| Título: | A nonlinear nonlocal wave-equation arising in combustion theory |
| Autores: | Herrero, Miguel A. ; Friedman, Avner |
| Tipo de documento: | texto impreso |
| Editorial: | Pergamon-Elsevier Science, 1990-01 |
| Dimensiones: | application/pdf |
| Nota general: | info:eu-repo/semantics/restrictedAccess |
| Idiomas: | |
| Palabras clave: | Estado = Publicado , Materia = Ciencias: Matemáticas: Ecuaciones diferenciales , Tipo = Artículo |
| Resumen: |
The initial value problem for the equation (?2 / ?t2 ? ?2 / ?x2) ?T / ?t = (? ?2 / ?t ? ?2 / ?x2) eT, ?>1, is considered. It is proved that under some restrictions on the initial data there is a curve, denoted by t=??(x), which is positive, Lipschitz continuous, and satisfies |???(x)|0. The case of ?=1 is also studied. The solution for ?=1 blows up on t = ?¯¯ (x), and it is proved that under certain conditions the solutions for ?>1 converge to the one for ?=1 as ??1 and lim?inf ??1 ? ? (x)??¯¯(x). |
| En línea: | https://eprints.ucm.es/id/eprint/17295/1/Herrero50.pdf |
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