On Korn-Maxwell-Sobolev Inequalities
Analysis of PDEs
2020-10-08 v1
Abstract
We establish a family of inequalities that allow one to estimate the -norm of a matrix-valued field by the -norm of an elliptic part and the -norm of the matrix-valued curl. This particularly extends previous work by Neff et al. and, as a main novelty, is applicable in the regime .
Cite
@article{arxiv.2010.03353,
title = {On Korn-Maxwell-Sobolev Inequalities},
author = {Franz Gmeineder and Daniel Spector},
journal= {arXiv preprint arXiv:2010.03353},
year = {2020}
}