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ISRN Applied Mathematics
Article . 2012 . Peer-reviewed
License: CC BY
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ISRN Applied Mathematics
Article
License: CC BY
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zbMATH Open
Article . 2012
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Global Attractor for Doubly Nonlinear Parabolic Equation

Global attractor for doubly nonlinear parabolic equation
Authors: Li, Yongjun; Wang, Suyun; Zhang, Yanhong;

Global Attractor for Doubly Nonlinear Parabolic Equation

Abstract

Our aim in this paper is to study the long-time behavior for a class of doubly nonlinear parabolic equations. First we show that the problem has a unique solution. Then we prove that the semigroup corresponding to the problem is norm-to-weak continuous in Lq and H01. Finally we establish the existence of global attractor of the problem in Lq and H01.

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Keywords

Quasilinear parabolic equations, Asymptotic behavior of solutions to PDEs, Attractors, doubly nonlinear parabolic equation, long-time behavior

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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!
0
Average
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