On the well-posedness and regularity of the wave equation with variable coefficients

被引：17

作者：

Guo, Bao-Zhu ^{[1
]}

Zhang, Zhi-Xiong

机构：

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

[2] Univ Witwatersrand, Sch Computat & Appl Math, ZA-2050 Johannesburg, South Africa

[3] Grad Univ Chinese Acad Sci, Beijing 100049, Peoples R China

来源：

ESAIM-CONTROL OPTIMISATION AND CALCULUS OF VARIATIONS | 2007年 / 13卷 / 04期

关键词：

wave equation; transfer function; well-posed and regular system; boundary control and observation;

D O I：

10.1051/cocv:2007040

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

An open- loop system of a multidimensional wave equation with variable coefficients, partial boundary Dirichlet control and collocated observation is considered. It is shown that the system is well- posed in the sense of D. Salamon and regular in the sense of G. Weiss. The Riemannian geometry method is used in the proof of regularity and the feedthrough operator is explicitly computed.

引用

页码：776 / 792

页数：17

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