A Class Of Singular Semilinear Reaction Diffusion Equations Of The Cauchy Problem

This article used the theory of operator and compression mapping principle study the existence and do not existence and the uniqueness of solutions of semi-linear singular reaction diffusion system, just as: Where p>0, q>0, f1(x) and f2(x)are nonnegative continuous and bounded functions.In chapter 1,we summarize the selection background and prepare knowledge and now available fruit of semi-linear singular reaction diffusion system.In chapter 2, we summarize the functional analysis theory and the inequality theory which needed to this article research institute.Chapter 3 is composed of two sections. In section one we study the existence of the semi-linear singular reaction diffusion system. In section two, we study the do not existence of the semi-linear singular reaction diffusion system.In chapter 4, we discuss the uniqueness of solutions semi-linear singular reaction diffusion system as where. (1) p>1,q>1, (2) 01, and pq>1, (4) 01, and pq>1. It is the core of this article, this result fill the blank space of study semi-linear singular reaction diffusion system.