KaiJun Zhang(1),LiangTao Wang(
This paper is concerned with the L p global solutions and blow up problem in a finite time for the reaction diffusion system of Fujita typeu t-Δu=α 1|u| q1-1 u+β 1 |v| p1-1 v, v t-Δ v=α 2 |u| q2-1 u+β 2 |v| p2-1 v,(x∈R N, t>0), u(x,0)=u 0 (x)0, v(x,0) =v 0 (x) 0, (x∈R N)where q i>1 , p i>1 ( i=1,2) , α 1 0 , α 2>0 , β 1>0 , β 2 0 , 1 p+∞ .