Title of article
The existence of global attractors for semilinear parabolic equation in image spaces Original Research Article
Author/Authors
Lingyu Song، نويسنده , , He Yinnian، نويسنده , , Yindi Zhang، نويسنده ,
Issue Information
روزنامه با شماره پیاپی سال 2008
Pages
9
From page
3541
To page
3549
Abstract
In this paper, we use the iteration technique for regularity estimates, combining with the classical existence theorem of global attractors, to derive that for any k≥0k≥0 the semilinear parabolic equation possesses a global attractor in Hk(Ω)Hk(Ω), which attracts any bounded subset of Hk(Ω)Hk(Ω) in the HkHk-norm.
Keywords
Semigroup operator , The global attractor , Semilinear parabolic equation , The regularity of an attractor
Journal title
Nonlinear Analysis Theory, Methods & Applications
Serial Year
2008
Journal title
Nonlinear Analysis Theory, Methods & Applications
Record number
860290
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