Exact Null Controllability of String Equations with Neumann Boundaries

被引：0
|
作者：
Cui, Lizhi [1 ]
Lu, Jing [1 ]
机构：
[1] Jilin Univ Finance & Econ, Coll Appl Math, Changchun 130117, Peoples R China
来源：
JOURNAL OF MATHEMATICS | 2024年 / 2024卷
关键词：
WAVE-EQUATION; STABILIZATION;
D O I：
10.1155/2024/8890544
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
This article focuses on the exact null controllability of a one-dimensional wave equation in noncylindrical domains. Both the fixed endpoint and the moving endpoint are Neumann-type boundary conditions. The control is put on the moving endpoint. When the speed of the moving endpoint is less than the characteristic speed, we can obtain the exact null controllability of this equation by using the Hilbert uniqueness method. In addition, we get a sharper estimate on controllability time that depends on the speed of the moving endpoint.
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页数：7
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