A Class Of Singular Semi-linear Reaction-diffusion Equations Solution

This paper mainly used the theory of Semigrap of operator to discuss the existence and the Blow-up problem of a series of Singular Semilinear Reaction-diffusion Equations. Namely: whereσ>0 andσ≠1; 0<p,<1, q(?)> 1;α(?)> 0,f(?)(x)(i= 1,2) are continuous bounded functions, nonnegative and (f1(x),f2(x)(?)(0,0),△is N dimension laplace operator. and we will get the following results(1) Supposed that 0<p1q2<1,N(q2-1)/2≤1.Then the solution of the system of equations (1) exist solutions, and its solutions. Among them, A and B are constants.(2) Supposed that Then the solution of the system of equations (1) will be blow-up in finite time.