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Asymptotic expansion and convergence theorem of control and observation on the boundary for second-order elliptic equation with highly oscillatory coefficients
Cao, LQ
2004-03-01
Source PublicationMATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES
ISSN0218-2025
Volume14Issue:3Pages:417-437
AbstractIn this paper, we shall study systems governed by the Neumann problem of second-order elliptic equation with rapidly oscillating coefficients and with control and observations on the boundary. The multiscale asymptotic expansions of the solution for considering problem in the case without any constraints, and homogenized equation in the case with constraints will be given, their rigorous proofs will also be proposed.
Keywordoptimal control homogenization asymptotic expansion
Language英语
WOS Research AreaMathematics
WOS SubjectMathematics, Applied
WOS IDWOS:000220910900005
PublisherWORLD SCIENTIFIC PUBL CO PTE LTD
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Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/19318
Collection计算数学与科学工程计算研究所
Corresponding AuthorCao, LQ
AffiliationChinese Acad Sci, Acad Math & Syst Sci, Inst Computat Math & Sci Engn Comp, Beijing 100080, Peoples R China
Recommended Citation
GB/T 7714
Cao, LQ. Asymptotic expansion and convergence theorem of control and observation on the boundary for second-order elliptic equation with highly oscillatory coefficients[J]. MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES,2004,14(3):417-437.
APA Cao, LQ.(2004).Asymptotic expansion and convergence theorem of control and observation on the boundary for second-order elliptic equation with highly oscillatory coefficients.MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES,14(3),417-437.
MLA Cao, LQ."Asymptotic expansion and convergence theorem of control and observation on the boundary for second-order elliptic equation with highly oscillatory coefficients".MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES 14.3(2004):417-437.
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