In this paper, we investigate the positive solution of nonlinear degenerate equation ut = f (u)( u +
a(x) Ω udx) with Dirichlet boundary condition. The blow-up criteria is obtained. Furthermore, we prove
that under certain conditions, the solutions have global blow-up. When f (u) = up, 0
Keywords :
Degenerate parabolic equation , Nonlocal source , global existence , Global blow-up