Besov Regularity for Interface Problems
Stephan Dahlke · ZAMM ‐ Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik · 1999
This paper is concerned with the Besov regularity of the solutions to interface problems in a sector S of the unit disc in R2. We investigate the smoothness of the solutions as measured in the specific scale Bsτ(Lτ(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 Kellogg [15] and on characterizations of Besov spaces by wavelet expansions.