KMS Of Academy of mathematics and systems sciences, CAS
| STABILIZATION OF WAVE EQUATIONS WITH VARIABLE COEFFICIENTS AND INTERNAL MEMORY | |
| Ning, Zhen-Hu1; Yang, Fengyan2 | |
| 2018-09-05 | |
| Source Publication | ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS
 |
| ISSN | 1072-6691 |
| Pages | 19 |
| Abstract | 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. |
| Keyword | Stabilization wave equation with variable coefficients memory term time-varying delay geometric conditions |
| Language | 英语 |
| Funding Project | 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 Research Area | Mathematics |
| WOS Subject | Mathematics, Applied ; Mathematics |
| WOS ID | WOS:000444050300001 |
| Publisher | TEXAS STATE UNIV |
| Citation statistics | |
| Document Type | 期刊论文 |
| Identifier | http://ir.amss.ac.cn/handle/2S8OKBNM/30913 |
| Collection | 中国科学院数学与系统科学研究院 |
| Corresponding Author | Ning, Zhen-Hu |
| Affiliation | 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 |
| 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. |
| Files in This Item: | There are no files associated with this item. | |||||
Items in the repository are protected by copyright, with all rights reserved, unless otherwise indicated.
Edit Comment