STABILIZATION OF WAVE EQUATIONS WITH VARIABLE COEFFICIENTS AND INTERNAL MEMORY

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	STABILIZATION OF WAVE EQUATIONS WITH VARIABLE COEFFICIENTS AND INTERNAL MEMORY
	Ning, Zhen-Hu 1; Yang, Fengyan 2
	2018-09-05
发表期刊	ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS
ISSN	1072-6691
页码	19
摘要	In 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.
关键词	Stabilization wave equation with variable coefficients memory term time-varying delay geometric conditions
语种	英语
资助项目	National 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研究方向	Mathematics
WOS类目	Mathematics, Applied ; Mathematics
WOS记录号	WOS:000444050300001
出版者	TEXAS STATE UNIV
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/30913
专题	中国科学院数学与系统科学研究院
通讯作者	Ning, Zhen-Hu
作者单位	1.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
推荐引用方式 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.