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 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 μs, s ϵ ℝ, solution of the associated Fokker-Planck equation.
Titolo: | Compactness and asymptotic behavior in nonautonomous linear parabolic equations with unbounded coefficients in ℝd |
Autori: | LUNARDI, Alessandra (Corresponding) |
Data di pubblicazione: | 2011 |
Serie: | |
Handle: | http://hdl.handle.net/11381/2885795 |
ISBN: | 978-3-0348-0074-7 978-3-0348-0075-4 |
Appare nelle tipologie: | 2.1 Contributo in volume(Capitolo di libro) |
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