Regularity of Global Attractor for the Reaction-Diffusion Equation

Hong Luo

Abstract and Applied Analysis, 2012, vol. 2012, 1-16

Abstract:

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.

Date: 2012
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:917190

DOI: 10.1155/2012/917190

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