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Strong Global Attractors for 3D Wave Equations with Weakly Damping
Author
Source
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-12, 12 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2012-06-13
Country of Publication
Egypt
No. of Pages
12
Main Subjects
Abstract EN
We consider the existence of the global attractor A1 for the 3D weakly damped wave equation.
We prove that A1 is compact in (H2(Ω)∩H01(Ω))×H01(Ω) and attracts all bounded subsets of (H2(Ω)∩H01(Ω))×H01(Ω) with respect to the norm of (H2(Ω)∩H01(Ω))×H01(Ω).
Furthermore, this attractor coincides with the global attractor in the weak energy space H01(Ω)×L2(Ω).
American Psychological Association (APA)
Meng, Fengjuan. 2012. Strong Global Attractors for 3D Wave Equations with Weakly Damping. Abstract and Applied Analysis،Vol. 2012, no. 2012, pp.1-12.
https://search.emarefa.net/detail/BIM-473980
Modern Language Association (MLA)
Meng, Fengjuan. Strong Global Attractors for 3D Wave Equations with Weakly Damping. Abstract and Applied Analysis No. 2012 (2012), pp.1-12.
https://search.emarefa.net/detail/BIM-473980
American Medical Association (AMA)
Meng, Fengjuan. Strong Global Attractors for 3D Wave Equations with Weakly Damping. Abstract and Applied Analysis. 2012. Vol. 2012, no. 2012, pp.1-12.
https://search.emarefa.net/detail/BIM-473980
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-473980