Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
841724 | Nonlinear Analysis: Theory, Methods & Applications | 2010 | 5 Pages |
Abstract
Some exponential growth results for the pullback attractor of a reaction–diffusion equation when time goes to −∞−∞ are proved in this paper. First, a general result about Lp∩H01 exponential growth is established. Then, under additional assumptions, an exponential growth condition in H2H2 for the pullback attractor of the non-autonomous reaction–diffusion equation is also deduced.
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Authors
M. Anguiano, T. Caraballo, J. Real,