On refined blowup estimates for the exponential reaction-diffusion equation

Abstract

We consider radial decreasing solutions of the semilinear heat equation with exponential nonlinearity. We provide a relatively simple proof of the sharp upper estimates for the final blowup profile and for the refined space-time behavior. We actually establish a global, upper space-time estimate, which contains those of the final and refined profiles as special cases.

References in corpus (1)

• Blow-up profiles for the parabolic-elliptic Keller-Segel system in dimensions $n\ge 3$