On refined blowup estimates for the exponential reaction-diffusion equation
Analysis of PDEs
2025-04-30 v1
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.
Cite
@article{arxiv.2110.08026,
title = {On refined blowup estimates for the exponential reaction-diffusion equation},
author = {Philippe Souplet},
journal= {arXiv preprint arXiv:2110.08026},
year = {2025}
}