Asymptotic behavior and hypercontractivity in nonautonomous Ornstein-Uhlenbeck equations
Analysis of PDEs
2014-02-26 v1
Abstract
In this paper we investigate a class of nonautonomous linear parabolic problems with time depending Ornstein-Uhlenbeck operators. We study the asymptotic behavior of the associated evolution operator and evolution semigroup in the periodic and non-periodic situation. Moreover, we show that the associated evolution operator is hypercontractive.
Keywords
Cite
@article{arxiv.0803.2648,
title = {Asymptotic behavior and hypercontractivity in nonautonomous Ornstein-Uhlenbeck equations},
author = {Matthias Geissert and Alessandra Lunardi},
journal= {arXiv preprint arXiv:0803.2648},
year = {2014}
}