Polynomial Decay Rate of a Variable Coefficient Wave Equation with Memory Type Acoustic Boundary Conditions

被引：0
|
作者：
Yu-Xiang Liu
机构：
[1] Qingdao University of Technology,School of the Science
来源：
The Journal of Geometric Analysis | 2022年 / 32卷
关键词：
Polynomial decay; Riemannian geometry method; Variable coefficient; Memory type acoustic boundary; Wave equation; 35L05; 35L20; 35L70; 35B35; 35B40;
D O I：
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学科分类号：
摘要：
We consider a variable coefficient wave equation with memory-type acoustic boundary conditions. The polynomially decay rate of the system is established when the memory kernel decays polynomially to zero. We apply the Riemannian geometry method to deal with the variable coefficients.
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