A note on geometric conditions for boundary control of wave equations with variable coefficients

被引：6

作者：

Feng, SJ ^{[1
]}

Feng, DX ^{[1
]}

机构：

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

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2002年 / 271卷 / 01期

基金：

中国国家自然科学基金;

关键词：

wave equations; variable coefficients; Riemannian manifold; covariant differential;

D O I：

10.1016/S0022-247X(02)00094-X

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The analytical condition given by Wyler for boundary stabilization of wave equations with variable coefficients is compared with the geometrical condition derived by Yao in terms of the Riemannian geometry method for exact controllability of wave equations with variable coefficients. It is shown that these two conditions are equivalent. (C) 2002 Elsevier Science (USA). All rights reserved.

引用

页码：59 / 65

页数：7

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