Global smooth solutions of the quasi-linear wave equation with internal velocity feedback
文献类型：期刊论文
| 作者 | Zhang, Zhi-Fei; Yao, Peng-Fei
|
| 刊名 | SIAM JOURNAL ON CONTROL AND OPTIMIZATION
 |
| 出版日期 | 2008 |
| 卷号 | 47期号:4页码:2044-2077 |
| 关键词 | quasi-linear wave equation Riemannian metric internal velocity feedback |
| ISSN号 | 0363-0129 |
| DOI | 10.1137/070679454 |
| 英文摘要 | We study the existence of global smooth solutions for the quasi-linear wave equation by an internal local damping when initial data are close to a given equilibrium. Our interest is in studying the structure of the damping region, which guarantees the existence of global solutions. Our results show that the structure of the damping region depends on the geometric properties of a Riemannian metric, based on the coefficients and the equilibrium of the system. Some geometrical conditions are presented to obtain the damping region. |
| 资助项目 | National Natural Science Foundation of China[60225003] ; National Natural Science Foundation of China[60334040] ; National Natural Science Foundation of China[60221301] ; National Natural Science Foundation of China[60774025] |
| WOS研究方向 | Automation & Control Systems ; Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000258895300017 |
| 出版者 | SIAM PUBLICATIONS |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/5523]  |
| 专题 | 系统科学研究所 |
| 通讯作者 | Zhang, Zhi-Fei |
| 作者单位 | Chinese Acad Sci, Acad Math & Syst Sci, Inst Syst Sci, Key Lab Syst & Control, Beijing 100080, Peoples R China |
| 推荐引用方式 GB/T 7714 | Zhang, Zhi-Fei,Yao, Peng-Fei. Global smooth solutions of the quasi-linear wave equation with internal velocity feedback[J]. SIAM JOURNAL ON CONTROL AND OPTIMIZATION,2008,47(4):2044-2077. |
| APA | Zhang, Zhi-Fei,&Yao, Peng-Fei.(2008).Global smooth solutions of the quasi-linear wave equation with internal velocity feedback.SIAM JOURNAL ON CONTROL AND OPTIMIZATION,47(4),2044-2077. |
| MLA | Zhang, Zhi-Fei,et al."Global smooth solutions of the quasi-linear wave equation with internal velocity feedback".SIAM JOURNAL ON CONTROL AND OPTIMIZATION 47.4(2008):2044-2077. |
入库方式： OAI收割
来源：数学与系统科学研究院
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