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polyharmonic Dirichlet problems in regular domains IV: The upper-half space

โœ Scribed by Du, Zhihua; Qian, Tao; Wang, Jinxun


Book ID
120710601
Publisher
Elsevier Science
Year
2013
Tongue
English
Weight
752 KB
Volume
255
Category
Article
ISSN
0022-0396

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Dirichlet Problems in Polyhedral Domains
โœ Jean Mbaro-Saman Lubuma; Serge Nicaise ๐Ÿ“‚ Article ๐Ÿ“… 2006 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 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