Sharp rigidity estimates for incompatible fields as consequence of the Bourgain Brezis div-curl result
Analysis of PDEs
2020-09-18 v1 Mathematical Physics
Functional Analysis
math.MP
Abstract
In this note we show that a sharp rigidity estimate and a sharp Korn's inequality for matrix-valued fields whose incompatibility is a bounded measure can be obtained as a consequence of a Hodge decomposition with critical integrability due to Bourgain and Brezis.
Keywords
Cite
@article{arxiv.2009.08384,
title = {Sharp rigidity estimates for incompatible fields as consequence of the Bourgain Brezis div-curl result},
author = {Sergio Conti and Adriana Garroni},
journal= {arXiv preprint arXiv:2009.08384},
year = {2020}
}