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.
Main Authors: | , , , |
---|---|
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¶mtipus_ertek=publication¶m_ertek=588 |