Periodic solutions of a quasilinear parabolic equation with nonlinear convection terms
Songsong Li, Xiaofeng Hui · Advances in Difference Equations · 2012
In this paper, we study a periodic quasilinear parabolic equation with nonlinear convection terms and weakly nonlinear sources. Based on the theory of the Leray-Schauder fixed point theorem, we establish the existence of periodic solutions when the domain of the solution is sufficiently small.