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

doi:10.1051/cocv:2007040

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	On the well-posedness and regularity of the wave equation with variable coefficients
	Guo, Bao-Zhu; Zhang, Zhi-Xiong
	2007-10-01
发表期刊	ESAIM-CONTROL OPTIMISATION AND CALCULUS OF VARIATIONS
ISSN	1262-3377
卷号	13 期号:4 页码:776-792
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.
关键词	wave equation transfer function well-posed and regular system boundary control and observation
DOI	10.1051/cocv:2007040
语种	英语
WOS研究方向	Automation & Control Systems ; Mathematics
WOS类目	Automation & Control Systems ; Mathematics, Applied
WOS记录号	WOS:000250042900010
出版者	EDP SCIENCES S A
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/4620
专题	系统科学研究所
通讯作者	Guo, Bao-Zhu
作者单位	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
推荐引用方式 GB/T 7714	Guo, Bao-Zhu,Zhang, Zhi-Xiong. On the well-posedness and regularity of the wave equation with variable coefficients[J]. ESAIM-CONTROL OPTIMISATION AND CALCULUS OF VARIATIONS,2007,13(4):776-792.
APA	Guo, Bao-Zhu,&Zhang, Zhi-Xiong.(2007).On the well-posedness and regularity of the wave equation with variable coefficients.ESAIM-CONTROL OPTIMISATION AND CALCULUS OF VARIATIONS,13(4),776-792.
MLA	Guo, Bao-Zhu,et al."On the well-posedness and regularity of the wave equation with variable coefficients".ESAIM-CONTROL OPTIMISATION AND CALCULUS OF VARIATIONS 13.4(2007):776-792.