A compactness tool for the analysis of nonlocal evolution equations
Analysis of PDEs
2015-01-06 v3
Abstract
In this paper we give a new compactness criterion in the Lebesgue spaces and use it to obtain the first term in the asymptotic behaviour of the solutions of a nonlocal convection diffusion equation. We use previous results of Bourgain, Brezis and Mironescu to give a new criterion in the spirit of the Aubin-Lions-Simon Lemma.
Keywords
Cite
@article{arxiv.1301.6019,
title = {A compactness tool for the analysis of nonlocal evolution equations},
author = {Liviu I. Ignat and Tatiana I. Ignat and Denisa Stancu-Dumitru},
journal= {arXiv preprint arXiv:1301.6019},
year = {2015}
}