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Linear Elliptic Boundary Value Problems with Non‐Smooth Data: Campanato Spaces of Functionals
Author(s) -
Griepentrog Jens A.
Publication year - 2002
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 - 10.1002/1522-2616(200209)243:1<19::aid-mana19>3.0.co;2-0
Subject(s) - mathematics , sobolev space , mathematical analysis , boundary value problem , lipschitz continuity , homogeneous , boundary (topology) , mixed boundary condition , combinatorics
In this paper linear elliptic boundary value problems of second order with non‐smooth data L ∞ ‐coefficients, sets with Lipschitz boundary, regular sets, non‐homogeneous mixed boundary conditions) are considered. It will be shown that such boundary value problems generate isomorphisms between certain Sobolev‐Campanato spaces of functions and functionals, respectively.