Time periodic solutions for a viscous diffusion equation with nonlinear periodic sources

In this paper, we prove the existence of nontrivial nonnegative classical time periodic solutions to the viscous diffusion equation with strongly nonlinear periodic sources. Moreover, we also discuss the asymptotic behavior of solutions as the viscous coefficient $k$ tends to zero.

Bibliographic Details
Main Authors: Yinghua Li, Yang Cao, Jingxue Yin, Yifu Wang
Format: Article
Language:English
Published: University of Szeged 2011-02-01
Series:Electronic Journal of Qualitative Theory of Differential Equations
Online Access:http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1&paramtipus_ertek=publication&param_ertek=588