| Título: | Stability of the blow-up time and the blow-up set under perturbations |
| Autores: | Arrieta Algarra, José María ; Ferreira de Pablo, Raúl ; Pablo, Arturo de ; Rossi, Julio D. |
| Tipo de documento: | texto impreso |
| Editorial: | American Institute of Mathematical Sciences, 2010 |
| Dimensiones: | application/pdf |
| Nota general: | info:eu-repo/semantics/openAccess |
| Idiomas: | |
| Palabras clave: | Estado = Publicado , Materia = Ciencias: Matemáticas: Análisis funcional y teoría de operadores , Tipo = Artículo |
| 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 |
| En línea: | https://eprints.ucm.es/id/eprint/13936/1/2008stabilyti-07.pdf |
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