Null-Sets Criteria for Weighted Sobolev Spaces
β Scribed by I. N. Demshin; Yu. V. Dymchenko; V. A. Shlyk
- Book ID
- 111551646
- Publisher
- Springer US
- Year
- 2003
- Tongue
- English
- Weight
- 254 KB
- Volume
- 118
- Category
- Article
- ISSN
- 1573-8795
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π SIMILAR VOLUMES
Several approaches to solving elliptic problems numerically are based on hierarchical Riesz bases in Sobolev spaces. We are interested in determining the exact range of Sobolev exponents for which a system of compactly supported functions derived from a multiresolution analysis forms such a Riesz ba
We prove a regularity result for the Poisson problem ΓDu ΒΌ f , uj oP ΒΌ g on a polyhedral domain P & R 3 using the Babus Λka-Kondratiev spaces K m a Γ°PΓ. These are weighted Sobolev spaces in which the weight is given by the distance to the set of edges [4,33]. In particular, we show that there is no