Regularity and well posedness for the Laplace operator on polyhedral domains
Analysis of PDEs
2007-05-23 v1 Numerical Analysis
Abstract
We announce a well-posedness result for the Laplace equation in weighted Sobolev spaces on polyhedral domains in 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.
Cite
@article{arxiv.math/0410207,
title = {Regularity and well posedness for the Laplace operator on polyhedral domains},
author = {Constantin Bacuta and Victor Nistor and Ludmil Zikatanov},
journal= {arXiv preprint arXiv:math/0410207},
year = {2007}
}