%0 Journal Article
%T Dirichlet边界条件下带有反应项的非局部扩散方程组解的全局存在<br>Global existence of solutions for a nonlocal diffusion system with a reaction term and a Dirichlet boundary condition
%A 张敏华
%A 曾有栋
%J 福州大学学报(自然科学版)
%D 2015
%R 10.7631/issn.1000-2243.2015.06.0727
%X 为研究在Dirichlet边界条件下带有反应项的非局部扩散方程组解的相关性质. 利用Banach不动点定理证明了方程组解的局部存在性和唯一性、并建立比较原理，得到在一定条件下方程组的解全局存在.<br>This paper dealt with a nonlocal diffusion system with a reaction term and a Dirichlet boundary condition. We prove the local existence and uniquence via Banach fixed point theorem.And comparison principle is established. Finally，we analyze the global existence of solutions under certain condition
%K 反应项 非局部扩散 Dirichlet边界条件 全局存在&lt
%K br&gt
%K reaction term nonlocal diffusion Dirichlet bounday condition global existence
%U http://xbzrb.fzu.edu.cn/ch/reader/view_abstract.aspx?file_no=20150601&flag=1