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2012 Regularity of Global Attractor for the Reaction-Diffusion Equation
Hong Luo
Abstr. Appl. Anal. 2012: 1-16 (2012). DOI: 10.1155/2012/917190

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 H k for all k > 0 , which attracts any bounded subset of H k ( ) in the H k -norm.

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Hong Luo. "Regularity of Global Attractor for the Reaction-Diffusion Equation." Abstr. Appl. Anal. 2012 1 - 16, 2012. https://doi.org/10.1155/2012/917190

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Published: 2012
First available in Project Euclid: 14 December 2012

zbMATH: 1246.35106
MathSciNet: MR2947748
Digital Object Identifier: 10.1155/2012/917190

Rights: Copyright © 2012 Hindawi

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