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Besov Regularity for Interface Problems
Author(s) -
Dahlke S.
Publication year - 1999
Publication title -
zamm ‐ journal of applied mathematics and mechanics / zeitschrift für angewandte mathematik und mechanik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 51
eISSN - 1521-4001
pISSN - 0044-2267
DOI - 10.1002/(sici)1521-4001(199906)79:6<383::aid-zamm383>3.0.co;2-b
Subject(s) - besov space , smoothness , mathematics , computer science , mathematical analysis , interpolation space , biochemistry , chemistry , functional analysis , gene
This paper is concerned with the Besov regularity of the solutions to interface problems in a sector S of the unit disc in R 2 . We investigate the smoothness of the solutions as measured in the specific scale B s τ ( L τ ( S )), 1/ τ = s /2 + 1/ p , of Besov spaces which determines the order of approximation that can be achieved by adaptive and nonlinear numerical schemes. The proofs are based on representations of the solution spaces which were derived by K ellogg [15] and on characterizations of Besov spaces by wavelet expansions.