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On the observability inequalities for exact controllability of wave equations with variable coefficients
文献类型：期刊论文
| 作者 | Yao, PF |
| 刊名 | SIAM JOURNAL ON CONTROL AND OPTIMIZATION
 |
| 出版日期 | 1999-08-10 |
| 卷号 | 37期号:5页码:1568-1599 |
| 关键词 | wave equation exact controllability Riemannian manifold Hessian comparison theorem geometric optics |
| ISSN号 | 0363-0129 |
| 英文摘要 | This paper deals with boundary exact controllability for the dynamics governed by the wave equation with nonconstant coefficients in the principal part, subject to Dirichlet or Neumann boundary controls. The observability inequalities are established by the Riemannian geometry method under some geometric condition for the Dirichlet problem and for the Neumann problem, respectively. Next, a number of nontrivial examples are presented to verify the observability inequality. In particular, a counterexample is given without boundary exact controllability, where the control is exerted on the whole boundary. |
| 语种 | 英语 |
| WOS记录号 | WOS:000082399200012 |
| 出版者 | SIAM PUBLICATIONS |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/14867]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 通讯作者 | Yao, PF |
| 作者单位 | Acad Sinica, Inst Syst Sci, Beijing 100080, Peoples R China |
| 推荐引用方式 GB/T 7714 | Yao, PF. On the observability inequalities for exact controllability of wave equations with variable coefficients[J]. SIAM JOURNAL ON CONTROL AND OPTIMIZATION,1999,37(5):1568-1599. |
| APA | Yao, PF.(1999).On the observability inequalities for exact controllability of wave equations with variable coefficients.SIAM JOURNAL ON CONTROL AND OPTIMIZATION,37(5),1568-1599. |
| MLA | Yao, PF."On the observability inequalities for exact controllability of wave equations with variable coefficients".SIAM JOURNAL ON CONTROL AND OPTIMIZATION 37.5(1999):1568-1599. |
入库方式： OAI收割
来源：数学与系统科学研究院
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