Regularity of Global Attractor for the Reaction‐Diffusion Equation

Hong Luo

Abstract and Applied Analysis, 2012, vol. 2012, issue 1

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 Hk for all k > 0, which attracts any bounded subset of Hk(Ω) in the Hk‐norm.

Date: 2012
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https://doi.org/10.1155/2012/917190

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:2012:y:2012:i:1:n:917190

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