Regularity of the Solutions for Elliptic Problems on Nonsmooth Domains in R3. Part 2: Regularity in Neighborhoods of Edges.
MARYLAND UNIV COLLEGE PARK INST FOR PHYSICAL SCIENCE AND TECHNOLOGY
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This paper is the second in a series of three devoted to the analysis of regularity of solutions of elliptic problems on nonsmooth domains in R3. The present paper concentrates on the regularity of solution of Poisson equation in neighborhoods of edges of a polyhedral domain in the frame of the weighted Sobolev spaces and countably normed spaces. These results can be generalized to elliptic problems arising form mechanics and engineering for instance, the elasticity problem on polyhedral domains.
- Numerical Mathematics