Explicit observability estimate for the wave equation with potential and its application

被引:65
作者
Zhang, X [1 ]
机构
[1] Fudan Univ, Inst Math, Shanghai 200433, Peoples R China
[2] Sichuan Univ, Dept Math, Chengdu 610064, Peoples R China
来源
PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES | 2000年 / 456卷 / 1997期
关键词
Carleman-type estimate; energy estimate; observability; controllability;
D O I
10.1098/rspa.2000.0553
中图分类号
O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];
学科分类号
07 ; 0710 ; 09 ;
摘要
By means of the Carleman-type estimate, we obtain an explicit observability estimate for the wave equation with a potential. As its application, we get the exact internal controllability of the semilinear wave equations in any space dimensions.
引用
收藏
页码:1101 / 1115
页数:15
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