Stabilization of the transmission wave/plate equation with variable coefficients on $ {\mathbb{R}}^n $

Bei Gong; Zhen-Hu Ning; Fengyan Yang

doi:10.3934/eect.2020068

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2021, Volume 10, Issue 2: 321-331. Doi: 10.3934/eect.2020068

This issue Previous Article Multiscale homogenization of integral convex functionals in Orlicz Sobolev setting Next Article Internal feedback stabilization for parabolic systems coupled in zero or first order terms

Stabilization of the transmission wave/plate equation with variable coefficients on $ {\mathbb{R}}^n $

1.
Faculty of Information Technology, Beijing University of Technology, Beijing, 100124, China
2.
School of Sciences, Beijing Forestry University, Beijing, 100083, China

^* Corresponding author: Fengyan Yang
^* Corresponding author: Fengyan Yang

Received: December 2019

Revised: February 2020

Early access: June 2020

Published: June 2021

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Abstract

In this article, we consider the transmission wave/plate equation with variable coefficients on $ {\mathbb{R}}^n(n\ge 3) $. By virtue of the Morawetz multipliers in non Euclidean geometries and compactness-uniqueness arguments, we obtain some stability result of the transmission wave/plate system under suitable geometric conditions.

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Mathematics Subject Classification: Primary: 93C20; Secondary: 93D20.

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