Asymptotic Behavior Of Solutions To A Parabolic System With Localized-Local Sources

In this paper,we study a parabolic equation system with the interaction coupled via the localized and local sources.Under the condition of p＞1,q＞O,the critical exponents of the system were established,as well as the blow-up rates were obtained.we give the background of the parabolic system in the introduction,and review some badic knowledge of the parabolic equation(system) in Chapter 2.In Chapter 3,we get the global existence and blow-up criteria for the solutions.In Chapter 4,we study the singularity more deeply to get uniform blow-up rate.