Resumen de Invariant measures and maximal L2 regularity for nonautonomous Ornstein�Uhlenbeck equations

Matthias Geissert, Alessandra Lunardi

• We characterize the domain of the realizations of a linear parabolic operator defined in L2 spaces with respect to a suitable measure that is invariant for the associated evolution semigroup. As a byproduct, we obtain optimal L2 regularity results for evolution equations with time-dependant Ornstein�Uhlenbeck operators.