Asymptotic behavior in time periodic parabolic problems with unbounded coefficients |
| |
Authors: | Luca Lorenzi Alessandra Lunardi |
| |
Affiliation: | Dipartimento di Matematica, Università di Parma, Parco Area delle Scienze, 53/A, I-43124 Parma, Italy |
| |
Abstract: | We study asymptotic behavior in a class of nonautonomous second order parabolic equations with time periodic unbounded coefficients in R×Rd. 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−ut in suitable Lp spaces. |
| |
Keywords: | 47D06 47F05 35B65 |
本文献已被 ScienceDirect 等数据库收录! |