Bounds for the blowup time and blowup rate estimates for a type of parabolic equations with weighted source

摘要

In this paper, we will consider the blowup phenomena for a type of parabolic equations with weighted nonlinear source. We obtain the estimates of the blowup rate and the bounds for blowup time of the solution to the problem in any smooth bounded domain Ω⊂Rn(n⩾3). In some special cases, we can even get the exact values of blowup rate and blowup time.