外域上耦合波动方程组的局部能量衰减  

Local Energy Decay of Coupled Wave Equations in Exterior Domain

作　　者：武洁琼[1] 吴江涛 WU Jieqiong;WU Jiangtao(School of Mathematical Science,Shanxi University,Taiyuan 030006,China)

机构地区：[1]山西大学数学科学学院

出　　处：《河南科技大学学报（自然科学版）》2020年第1期86-92,99,M0008,共9页Journal of Henan University of Science And Technology:Natural Science

基　　金：国家自然科学基金项目(11801339);山西省留学人员科技活动择优资助基金项目(2018-172)

摘　　要：研究了外域上通过位移耦合的波动方程组的局部能量衰减。假设两个波系统在边界的一个邻域上耦合,系统的阻尼只在一个有界区域施加。利用乘子法、加权函数方法及截断技巧,得到耦合系统的局部能量衰减估计。The local energy decay of wave equations in an exterior domain coupled by the displacement was studied.Assume that the two wave systems were coupled in a neighborhood of the boundary and the dampings of the system were exerted only in a bounded domain.The decay estimate of local energy for the coupled system was obtained by using multiplier method,weighted function method and the cut-off technology.

关 键 词：外域 耦合波动方程 局部阻尼 局部能量衰减 

分 类 号：O175.27[理学—数学]