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

文献类型：期刊论文

作者Chai, Shugen1; Guo, Bao-Zhu1,2,3
刊名JOURNAL OF DIFFERENTIAL EQUATIONS
出版日期2010-12-15
卷号249期号:12页码:3174-3214
ISSN号0022-0396
关键词Naghdi's shell model Well-posedness Regularity Boundary control and observation
DOI10.1016/j.jde.2010.09.012
英文摘要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.
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
语种英语
出版者ACADEMIC PRESS INC ELSEVIER SCIENCE
WOS记录号WOS:000284673000012
源URL[http://ir.amss.ac.cn/handle/2S8OKBNM/9671]  
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.

入库方式： OAI收割

来源：数学与系统科学研究院

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