A gradient estimate to a degenerate parabolic equation with a singular absorption term: The global quenching phenomena
We prove global existence of nonnegative solutions to the one dimensional degenerate parabolic problems containing a singular term. We also show the global quenching phenomena for L1 initial datums. Moreover, the free boundary problem is considered in this paper.
| 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:20.500.14352/24481 |
| Acceso en línea: | https://hdl.handle.net/20.500.14352/24481 |
| Access Level: | acceso abierto |
| Palabra clave: | 517.9 Degenerate parabolic equations Gradient estimate Quenching phenomenon L1-initial datum Free boundary Ecuaciones diferenciales 1202.07 Ecuaciones en Diferencias |
| Sumario: | We prove global existence of nonnegative solutions to the one dimensional degenerate parabolic problems containing a singular term. We also show the global quenching phenomena for L1 initial datums. Moreover, the free boundary problem is considered in this paper. |
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