Asymptotic Behavior of a Class of Degenerate Parabolic Equations

Joint Authors

Li, Hongtao
Ma, Shan

Source

Abstract and Applied Analysis

Issue

Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-15, 15 p.

Publisher

Hindawi Publishing Corporation

Publication Date

2012-12-19

Country of Publication

Egypt

No. of Pages

15

Main Subjects

Mathematics

Abstract EN

We investigate the asymptotic behavior of solutions of a class of degenerate parabolic equations in a bounded domain Ω⊂ℝn (n⩾2) with a polynomial growth nonlinearity of arbitrary order.

The existence of global attractors is proved in L2(Ω), Lp(Ω), and H01,a(Ω), respectively, when H01,a(Ω) can be just compactly embedded into Lr(Ω) (r<2) but not L2(Ω).

American Psychological Association (APA)

Li, Hongtao& Ma, Shan. 2012. Asymptotic Behavior of a Class of Degenerate Parabolic Equations. Abstract and Applied Analysis،Vol. 2012, no. 2012, pp.1-15.
https://search.emarefa.net/detail/BIM-489413

Modern Language Association (MLA)

Li, Hongtao& Ma, Shan. Asymptotic Behavior of a Class of Degenerate Parabolic Equations. Abstract and Applied Analysis No. 2012 (2012), pp.1-15.
https://search.emarefa.net/detail/BIM-489413

American Medical Association (AMA)

Li, Hongtao& Ma, Shan. Asymptotic Behavior of a Class of Degenerate Parabolic Equations. Abstract and Applied Analysis. 2012. Vol. 2012, no. 2012, pp.1-15.
https://search.emarefa.net/detail/BIM-489413

Data Type

Journal Articles

Language

English

Notes

Includes bibliographical references

Record ID

BIM-489413