arXiv subjects

Tatiana I. Ignat

Publications and source records attributed to Tatiana I. Ignat.

2 recordsLinked to original sources

arXiv2015

A compactness tool for the analysis of nonlocal evolution equations

In this paper we give a new compactness criterion in the Lebesgue spaces $L^p((0,T)\times Ω)$ 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.

math.AP↗

arXiv2012

Asymptotics for nonlocal evolution problems by scaling arguments

In this paper we consider a nonlocal evolution problem and obtain by a scaling method the first term in the asymptotic behavior of the solutions. The method employed treats in different way the smooth and the rough part of the solution.

math.AP↗