Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
842093 | Nonlinear Analysis: Theory, Methods & Applications | 2010 | 5 Pages |
Abstract
We prove some regularity results for the pullback attractor of a reaction–diffusion model. First we establish a general result about H2H2-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(Ω)∩H01(Ω) but also in H2(Ω)H2(Ω).
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Authors
M. Anguiano, T. Caraballo, J. Real,