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math.AP2008★ 24 cited
Asymptotic behavior and hypercontractivity in nonautonomous Ornstein-Uhlenbeck equations
Matthias Geissert, Alessandra Lunardi
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…
math.AP2008★ 25 cited
Invariant Measures and Maximal L^2 Regularity for Nonautonomous Ornstein-Uhlenbeck Equations
Matthias Geissert, Alessandra Lunardi
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 wit…