Asymptotic behavior of solutions to nonlinear parabolic equations with nonlocal terms

Article type: Research Article

Authors: Zheng, Songmu | Chipot, Michel

Affiliations: Institute of Mathematics, Fudan University, Shanghai 200433, P.R. of China E-mail: songmuzheng@yahoo.com | Institute of Mathematics, University of Zurich, Winterthurestr. 190, CH-8057, Zurich, Switzerland E-mail: chipot@amath.unizh.ch

Abstract: In this paper the asymptotic behavior of the solutions, as time goes to infinity, to nonlinear parabolic equations with two classes of nonlocal terms is investigated. One of important features of our problems is that equilibria may be a continuum which is diffeomorphic to a piece of curve in R2.

Keywords: nonlinear parabolic equations, nonlocal term, asymptotic behavior

Journal: Asymptotic Analysis, vol. 45, no. 3-4, pp. 301-312, 2005