Friedrichs type inequalities in arbitrary domains
Analysis of PDEs
2020-12-01 v1 Functional Analysis
Abstract
First and second-order inequalities of Friedrichs type for Sobolev functions in arbitrary domains are offered. The relevant inequalities involve optimal norms and constants that are independent of the geometry of the domain. Parallel inequalities for symmetric gradient Sobolev spaces of vector-valued functions are also presented. The results are derived via general criteria established in our earlier contributions [4] and [5].
Cite
@article{arxiv.2011.14699,
title = {Friedrichs type inequalities in arbitrary domains},
author = {Andrea Cianchi and Vladimir Maz'ya},
journal= {arXiv preprint arXiv:2011.14699},
year = {2020}
}