2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/119839In this paper we study the quenching problem in nonlinear heat equations with power nonlinearities. For nonlinearities of power p<0 and for an open set of slowly varying initial conditions we prove that the solutions will collapse in a finite time. We find the collapse profile and estimate the remainder.33 PagesAnalysis of PDEsMathematical Physics35K57text