ENERGY DECAY FOR VARIABLE COEFFICIENT VISCOELASTIC WAVE EQUATION WITH ACOUSTIC BOUNDARY CONDITIONS IN DOMAINS WITH NONLOCALLY REACTING BOUNDARY

被引：0
|
作者：
Hao, Jianghao [1 ]
Lv, Mengxian [1 ]
机构：
[1] Shanxi Univ, Sch Math Sci, Taiyuan 030006, Shanxi, Peoples R China
来源：
ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS | 2020年
关键词：
Variable coefficients; viscoelastic wave equation; acoustic boundary conditions; nonlocally reacting boundary; GENERAL DECAY; POLYNOMIAL DECAY; EXISTENCE; RATES;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this article, we study a variable coefficients viscoelastic wave equation with acoustic boundary conditions in domains with nonlocally reacting boundary. By constructing suitable Lyapunov functionals and using the energy compensation method, we prove that under suitable conditions on the initial data and the relaxation function, the energy of the system has an explicit and general decay rate.
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页数：13
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