Besov regularity for elliptic boundary value problems
- 1 January 1997
- journal article
- research article
- Published by Taylor & Francis in Communications in Partial Differential Equations
- Vol. 22 (1) , 1-16
- https://doi.org/10.1080/03605309708821252
Abstract
This paper studies the regularity of solutions to boundary value problems forLaplace's equation on LipschitzdomainsOmegain Rdand its relationship with adaptiveand other nonlinear methods for approximating these solutions. The smoothnessspaces which determine the efficiency of such nonlinear approximation in L p(OmegaGammaare the Besov spaces Bff?(L ?(OmegaGamma16 ? := (ff=d + 1=p)Gamma1. Thus, the regularity of thesolution in this scale of Besov spaces is investigated ...Keywords
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