Differential and Integral Equations

Regularity results for the blow-up time as a function of the initial data

Abstract

We study the dependence of the finite blow-up time with respect to the initial data for solutions of the equation $u_t= \Delta u^m + u^{p}$. We obtain Lipschitz continuity for a certain class of initial data and Hölder regularity for wider classes.

Article information

Source
Differential Integral Equations, Volume 17, Number 11-12 (2004), 1263-1271.

Dates
First available in Project Euclid: 21 December 2012