Asymptotic behavior in time periodic parabolic problems with unbounded coefficients

[摘要] We study asymptotic behavior in a class of nonautonomous second order parabolic equations with time periodic unbounded coefficients in R x R-d. Our results generalize and improve asymptotic behavior results for Markov semigroups having an invariant measure. We also study spectral properties of the realization of the parabolic operator u -> A(t)u - u(t) in suitable L-P spaces. (C) 2010 Elsevier Inc. All rights reserved.

[发布日期] 2010-12-15

[关键词] Nonautonomous PDEs;Unbounded coefficients;Asymptotic behavior;Invariant measures;Spectral gap