%0 Journal Article
%T Invariant Measures and Maximal L^2 Regularity for Nonautonomous Ornstein-Uhlenbeck Equations
%A Matthias Geissert
%A Alessandra Lunardi
%J Mathematics
%D 2008
%I arXiv
%R 10.1112/jlms/jdn009
%X We characterize the domain of the realization of the linear parabolic operator Gu := u_t + L(t)u (where, for each real t, L(t) is an Ornstein-Uhlenbeck operator), in L^2 spaces with respect to a suitable measure, that is invariant for the associated evolution semigroup. As a byproduct, we obtain optimal L^2 regularity results for evolution equations with time-depending Ornstein-Uhlenbeck operators.
%U http://arxiv.org/abs/0801.3224v1