Resumen de Asymptotic behavior and hypercontractivity in non-autonomous Ornstein�Uhlenbeck equations

Matthias Geissert, Alessandra Lunardi

• In this paper we investigate a class of non-autonomous 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