Article ID Journal Published Year Pages File Type
842093 Nonlinear Analysis: Theory, Methods & Applications 2010 5 Pages PDF
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).

Related Topics
Physical Sciences and Engineering Engineering Engineering (General)
Authors
, , ,