Global existence and blow-up solution for doubly degenerate parabolic system with nonlocal sources and inner absorptions

Abstract

This paper deals with the following doubly degenerate parabolic systemwith null Dirichlet boundary conditions in a smooth bounded domain R N , where m, n 1, p, q 2, r 1 , r 2 , s 1 , s 2 1, ,ˇ< 0. Under appropriate hypotheses, we prove that the solution either exists globally or blows up in finite time.