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polyharmonic Dirichlet problems in regular domains II: The upper half plane

✍ Scribed by Zhihua Du; Tao Qian; Jinxun Wang


Book ID
113699202
Publisher
Elsevier Science
Year
2012
Tongue
English
Weight
245 KB
Volume
252
Category
Article
ISSN
0022-0396

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Dirichlet Problems in Polyhedral Domains
✍ Jean Mbaro-Saman Lubuma; Serge Nicaise πŸ“‚ Article πŸ“… 2006 πŸ› John Wiley and Sons 🌐 English βš– 771 KB

## 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