Bases in Sobolev Spaces on Bounded Domains with Lipschitzian Boundary
β Scribed by O. V. Matveev
- Book ID
- 110396182
- Publisher
- SP MAIK Nauka/Interperiodica
- Year
- 2002
- Tongue
- English
- Weight
- 184 KB
- Volume
- 72
- Category
- Article
- ISSN
- 0001-4346
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π SIMILAR VOLUMES
## Abstract Properties of integral operators with weak singularities arc investigated. It is assumed that __G__ β β^n^ is a bounded domain. The boundary Ξ΄__G__ should be smooth concerning the Sobolev trace theorem. It will be proved that the integral operators \documentclass{article}\pagestyle{empt
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.