Blowup at space infinity for solutions of a system of nonautonomous semilinear heat equations

Abstract

In this paper, we will see that the global or local existence of solutions to depends on the initial datums and the global or local existence of solutions to We also give some bounds for the maximal existence time of the partial differential system. Moreover, if such existence time is finite and , then we will prove the partial differential system has solutions that blows up at space infinite.