Exact controllability for a one-dimensional wave equation with the fixed endpoint control

被引：0
|
作者：
Lizhi Cui
Yang Jiang
Yu Wang
机构：
[1] Jilin University of Finance and Economics,College of Applied Mathematics
[2] Shenyang Normal University,College of Math and Systematic Science
来源：
Boundary Value Problems | / 2015卷
关键词：
exact controllability; non-cylindrical domain; wave equation;
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摘要：
This paper is devoted to the study of the exact controllability for a one-dimensional wave equation in domains with moving boundary. This equation characterizes the motion of a string with a fixed endpoint and the other a moving one. The control is put on the fixed endpoint. When the speed of the moving endpoint is less than the characteristic speed, by the Hilbert uniqueness method (HUM), exact controllability of this equation is established.
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