Some variants of the classical Aubin-Lions Lemma
Analysis of PDEs
2014-12-09 v3
Abstract
This paper explores two generalizations of the classical Aubin-Lions Lemma. First we give a sufficient condition to commute weak limit and multiplication of two functions. We deduce from this criteria a compactness Theorem for degenerate parabolic equations. Secondly, we state and prove a compactness Theorem for non-cylindrical domains, including the case of dual estimates involving only divergence-free test functions.
Keywords
Cite
@article{arxiv.1401.7231,
title = {Some variants of the classical Aubin-Lions Lemma},
author = {Ayman Moussa},
journal= {arXiv preprint arXiv:1401.7231},
year = {2014}
}