Global Existence and Uniqueness of Solutions to Evolution p-Laplacian Systems with Nonlinear Sources  

作　　者：WEI Yingjie GAO Wenjie 

机构地区：[1]Institute of Mathematics, Jilin University, Changchun 130012, China.

出　　处：《Journal of Partial Differential Equations》2013年第1期1-13,共13页偏微分方程（英文版）

摘　　要：This paper presents the global existence and uniqueness of the initial and boundary value problem to a system of evolution p-Laplacian equations coupled with general nonlinear terms. The authors use skills of inequality estimation and the method of regularization to construct a sequence of approximation solutions, hence obtain the global existence of solutions to a regularized system. Then the global existence of solu- tions to the system of evolution p-Laplacian equations is obtained with the application of a standard limiting process. The uniqueness of the solution is proven when the nonlinear terms are local Lipschitz continuous.

关 键 词：GLOBAL EXISTENCE UNIQUENESS DEGENERATE P-LAPLACIAN systems 

分 类 号：O175.29[理学—数学] O175.4[理学—基础数学]