Abstract
AbstractWe 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 C b(ℝd) for t > s, and describe the asymptotic behavior of G(t, s)f as t – s → ∞ in terms of a family of measures μ s , \( s \in \mathbb{R} \), solution of the associated Fokker-Planck equation.KeywordsEvolution operatorcompactnessasymptotic behavior.
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