By using an iteration procedure, regularity estimates for the linear semigroups, and a classical existence theorem of global attractor, we prove that the reaction-diffusion equation possesses a global attractor in Sobolev space for all , which attracts any bounded subset of () in the -norm.
"Regularity of Global Attractor for the Reaction-Diffusion Equation." Abstr. Appl. Anal. 2012 1 - 16, 2012. https://doi.org/10.1155/2012/917190