Existence of exponential attractors for the plate equations with strong damping
We show the existence of $(H_0^2(Omega)imes L^2(Omega), H_0^2(Omega)imes H_0^2(Omega))$-global attractors for plate equations with critical nonlinearity when $gin H^{-2}(Omega)$. Furthermore we prove that for each fixed $T > 0$, there is an ($H_0^2(Omega)imes L^2(Omega), H_0^2(Omega)imes H_0...
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Texas State University
2013-05-01
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doaj-e56362db78164a928555e460810b97762020-11-24T21:19:51ZengTexas State UniversityElectronic Journal of Differential Equations1072-66912013-05-012013114,110Existence of exponential attractors for the plate equations with strong dampingQiaozhen MaYun YangXiaoliang ZhangWe show the existence of $(H_0^2(Omega)imes L^2(Omega), H_0^2(Omega)imes H_0^2(Omega))$-global attractors for plate equations with critical nonlinearity when $gin H^{-2}(Omega)$. Furthermore we prove that for each fixed $T > 0$, there is an ($H_0^2(Omega)imes L^2(Omega), H_0^2(Omega)imes H_0^2(Omega))_{T}$-exponential attractor for all $gin L^2(Omega)$, which attracts any $H_0^2(Omega)imes L^2(Omega)$-bounded set under the stronger $H^2(Omega)imes H^2(Omega)$-norm for all $tgeq T$. http://ejde.math.txstate.edu/Volumes/2013/114/abstr.htmlPlate equationcritical exponentexponential attractor |
collection |
DOAJ |
language |
English |
format |
Article |
sources |
DOAJ |
author |
Qiaozhen Ma Yun Yang Xiaoliang Zhang |
spellingShingle |
Qiaozhen Ma Yun Yang Xiaoliang Zhang Existence of exponential attractors for the plate equations with strong damping Electronic Journal of Differential Equations Plate equation critical exponent exponential attractor |
author_facet |
Qiaozhen Ma Yun Yang Xiaoliang Zhang |
author_sort |
Qiaozhen Ma |
title |
Existence of exponential attractors for the plate equations with strong damping |
title_short |
Existence of exponential attractors for the plate equations with strong damping |
title_full |
Existence of exponential attractors for the plate equations with strong damping |
title_fullStr |
Existence of exponential attractors for the plate equations with strong damping |
title_full_unstemmed |
Existence of exponential attractors for the plate equations with strong damping |
title_sort |
existence of exponential attractors for the plate equations with strong damping |
publisher |
Texas State University |
series |
Electronic Journal of Differential Equations |
issn |
1072-6691 |
publishDate |
2013-05-01 |
description |
We show the existence of $(H_0^2(Omega)imes L^2(Omega), H_0^2(Omega)imes H_0^2(Omega))$-global attractors for plate equations with critical nonlinearity when $gin H^{-2}(Omega)$. Furthermore we prove that for each fixed $T > 0$, there is an ($H_0^2(Omega)imes L^2(Omega), H_0^2(Omega)imes H_0^2(Omega))_{T}$-exponential attractor for all $gin L^2(Omega)$, which attracts any $H_0^2(Omega)imes L^2(Omega)$-bounded set under the stronger $H^2(Omega)imes H^2(Omega)$-norm for all $tgeq T$. |
topic |
Plate equation critical exponent exponential attractor |
url |
http://ejde.math.txstate.edu/Volumes/2013/114/abstr.html |
work_keys_str_mv |
AT qiaozhenma existenceofexponentialattractorsfortheplateequationswithstrongdamping AT yunyang existenceofexponentialattractorsfortheplateequationswithstrongdamping AT xiaoliangzhang existenceofexponentialattractorsfortheplateequationswithstrongdamping |
_version_ |
1726004969225584640 |