带有边界记忆阻尼的波方程能量的衰减性  

Decay rate of wave equations with boundary memory damping

作　　者：李冬林 刘瑶 LI Dong-lin;LIU Yao(School of Mathematical Sciences,Shanxi University,Taiyuan 030006,China)

机构地区：[1]山西大学数学科学学院

出　　处：《云南民族大学学报（自然科学版）》2019年第6期581-589,共9页Journal of Yunnan Minzu University:Natural Sciences Edition

基　　金：国家自然科学基金(11671240)

摘　　要：考虑一类带有边界记忆阻尼的半线性波方程系统,以获得系统的能量衰减率.首先定义系统的能量函数,其次构造系统的Lyapunov函数,最后借助系统的Lyapunov函数得到能量的衰减率.In this paper,a class of semilinear wave equations with acoustic boundary conditions and boundary memory damping is studied to obtain the energy decay rate of the system.Firstly,the energy function of the system is constructed.Then,the Lyapunov function of the system is established.Finally,the energy decay results are obtained by means of the Lyapunov function of the system.

关 键 词：半线性波方程 能量函数 LYAPUNOV函数 多项式衰减率 

分 类 号：O231.4[理学—运筹学与控制论]