Asymptotic Behavior and Hypercontractivity in Nonautonomous Ornstein-uhlenbeck Equations
نویسندگان
چکیده
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.
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تاریخ انتشار 2008