Dirichlet Problems in Polyhedral Domains
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Jean Mbaro-Saman Lubuma; Serge Nicaise
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Article
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2006
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John Wiley and Sons
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English
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## 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