Regularity and well posedness for the Laplace operator on polyhedral domains
Constantin Bacuta, Victor Nistor, Ludmil Zikatanov
Abstract
We announce a well-posedness result for the Laplace equation in weighted Sobolev spaces on polyhedral domains in n with Dirichlet boundary conditions. The weight is the distance to the set of singular boundary points. We give a detailed sketch of the proof in three dimensions.
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