Asymptotic behavior and hypercontractivity in non-autonomous Ornstein-Uhlenbeck equations
Asymptotic behavior and hypercontractivity in non-autonomous Ornstein-Uhlenbeck equations
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.