Artículo
H2-boundedness of the pullback attractor for a non-nutonomous reaction-diffusion equation
Autor/es | Anguiano Moreno, María
Caraballo Garrido, Tomás Real Anguas, José |
Departamento | Universidad de Sevilla. Departamento de Ecuaciones Diferenciales y Análisis Numérico |
Fecha de publicación | 2010 |
Fecha de depósito | 2015-04-08 |
Publicado en |
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Resumen | 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 ... 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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