Biblioteca de la Universidad Complutense de Madrid

Stability of the blow-up time and the blow-up set under perturbations

Impacto



Arrieta Algarra, José María y Ferreira de Pablo, Raúl y Pablo, Arturo de y Rossi, Julio D. (2010) Stability of the blow-up time and the blow-up set under perturbations. Discrete and Continuous Dynamical Systems. Series A., 26 (1). pp. 43-61. ISSN 1553-5231

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Resumen

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-up
rates 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 the
blow-up set


Tipo de documento:Artículo
Palabras clave:Stability; Blow-up; Perturbations; Perturbations of the domain; Perturbations of parameters; Blow-up rates; Perturbations on the initial condition
Materias:Ciencias > Matemáticas > Análisis funcional y teoría de operadores
Código ID:13936
Depositado:23 Nov 2011 15:21
Última Modificación:06 Feb 2014 09:56

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