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Regularity of Global Attractor for the Reaction-Diffusion Equation
Author
Source
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-16, 16 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2012-07-12
Country of Publication
Egypt
No. of Pages
16
Main Subjects
Abstract EN
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.
American Psychological Association (APA)
Luo, Hong. 2012. Regularity of Global Attractor for the Reaction-Diffusion Equation. Abstract and Applied Analysis،Vol. 2012, no. 2012, pp.1-16.
https://search.emarefa.net/detail/BIM-507932
Modern Language Association (MLA)
Luo, Hong. Regularity of Global Attractor for the Reaction-Diffusion Equation. Abstract and Applied Analysis No. 2012 (2012), pp.1-16.
https://search.emarefa.net/detail/BIM-507932
American Medical Association (AMA)
Luo, Hong. Regularity of Global Attractor for the Reaction-Diffusion Equation. Abstract and Applied Analysis. 2012. Vol. 2012, no. 2012, pp.1-16.
https://search.emarefa.net/detail/BIM-507932
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-507932