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Regularity of Global Attractor for the Reaction‐Diffusion Equation

Regularity of global attractor for the reaction-diffusion equation
descriptionPublicationkeyboard_double_arrow_right Article , Other literature type 01 Jan 2012 English Publisher:WileyJournal:Abstract and Applied Analysis, volume 2,012 (issn: 1085-3375, eissn: 1687-0409, Copyright policy )
Authors: Luo, Hong;

doi: 10.1155/2012/917190

Regularity of Global Attractor for the Reaction‐Diffusion Equation

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.

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Keywords

Reaction-diffusion equations, QA1-939, Attractors, reaction-diffusion equation, global attractor, Mathematics

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
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