RT Journal Article
T1 Stability of the blow-up time and the blow-up set under perturbations
A1 Arrieta Algarra, José María
A1 Ferreira de Pablo, Raúl
A1 Pablo, Arturo de
A1 Rossi, Julio D.
AB In this paper we prove a general result concerning continuity of the blow-up time and the blow-up set for an evolution problem under perturbations. This result is based on some convergence of the perturbations for times smaller than the blow-up time of the unperturbed problem together with uniform bounds on the blow-uprates of the perturbed problems.We also present several examples. Among them we consider changing the special domain in which the heat equation with a power source takes place. We consider rather general perturbations of the domain and show the continuity of the blow- up time. Moreover, we deal with perturbations on the initial condition and on parameters in the equation. Finally, we also present some continuity results for theblow-up set
PB American Institute of Mathematical Sciences
SN 1553-5231
YR 2010
FD 2010
LK https://hdl.handle.net/20.500.14352/42005
UL https://hdl.handle.net/20.500.14352/42005
LA eng
NO UCM-Comunidad de Madrid
NO SIMUMAT-Comunidad de Madrid
NO MEC
NO UAM-Comunidad de Madrid
NO CONICET
NO SIMUMAT
NO MEC-FEDER
DS Docta Complutense
RD 12 abr 2025