Uniqueness of integrable solutions to first order systems with integrable tensor-coefficients and applications to elasticity
Analysis of PDEs
2015-06-11 v1
Abstract
For a Lipschitz domain we show that solutions of certain first order systems are unique. This result is then applied to prove a crucial step for showing Korn's first inequality as well as to prove the 'infinitesimal rigid displacement lemma in curvilinear coordinates'.
Keywords
Cite
@article{arxiv.1209.3388,
title = {Uniqueness of integrable solutions to first order systems with integrable tensor-coefficients and applications to elasticity},
author = {Johannes Lankeit and Patrizio Neff and Dirk Pauly},
journal= {arXiv preprint arXiv:1209.3388},
year = {2015}
}