Asymptotic behavior in time periodic parabolic problems with unbounded coefficients

JOURNAL OF DIFFERENTIAL EQUATIONS

卷:249

Article

Lorenzi, Luca¹  Lunardi, Alessandra¹  Zamboni, Alessandro¹ 

[1] Univ Parma, Dipartimento Matemat, I-43124 Parma, Italy

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

DOI  :  10.1016/j.jde.2010.08.019

来源: Elsevier

【 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.

【 授权许可】

Free