Local existence and uniqueness of solutions of a degenerate parabolic system

Advances in Difference Equations

Jiebao Sun¹  Dazhi Zhang¹  Boying Wu¹ 

[1] Department of Mathematics, Harbin Institute of Technology, Harbin, PR China

关键词: Existence;    Uniqueness;    Degenerate;    Monotone iteration;   

DOI  :  10.1186/1687-1847-2011-12

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

This article deals with a degenerate parabolic system coupled with general nonlinear terms. Using the method of regularization and monotone iteration technique, we obtain the local existence of solutions to the Dirichlet initial boundary value problem. We also establish the uniqueness of the solution if the reaction terms satisfy the Lipschitz condition.

【 授权许可】

CC BY