Compactness and asymptotic behavior in nonautonomous linear parabolic equations with unbounded coefficients in d
Abstract
We consider a class of second order linear nonautonomous parabolic equations in Rd with time periodic unbounded coefficients. We give sufficient conditions for the evolution operator G(t,s) be compact in Cb(Rd) for t>s, and describe the asymptotic behavior of G(t,s)f as t-s goes to infinity in terms of a family of measures mus, s in R, solution of the associated Fokker-Planck equation.
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