Global Existence and Finite Time Blowup for a Nonlocal Parabolic System

Abstract

This paper concerns with a parabolic system coupled via nonlocal sources, subjecting to homogeneous Dirichlet boundary condition. The main aim of this paper is to study conditions on the global existence and finite time blowup of solutions. By using the super- and sub-solution techniques, the critical exponent of the system is determined. Furthermore, the related classification for the parameters in the model is optimal and complete.