## Abstract We study in detail HodgeโHelmholtz decompositions in nonsmooth exterior domains ฮฉโโ^__N__^ filled with inhomogeneous and anisotropic media. We show decompositions of alternating differential forms of rank __q__ belonging to the weighted L^2^โspace L~__s__~^2, __q__^(ฮฉ), __s__โโ, into ir
Weighted Anisotropic Sobolev Spaces on Domains: Extensions and Traces
โ Scribed by Hans Triebel
- Publisher
- John Wiley and Sons
- Year
- 1984
- Tongue
- English
- Weight
- 487 KB
- Volume
- 119
- Category
- Article
- ISSN
- 0025-584X
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๐ SIMILAR VOLUMES
In this paper we study an elliptic linear operator in weighted Sobolev spaces and show existence and uniqueness theorems for the Dirichlet problem when the coefficients are given in suitable spaces of Morrey type, improving the previous results known in the literature.
## Abstract We determine the trace of Besov spaces \documentclass{article}\usepackage{amssymb}\pagestyle{empty}\begin{document}$\mathfrak {B}^s\_{p,q}(\Omega )$\end{document} and TriebelโLizorkin spaces \documentclass{article}\usepackage{amssymb}\pagestyle{empty}\begin{document}$\mathfrak {F}^s\_{p
## Abstract Properties of integral operators with weak singularities arc investigated. It is assumed that __G__ โ โ^n^ is a bounded domain. The boundary ฮด__G__ should be smooth concerning the Sobolev trace theorem. It will be proved that the integral operators \documentclass{article}\pagestyle{empt