Logarithmic stabilization of the Kirchhoff plate transmission system with locally distributed Kelvin-Voigt damping

被引：0
|
作者：
Gimyong Hong
Hakho Hong
机构：
[1] University of Sciences,Faculty of Mathematics
[2] State Academy of Sciences,Institute of Mathematics
来源：
Applications of Mathematics | 2022年 / 67卷
关键词：
transmission problem; Kirchhoff plate; Kelvin-Voigt damping; energy decay; Carleman estimate; 35Q74; 93D15; 35L57; 74M05;
D O I：
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学科分类号：
摘要：
We are concerned with a transmission problem for the Kirchhoff plate equation where one small part of the domain is made of a viscoelastic material with the Kelvin-Voigt constitutive relation. We obtain the logarithmic stabilization result (explicit energy decay rate), as well as the wellposedness, for the transmission system. The method is based on a new Carleman estimate to obtain information on the resolvent for high frequency. The main ingredient of the proof is some careful analysis for the Kirchhoff transmission plate equation.
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页码：21 / 47
页数：26
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