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STABILIZATION OF WAVE EQUATIONS WITH VARIABLE COEFFICIENTS AND INTERNAL MEMORY
Ning, Zhen-Hu1; Yang, Fengyan2
2018-09-05
Source PublicationELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS
ISSN1072-6691
Pages19
AbstractIn this article, we consider the stabilization of a wave equation with variable coefficients and internal memory in an open bounded domain, by the Riemannian geometry approach. For the wave equation with a locally distributed memory with a kernel, we obtain exponential decay of the energy under some geometric conditions. In addition, for the wave equation with nonlinear internal time-varying delay without upper bound, we obtain uniform decay of the energy.
KeywordStabilization wave equation with variable coefficients memory term time-varying delay geometric conditions
Language英语
Funding ProjectNational Natural Science Foundation (NNSF) of China[41130422] ; National Natural Science Foundation (NNSF) of China[61473126] ; National Natural Science Foundation (NNSF) of China[61573342] ; Key Research Program of Frontier Sciences, Chinese Academy of Sciences[QYZDJ-SSW-SYS011] ; Xu Guozhi Post-doctoral Work Award Fund ; Xu Guozhi Post-doctoral Work Award Fund, Institute of Systems Science, Academy of Mathematics and Systems Science, Chinese Academy of Sciences
WOS Research AreaMathematics
WOS SubjectMathematics, Applied ; Mathematics
WOS IDWOS:000444050300001
PublisherTEXAS STATE UNIV
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Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/30913
Collection中国科学院数学与系统科学研究院
Affiliation1.Beijing Univ Technol, Fac Informat Technol, Beijing 100124, Peoples R China
2.Chinese Acad Sci, Acad Math & Syst Sci, Key Lab Syst & Control, Inst Syst Sci, Beijing 100190, Peoples R China
Recommended Citation
GB/T 7714
Ning, Zhen-Hu,Yang, Fengyan. STABILIZATION OF WAVE EQUATIONS WITH VARIABLE COEFFICIENTS AND INTERNAL MEMORY[J]. ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS,2018:19.
APA Ning, Zhen-Hu,&Yang, Fengyan.(2018).STABILIZATION OF WAVE EQUATIONS WITH VARIABLE COEFFICIENTS AND INTERNAL MEMORY.ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS,19.
MLA Ning, Zhen-Hu,et al."STABILIZATION OF WAVE EQUATIONS WITH VARIABLE COEFFICIENTS AND INTERNAL MEMORY".ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS (2018):19.
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