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

Exact controllability for a one-dimensional wave equation with the fixed endpoint control
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固定端点控制一维波动方程的精确可控性

DOI:
10.1186/s13661-015-0476-4
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发表时间:
2015-11
影响因子:
1.7
通讯作者:
Yu Wang
Yu Wang
中科院分区:
数学4区
文献类型:
--
作者:
Lizhi Cui;Yang Jiang;Yu Wang

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本文致力于研究具有移动边界的域中一维波方程的确切可控性。该方程式表征了带有固定端点的字符串运动,另一个方程式是一个移动的运动。控制装置
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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