Article
H2-boundedness of the pullback attractor for a non-nutonomous reaction-diffusion equation
Author/s | Anguiano Moreno, María
![]() ![]() ![]() ![]() ![]() ![]() ![]() Caraballo Garrido, Tomás ![]() ![]() ![]() ![]() ![]() ![]() ![]() Real Anguas, José |
Department | Universidad de Sevilla. Departamento de Ecuaciones Diferenciales y Análisis Numérico |
Date | 2010 |
Published in |
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Abstract | 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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