Regularity and well posedness for the Laplace operator on polyhedral domains

Constantin Bacuta; Ludmil Zikatanov; Victor Nistor

arxiv: math/0410207 · v1 · submitted 2004-10-07 · 🧮 math.AP · math.NA

Regularity and well posedness for the Laplace operator on polyhedral domains

Constantin Bacuta , Victor Nistor , Ludmil Zikatanov This is my paper

classification 🧮 math.AP math.NA

keywords boundarydomainslaplacepolyhedralannounceconditionsdetaileddimensions

0 comments

read the original abstract

We announce a well-posedness result for the Laplace equation in weighted Sobolev spaces on polyhedral domains in $\RR^n$ 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.

This paper has not been read by Pith yet.

Regularity and well posedness for the Laplace operator on polyhedral domains

discussion (0)