Lipschitz domains, domains with corners and the Hodge Laplacian

Details Lipschitz domains, domains with corners and the Hodge Laplacian Lipschitz domains, domains with corners and the Hodge Laplacian

2004-08-31

arxiv.org/abs/math/0408438v1

Mathematics

Analysis of PDEs

20 pages; amstex

Scientific paper

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.

Affiliated with

Also associated with

No associations

Rating

Lipschitz domains, domains with corners and the Hodge Laplacian does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Lipschitz domains, domains with corners and the Hodge Laplacian, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Lipschitz domains, domains with corners and the Hodge Laplacian will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-689597