Pullback Attractors for a Semilinear Heat Equation In a Non-Cylindrical Domain
The existence and uniqueness of a variational solution satisfying energy equality is proved for a semilinear heat equation in a non-cylindrical domain with homogeneous Dirichlet boundary condition, under the assumption that the spatial domains are bounded and increase with time. In addition, the non...
| Autores: | , , |
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| Tipo de recurso: | artículo |
| Estado: | Versión enviada para evaluación y publicación |
| Fecha de publicación: | 2008 |
| País: | España |
| Institución: | Universidad de Sevilla (US) |
| Repositorio: | idUS. Depósito de Investigación de la Universidad de Sevilla |
| OAI Identifier: | oai:idus.us.es:11441/25941 |
| Acceso en línea: | http://hdl.handle.net/11441/25941 https://doi.org/10.1016/j.jde.2007.10.031 |
| Access Level: | acceso abierto |
| Palabra clave: | Semilinear heat equations Non-cylindrical domains Non-autonomous dynamical system Pullback attractor |
| Sumario: | The existence and uniqueness of a variational solution satisfying energy equality is proved for a semilinear heat equation in a non-cylindrical domain with homogeneous Dirichlet boundary condition, under the assumption that the spatial domains are bounded and increase with time. In addition, the non-autonomous dynamical system generated by this class of solutions is shown to have a global pullback attractor. |
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