-regularity in the Dirichlet problem for
β Scribed by Rahul Jain; B.R. Nagaraj
- Book ID
- 108077042
- Publisher
- Elsevier Science
- Year
- 2007
- Tongue
- English
- Weight
- 344 KB
- Volume
- 53
- Category
- Article
- ISSN
- 0898-1221
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π SIMILAR VOLUMES
For the Tricomi equation with Dirichlet boundary conditions, we study the relationship between singularites at the boundary and singularities in the interior of a bounded planar region with smooth non-characteristic boundary. Necessary and sufficient conditions for interior smoothness are stated in
## Abstract The solution of the Dirichlet problem relative to an elliptic operator in a polyhedron has a complex singular behaviour near edges and vertices. Here we show that this solution and its conormal derivative have a global regularity in appropriate weighted Sobolev spaces. We also investiga