Quenching phenomenon of singular parabolic problems with L1 initial data
We extend some previous existence results for quenching type parabolic problems involving a negative power of the unknown in the equation to the case of merely integrable initial data. We show that L1 Ω is the suitable framework to obtain the continuous dependence with respect to some norm of the in...
| Autores: | , , |
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| Tipo de recurso: | artículo |
| Fecha de publicación: | 2016 |
| País: | España |
| Institución: | Universidad Complutense de Madrid (UCM) |
| Repositorio: | Docta Complutense |
| Idioma: | inglés |
| OAI Identifier: | oai:docta.ucm.es:20.500.14352/24631 |
| Acceso en línea: | https://hdl.handle.net/20.500.14352/24631 |
| Access Level: | acceso abierto |
| Palabra clave: | 517.9 Free boundary L1-initial datum Quenching type parabolic equations Ecuaciones diferenciales 1202.07 Ecuaciones en Diferencias |
| Sumario: | We extend some previous existence results for quenching type parabolic problems involving a negative power of the unknown in the equation to the case of merely integrable initial data. We show that L1 Ω is the suitable framework to obtain the continuous dependence with respect to some norm of the initial datum; This way we answer to the question raised by several authors in the previous literature. We also show the complete quenching phenomena for such a L1-initial datum. |
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