On refined blowup estimates for the exponential reaction-diffusion equation

Autor: Souplet, Philippe
Rok vydání: 2021
Předmět:
Druh dokumentu: Working Paper
DOI: 10.1007/s42985-022-00152-9
Popis: 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.
Databáze: arXiv