CARLEMAN AND OBSERVABILITY ESTIMATES FOR STOCHASTIC WAVE EQUATIONS
文献类型：期刊论文
| 作者 | Zhang, Xu1,2 |
| 刊名 | SIAM JOURNAL ON MATHEMATICAL ANALYSIS
 |
| 出版日期 | 2008 |
| 卷号 | 40期号:2页码:851-868 |
| 关键词 | Carleman estimate singular weight function observability estimate stochastic wave equation state observation problem |
| ISSN号 | 0036-1410 |
| DOI | 10.1137/070685786 |
| 英文摘要 | Based on a fundamental identity for stochastic hyperbolic-like operators, we derive in this paper a global Carleman estimate (with singular weight function) for stochastic wave equations. This leads to an observability estimate for stochastic wave equations with nonsmooth lower order terms. Moreover, the observability constant is estimated by means of an explicit function of the norm of the coefficients involved in the equation. An application to the state observation problem for semilinear stochastic wave equations is also given. |
| 语种 | 英语 |
| WOS记录号 | WOS:000259955700018 |
| 出版者 | SIAM PUBLICATIONS |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/6845]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 通讯作者 | Zhang, Xu |
| 作者单位 | 1.Chinese Acad Sci, Acad Math & Syst Sci, Key Lab Syst & Control, Beijing 100080, Peoples R China 2.Sichuan Univ, Yangtze Ctr Math, Chengdu 610064, Peoples R China |
| 推荐引用方式 GB/T 7714 | Zhang, Xu. CARLEMAN AND OBSERVABILITY ESTIMATES FOR STOCHASTIC WAVE EQUATIONS[J]. SIAM JOURNAL ON MATHEMATICAL ANALYSIS,2008,40(2):851-868. |
| APA | Zhang, Xu.(2008).CARLEMAN AND OBSERVABILITY ESTIMATES FOR STOCHASTIC WAVE EQUATIONS.SIAM JOURNAL ON MATHEMATICAL ANALYSIS,40(2),851-868. |
| MLA | Zhang, Xu."CARLEMAN AND OBSERVABILITY ESTIMATES FOR STOCHASTIC WAVE EQUATIONS".SIAM JOURNAL ON MATHEMATICAL ANALYSIS 40.2(2008):851-868. |
入库方式： OAI收割
来源：数学与系统科学研究院
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