Exponential Stability for a Transmission Problem of a Viscoelastic Wave Equation

被引：0
作者：
Marcelo M. Cavalcanti
Emanuela R. S. Coelho
Valéria N. Domingos Cavalcanti
机构：
[1] State University of Maringá,Department of Mathematics
来源：
Applied Mathematics & Optimization | 2020年 / 81卷
关键词：
Wave equation; Transmission problem; Viscoelastic effect; Exponential stability; 35L05; 35B40; 35D40;
D O I：
暂无
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学科分类号：
摘要：
This paper is concerned with the study of a transmission problem of viscoelastic waves with hereditary memory, establishing the existence, uniqueness and exponential stability for the solutions of this problem. The proof of the stabilization result combines energy estimates and results due to Gérard (Commun Partial Differ Equ 16:1761–1794 (1991)) on microlocal defect measures.
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页码：621 / 650
页数：29
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