H2-boundedness of the pullback attractor for a non-nutonomous reaction-diffusion equation
We prove some regularity results for the pullback attractor of a reaction-diffusion model. First we establish a general result about H2-boundedness of invariant sets for an evolution process. Then, as a consequence, we deduce that the pullback attractor of a non-autonomous reaction-diffusion equatio...
| Autores: | , , |
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| Tipo de recurso: | artículo |
| Fecha de publicación: | 2010 |
| País: | España |
| Institución: | Universidad de Sevilla (US) |
| Repositorio: | idUS. Depósito de Investigación de la Universidad de Sevilla |
| OAI Identifier: | oai:idus.us.es:11441/23675 |
| Acceso en línea: | http://hdl.handle.net/11441/23675 https://doi.org/10.1016/j.na.2009.07.027 |
| Access Level: | acceso abierto |
| Palabra clave: | Reaction-diffusion equations non-autonomous (pullback) attractors invariant sets H2-regularity |
| Sumario: | We prove some regularity results for the pullback attractor of a reaction-diffusion model. First we establish a general result about H2-boundedness of invariant sets for an evolution process. Then, as a consequence, we deduce that the pullback attractor of a non-autonomous reaction-diffusion equation is bounded not only in L2 () \ H1 0 () but in H2 (). |
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