STABILIZATION FOR SOME DEGENERATE WAVE EQUATIONS

被引：3
|
作者：
Zhang, Guang [1 ]
Chai, Shugen [1 ]
机构：
[1] Shanxi Univ, Sch Math Sci, Taiyuan 030006, Peoples R China
来源：
EVOLUTION EQUATIONS AND CONTROL THEORY | 2024年 / 13卷 / 02期
基金：
中国国家自然科学基金;
关键词：
Degenerate wave equation; stabilization; boundary control; multiplier method; NULL CONTROLLABILITY;
D O I：
10.3934/eect.2023047
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we study the boundary stability of a linearly damped degenerate wave equation, and analyze the well-posedness of the system by means of semigroup theory. Then we show that the system can achieve ex-ponential stability under a given boundary feedback condition by multiplier method and suitable estimation.
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页码：316 / 328
页数：13
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