A Note on the Singular Limit of the Exact Controllability of Dissipative Wave Equations

被引：0
|
作者：
Tang Y. [1 ]
Zhang X. [2 ,3 ]
机构：
[1] Department of Mathematics, Daxian Teacher's College, Daxian 635000, Sichuan
[2] School of Mathematics, Sichuan University, Chengdu 610064, Sichuan
[3] Acad. of Math. and Systems Sciences, Chinese Academy of Sciences
来源：
Acta Mathematica Sinica | 2000年 / 16卷 / 4期
基金：
中国国家自然科学基金;
关键词：
Controllability; Heat equation; Singular perturbation; Wave equation;
D O I：
10.1007/s101140000055
中图分类号：
学科分类号：
摘要：
In this note we analyze the exact controllability of singularly perturbed damped wave equations under more general geometric control condition than that of [1]. We show that the null controllability of the heat equation can be obtained as a singular limit of the exact controllability of such sorts of wave equations.
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页码：601 / 612
页数：11
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