Energy decay for the Cauchy problem of the linear wave equation of variable coefficients with dissipation
文献类型：期刊论文
| 作者 | Yao, Pengfei
|
| 刊名 | CHINESE ANNALS OF MATHEMATICS SERIES B
 |
| 出版日期 | 2010 |
| 卷号 | 31期号:1页码:59-70 |
| 关键词 | Wave equation Riemannian metric Localized dissipation near infinity |
| ISSN号 | 0252-9599 |
| DOI | 10.1007/s11401-008-0421-2 |
| 英文摘要 | Decay of the energy for the Cauchy problem of the wave equation of variable coefficients with a dissipation is considered. It is shown that whether a dissipation can be localized near infinity depends on the curvature properties of a Riemannian metric given by the variable coefficients. In particular, some criteria on curvature of the Riemannian manifold for a dissipation to be localized are given. |
| 语种 | 英语 |
| WOS记录号 | WOS:000272914900004 |
| 出版者 | SHANGHAI SCIENTIFIC TECHNOLOGY LITERATURE PUBLISHING HOUSE |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/10942]  |
| 专题 | 系统科学研究所 |
| 通讯作者 | Yao, Pengfei |
| 作者单位 | Chinese Acad Sci, Inst Syst Sci, Acad Math & Syst Sci, Key Lab Control & Syst, Beijing 100190, Peoples R China |
| 推荐引用方式 GB/T 7714 | Yao, Pengfei. Energy decay for the Cauchy problem of the linear wave equation of variable coefficients with dissipation[J]. CHINESE ANNALS OF MATHEMATICS SERIES B,2010,31(1):59-70. |
| APA | Yao, Pengfei.(2010).Energy decay for the Cauchy problem of the linear wave equation of variable coefficients with dissipation.CHINESE ANNALS OF MATHEMATICS SERIES B,31(1),59-70. |
| MLA | Yao, Pengfei."Energy decay for the Cauchy problem of the linear wave equation of variable coefficients with dissipation".CHINESE ANNALS OF MATHEMATICS SERIES B 31.1(2010):59-70. |
入库方式： OAI收割
来源：数学与系统科学研究院
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