Periodic solutions of a quasilinear parabolic equation with nonlinear convection terms

Advances in Difference Equations

Songsong Li¹ 

[1] School of Management, Harbin Institute of Technology, Harbin, China

关键词: Positive Constant;    Generalize Solution;    Periodic Solution;    Parabolic Equation;    Dirichlet Boundary;   

DOI  :  10.1186/1687-1847-2012-206

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

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.

【 授权许可】

CC BY