%0 Journal Article
%A Arrieta Algarra, José María
%A Ferreira de Pablo, Raúl
%A Pablo, Arturo de
%A Rossi, Julio D.
%T Stability of the blow-up time and the blow-up set under perturbations
%D 2010
%@ 1553-5231
%U https://hdl.handle.net/20.500.14352/42005
%X 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
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