Compactness and asymptotic behavior in nonautonomous linear parabolic equations with unbounded coefficients in $\R^d$
Analysis of PDEs
2010-06-09 v1
Abstract
We consider a class of second order linear nonautonomous parabolic equations in R^d with time periodic unbounded coefficients. We give sufficient conditions for the evolution operator G(t,s) be compact in C_b(R^d) 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 mu_s, s in R, solution of the associated Fokker-Planck equation.
Keywords
Cite
@article{arxiv.1006.1530,
title = {Compactness and asymptotic behavior in nonautonomous linear parabolic equations with unbounded coefficients in $\R^d$},
author = {Alessandra Lunardi},
journal= {arXiv preprint arXiv:1006.1530},
year = {2010}
}