On the well-posedness and regularity of the wave equation with variable coefficients
文献类型：期刊论文
| 作者 | Guo, Bao-Zhu ; Zhang, Zhi-Xiong
|
| 刊名 | ESAIM-CONTROL OPTIMISATION AND CALCULUS OF VARIATIONS
 |
| 出版日期 | 2007-10-01 |
| 卷号 | 13期号:4页码:776-792 |
| 关键词 | wave equation transfer function well-posed and regular system boundary control and observation |
| ISSN号 | 1262-3377 |
| DOI | 10.1051/cocv:2007040 |
| 英文摘要 | An open- loop system of a multidimensional wave equation with variable coefficients, partial boundary Dirichlet control and collocated observation is considered. It is shown that the system is well- posed in the sense of D. Salamon and regular in the sense of G. Weiss. The Riemannian geometry method is used in the proof of regularity and the feedthrough operator is explicitly computed. |
| WOS研究方向 | Automation & Control Systems ; Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000250042900010 |
| 出版者 | EDP SCIENCES S A |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/4619]  |
| 专题 | 系统科学研究所 |
| 通讯作者 | Guo, Bao-Zhu |
| 作者单位 | 1.Acad Sinica, Acad Math & Syst Sci, Beijing 100080, Peoples R China 2.Univ Witwatersrand, Sch Computat & Appl Math, ZA-2050 Johannesburg, South Africa 3.Grad Univ Chinese Acad Sci, Beijing 100049, Peoples R China |
| 推荐引用方式 GB/T 7714 | Guo, Bao-Zhu,Zhang, Zhi-Xiong. On the well-posedness and regularity of the wave equation with variable coefficients[J]. ESAIM-CONTROL OPTIMISATION AND CALCULUS OF VARIATIONS,2007,13(4):776-792. |
| APA | Guo, Bao-Zhu,&Zhang, Zhi-Xiong.(2007).On the well-posedness and regularity of the wave equation with variable coefficients.ESAIM-CONTROL OPTIMISATION AND CALCULUS OF VARIATIONS,13(4),776-792. |
| MLA | Guo, Bao-Zhu,et al."On the well-posedness and regularity of the wave equation with variable coefficients".ESAIM-CONTROL OPTIMISATION AND CALCULUS OF VARIATIONS 13.4(2007):776-792. |
入库方式： OAI收割
来源：数学与系统科学研究院
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