Stabilization of the weakly coupled plate equations with a locally distributed damping

被引：0
|
作者：
Xianzheng Zhu
机构：
[1] Sichuan University,School of Mathematics
来源：
Advances in Difference Equations | / 2020卷
关键词：
Coupled plate equations; Indirect damping; Logarithmic decay; Carleman estimate;
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学科分类号：
摘要：
In this paper, we study the indirect stabilization of a system of plate equations which are weakly coupled and locally damped. By virtue of the general results due to Burq in the study of asymptotic behavior of solutions, we prove that the semigroup associated to the system is logarithmically stable under some assumptions on the damping and the coupling terms. For this purpose, we adopt an approach based on the growth of the resolvent on the imaginary axis, which can be obtained by some Carleman estimates.
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