Well-posedness and regularity of Naghdi's shell equation under boundary control and observation

doi:10.1016/j.jde.2010.09.012

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	Well-posedness and regularity of Naghdi's shell equation under boundary control and observation
	Chai, Shugen 1; Guo, Bao-Zhu1,2,3
	2010-12-15
发表期刊	JOURNAL OF DIFFERENTIAL EQUATIONS
ISSN	0022-0396
卷号	249 期号:12 页码:3174-3214
摘要	A system of Naghdi's shell equation with Dirichlet boundary control and collocated observation is considered. Results on the associated nonhomogeneous boundary value problem are presented. Based on these results, it is shown that the system is well-posed in the sense of D. Salamon and regular in the sense of G. Weiss. The expression of the corresponding feedthrough operator is explicitly found by means of Riemannian geometric method and partial Fourier transform. These properties make this partial differential control system parallel in many ways finite-dimensional ones in the general framework of well-posed and regular infinite-dimensional systems. (C) 2010 Elsevier Inc. All rights reserved.
关键词	Naghdi's shell model Well-posedness Regularity Boundary control and observation
DOI	10.1016/j.jde.2010.09.012
语种	英语
资助项目	National Natural Science Foundation of China[60774014] ; National Natural Science Foundation of China[60974032] ; National Basic Research Program of China[2011CB808002] ; TYAL ; Science Foundation of Shanxi Province[2009011007] ; National Research Foundation of South Africa
WOS研究方向	Mathematics
WOS类目	Mathematics
WOS记录号	WOS:000284673000012
出版者	ACADEMIC PRESS INC ELSEVIER SCIENCE
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/9672
专题	系统科学研究所
通讯作者	Chai, Shugen
作者单位	1.Shanxi Univ, Sch Math Sci, Taiyuan 030006, Peoples R China 2.Acad Sinica, Acad Math & Syst Sci, Beijing 100190, Peoples R China 3.Univ Witwatersrand, Sch Computat & Appl Math, ZA-2050 Johannesburg, South Africa
推荐引用方式 GB/T 7714	Chai, Shugen,Guo, Bao-Zhu. Well-posedness and regularity of Naghdi's shell equation under boundary control and observation[J]. JOURNAL OF DIFFERENTIAL EQUATIONS,2010,249(12):3174-3214.
APA	Chai, Shugen,&Guo, Bao-Zhu.(2010).Well-posedness and regularity of Naghdi's shell equation under boundary control and observation.JOURNAL OF DIFFERENTIAL EQUATIONS,249(12),3174-3214.
MLA	Chai, Shugen,et al."Well-posedness and regularity of Naghdi's shell equation under boundary control and observation".JOURNAL OF DIFFERENTIAL EQUATIONS 249.12(2010):3174-3214.