Lipschitz domains, domains with corners and the Hodge Laplacian
Analysis of PDEs
2007-05-23 v1 Differential Geometry
Abstract
We define self-adjoint extensions of the Hodge Laplacian on Lipschitz domains in Riemannian manifolds, corresponding to either the absolute or the relative boundary condition, and examine regularity properties of these operators' domains and form domains. We obtain results valid for general Lipschitz domains, and stronger results for a special class of ``almost convex'' domains, which apply to domains with corners.
Cite
@article{arxiv.math/0408438,
title = {Lipschitz domains, domains with corners and the Hodge Laplacian},
author = {Marius Mitrea and Michael Taylor and Andras Vasy},
journal= {arXiv preprint arXiv:math/0408438},
year = {2007}
}
Comments
20 pages; amstex