Existence and Uniqueness of Global Solution for Certain Degenerate Reaction-Diffusion Systems

作     者：Lu Guo-fu(Math. Dept. , Fu Qing Branch of F’u Jian Normal Univ. ) 

作者机构：Math.Dept.FuQingBranchofFuJianNormalUniv. 

出 版 物：《福建师大福清分校学报》 (Journal of Fuqing Branch of Fujian Normal University)

年 卷 期：1993年第11卷第1期

页      面：113-128,112页

学科分类：07[理学] 070102[理学-计算数学] 0701[理学-数学] 

基　　金：Research supported by the Natural Science Foundation of Fujian Province Under Grant A92025 

主　　题：退化反应扩散方程组 解 唯一性 存在性 

摘      要：In this paper we discuss the following nonlinear degenerate parabolic systems u_i=△a_i(u_i)+b_i(x,t,u_i)Du_i+f_i(x,t,u)for i = 1,2, …, m and u = (u_1,…, u_m) is a vector function, with Dirichlet boundary condition. Under some structure conditions on a_i,b_i and f_i and initial data u_i^o∈Li(Ω) for some pip_i^o = 1,2,…,m, the result on existence and uniquence of global solution is established.