On the finite dimension of attractors of parabolic problems in IRN with general potentials
We prove that compact attractors of nonlinear parabolic problems with general potentials have finite fractal and Haussdorf dimension. The linear potentials belong to the space of locally uniform functions in and, unlike other references, they are allowed to change sign.
| Autores: | , , |
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| Tipo de recurso: | artículo |
| Fecha de publicación: | 2008 |
| País: | España |
| Institución: | Universidad Complutense de Madrid (UCM) |
| Repositorio: | Docta Complutense |
| Idioma: | inglés |
| OAI Identifier: | oai:docta.ucm.es:20.500.14352/49724 |
| Acceso en línea: | https://hdl.handle.net/20.500.14352/49724 |
| Access Level: | acceso abierto |
| Palabra clave: | 517.9 Attractors Finite dimension Unbounded domain Uniform differentiability Ecuaciones diferenciales 1202.07 Ecuaciones en Diferencias |
| Sumario: | We prove that compact attractors of nonlinear parabolic problems with general potentials have finite fractal and Haussdorf dimension. The linear potentials belong to the space of locally uniform functions in and, unlike other references, they are allowed to change sign. |
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