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-boundedness of the pullback attractor for a non-autonomous reaction–diffusion equation

✍ Scribed by M. Anguiano; T. Caraballo; J. Real

Publisher
Elsevier Science
Year
2010
Tongue
English
Weight
397 KB
Volume
72
Category
Article
ISSN
0362-546X

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✦ Synopsis

We prove some regularity results for the pullback attractor of a reaction-diffusion model. First we establish a general result about H 2 -boundedness of invariant sets for an evolution process. Then, as a consequence, we deduce that the pullback attractor of a nonautonomous reaction-diffusion equation is bounded not only in L 2 (Ω) ∩ H 1 0 (Ω) but also in H 2 (Ω).

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