Regularity results for the blow-up time as a function of the initial data
Manuela Yuste Chaves, Julio Daniel Rossi · Differential and Integral Equations · 2004
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.