A note on the singular limit of the exact controllability of dissipative wave equations

被引：3

作者：

Tang, YP ^{[1
]}

Zhang, X

机构：

[1] Daxian Teachers Coll, Dept Math, Daxian 635000, Sichuan, Peoples R China

[2] Sichuan Univ, Sch Math, Chengdu 610064, Sichuan, Peoples R China

[3] Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100080, Peoples R China

来源：

ACTA MATHEMATICA SINICA-ENGLISH SERIES | 2000年 / 16卷 / 04期

关键词：

controllability; singular perturbation; heat equation; wave equation;

D O I：

10.1007/PL00011568

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

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.

引用

页码：601 / 612

页数：12

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