain directions. Some basic properties of these spaces are established along with applications to elliptic boundary value problems.