Global existence and blow-up for a parabolic system with nonlocal sources

摘要

This paper deals with the global existence and the blow-up properties of the nonnegative solutions to a semilinear parabolic system with nonlocal sources, subjected to null Dirichlet boundary conditions. By using the upper-lower solution method, the sufficient conditions on the global existence and blow-up in finite time of the nonnegative solutions are obtained.