a1 School of Mathematics and Statistics, Southwest University, Chongqing 400715, People's Republic of China
a2 College of Mathematics and Physics, Chongqing University, Chongqing 400044, People's Republic of China
In this paper, we deal with the non-negative solutions of a degenerate parabolic system with nonlinear coupled boundary conditions and non-negative non-trivial compactly supported initial data. The critical Fujita exponents are given and the blow-up rates of the non-global solution are obtained.
(Received November 10 2005)
p2 Present address: Department of Mathematics, Sichuan University, Chengdu 610064, People's Republic of China.