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

Global existence of solutions for a nonlocal diffusion system with a reaction term and a Dirichlet boundary condition

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.

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.