具有边界反馈的波方程系统解的能量衰减估计  

Energy decay estimates for the solution to a wave equation system with boundary feedback

作　　者：白忠玉[1] 陈娜娜[1] BAI Zhong-yu;CHEN Na-na(Faculty of Network Science,Haikou University of Economics,Haikou 571127,Hainan,China)

机构地区：[1]海口经济学院网络学院,海南海口571127

出　　处：《西北师范大学学报（自然科学版）》2022年第4期39-44,共6页Journal of Northwest Normal University(Natural Science)

基　　金：海南省自然科学基金资助项目(120RC663)。

摘　　要：研究有界区域上一类波方程的能量衰减性.在适当的几何假设下,首先给出系统解的正则性,然后利用乘子法证明了该波方程是最优能量衰减的,得到了局部能量衰减的显式估计.The energy decay of a class of wave equations in a bounded domain is studied.Under suitable geometric assumptions,the regularity of the system solution is given,and then the optimal energy decay of the wave equation is proved by using the multiplier method.Finally,the explicit estimates of the local energy decay is obtained.

关 键 词：波方程 乘子法 能量衰减估计 边界反馈 

分 类 号：O231.4[理学—运筹学与控制论]