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Nonlinear boundary stabilization of wave equations with variable coefficients
Feng, SJ; Feng, DX
2003-04-01
Source PublicationCHINESE ANNALS OF MATHEMATICS SERIES B
ISSN0252-9599
Volume24Issue:2Pages:239-248
AbstractThe wave equation with variable coefficients with a nonlinear dissipative boundary feedback is studied. By the Riemannian geometry method and the multiplier technique, it is shown that the closed loop system decays exponentially or asymptotically, and hence the relation between the decay rate of the system energy and the nonlinearity behavior of the feedback function is established.
Keywordwave equations nonlinear boundary feedback exponential decay asymptotic decay Riemannian manifold
Language英语
WOS Research AreaMathematics
WOS SubjectMathematics
WOS IDWOS:000183647900009
PublisherSHANGHAI SCIENTIFIC TECHNOLOGY LITERATURE PUBLISHING HOUSE
Citation statistics
Cited Times:7[WOS]   [WOS Record]     [Related Records in WOS]
Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/18888
Collection系统科学研究所
AffiliationChinese Acad Sci, Acad Math & Syst Sci, Beijing 100080, Peoples R China
Recommended Citation
GB/T 7714
Feng, SJ,Feng, DX. Nonlinear boundary stabilization of wave equations with variable coefficients[J]. CHINESE ANNALS OF MATHEMATICS SERIES B,2003,24(2):239-248.
APA Feng, SJ,&Feng, DX.(2003).Nonlinear boundary stabilization of wave equations with variable coefficients.CHINESE ANNALS OF MATHEMATICS SERIES B,24(2),239-248.
MLA Feng, SJ,et al."Nonlinear boundary stabilization of wave equations with variable coefficients".CHINESE ANNALS OF MATHEMATICS SERIES B 24.2(2003):239-248.
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