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Internal Observability, Controllability and Stabilization of the Inhomogeneous and Anisotropic Elastic Wave Equation
Meng, Yusen1,2; Ning, Zhen-Hu3; Yang, Fengyan4
2020-05-26
Source PublicationAPPLIED MATHEMATICS AND OPTIMIZATION
ISSN0095-4616
Pages17
AbstractIn this paper, we consider the inhomogeneous and anisotropic elastic wave equation on bounded domain. We prove the internal observability, controllability and stabilization of the elastic wave equation under a suitable condition of inhomogeneous and anisotropic medias. The main methods are multiplier methods and compactness-uniqueness arguments.
KeywordInhomogeneous and anisotropic elastic wave equation Internal observability and controllability Exponential stability Morawetz's multipliers
DOI10.1007/s00245-020-09688-x
Indexed BySCI
Language英语
Funding ProjectNational Natural Science Foundation of China[61573342] ; Key Research Program of Frontier Sciences, CAS[QYZDJ-SSW-SYS011]
WOS Research AreaMathematics
WOS SubjectMathematics, Applied
WOS IDWOS:000535637400001
PublisherSPRINGER
Citation statistics
Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/51486
Collection中国科学院数学与系统科学研究院
Corresponding AuthorYang, Fengyan
Affiliation1.Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China
2.Chinese Acad Sci, Acad Math & Syst Sci, Inst Syst Sci, Key Lab Syst & Control, Beijing 100190, Peoples R China
3.Beijing Univ Technol, Fac Informat Technol, Beijing 100124, Peoples R China
4.Beijing Forestry Univ, Sch Sci, Beijing 100083, Peoples R China
Recommended Citation
GB/T 7714
Meng, Yusen,Ning, Zhen-Hu,Yang, Fengyan. Internal Observability, Controllability and Stabilization of the Inhomogeneous and Anisotropic Elastic Wave Equation[J]. APPLIED MATHEMATICS AND OPTIMIZATION,2020:17.
APA Meng, Yusen,Ning, Zhen-Hu,&Yang, Fengyan.(2020).Internal Observability, Controllability and Stabilization of the Inhomogeneous and Anisotropic Elastic Wave Equation.APPLIED MATHEMATICS AND OPTIMIZATION,17.
MLA Meng, Yusen,et al."Internal Observability, Controllability and Stabilization of the Inhomogeneous and Anisotropic Elastic Wave Equation".APPLIED MATHEMATICS AND OPTIMIZATION (2020):17.
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