Qiaozhen Ma, Yun Yang, Xiaoliang Zhang
Abstract:
We show the existence of
-global
attractors for plate equations with critical nonlinearity when
.
Furthermore we prove that for each fixed
,
there is an (
-exponential attractor
for all
,
which attracts
any
-bounded set under the stronger
-norm for all
.
Submitted November 29, 2012. Published May 6, 2013.
Math Subject Classifications: 35Q35, 35B40, 35B41.
Key Words: Plate equation; critical exponent; exponential attractor.
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Qiaozhen Ma College of Mathematics and Statistics Northwest Normal University Lanzhou 730070, China email: maqzh@nwnu.edu.cn | |
Yun Yang College of Mathematics and Statistics Northwest Normal University Lanzhou 730070, China email: yangyun880@163.com | |
Xiaoliang Zhang College of Mathematics and Statistics Northwest Normal University Lanzhou 730070, China email: zhangxl258@163.com |
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