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

Advances in Difference Equations

article

Zhu, Xianzheng¹ 

[1] School of Mathematics, Sichuan University

关键词: Coupled plate equations;    Indirect damping;    Logarithmic decay;    Carleman estimate;   

DOI  :  10.1186/s13662-020-02677-y

学科分类：航空航天科学

来源: SpringerOpen

【 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.

【 授权许可】

CC BY