INVERSE SOURCE PROBLEMS FOR THE STOCHASTIC WAVE EQUATIONS: FAR-FIELD PATTERNS
文献类型：期刊论文
| 作者 | Li, Jianliang1; Li, Peijun2; Wang, Xu3,4 |
| 刊名 | SIAM JOURNAL ON APPLIED MATHEMATICS
 |
| 出版日期 | 2022 |
| 卷号 | 82期号:4页码:1113-1134 |
| 关键词 | Key words inverse source problem stochastic wave equation Gaussian random field pseudodifferential operator far-field pattern uniqueness |
| ISSN号 | 0036-1399 |
| DOI | 10.1137/21M1467663 |
| 英文摘要 | This paper addresses the direct and inverse source problems for the stochastic acous-tic, biharmonic, electromagnetic, and elastic wave equations in a unified framework. The driven source is assumed to be a centered generalized microlocally isotropic Gaussian random field, whose covariance and relation operators are classical pseudodifferential operators. Given the random source, the direct problems are shown to be well-posed in the sense of distributions and the regularity of the solutions are given. For the inverse problems, we demonstrate by ergodicity that the principal symbols of the covariance and relation operators can be uniquely determined by a single realization of the far-field pattern averaged over the frequency band with probability one. |
| 资助项目 | NNSF of China[12171057] ; NNSF of China[11871068] ; NNSF of China[DMS-1912704] ; NSF[11971470] |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000830588400001 |
| 出版者 | SIAM PUBLICATIONS |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/61139]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 通讯作者 | Li, Jianliang |
| 作者单位 | 1.Yunnan Univ, Sch Math & Stat, Kunming 650091, Yunnan, Peoples R China 2.Purdue Univ, Dept Math, W Lafayette, IN 47907 USA 3.Chinese Acad Sci, Acad Math & Syst Sci, ICMSEC, LSEC, Beijing 100190, Peoples R China 4.Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China |
| 推荐引用方式 GB/T 7714 | Li, Jianliang,Li, Peijun,Wang, Xu. INVERSE SOURCE PROBLEMS FOR THE STOCHASTIC WAVE EQUATIONS: FAR-FIELD PATTERNS[J]. SIAM JOURNAL ON APPLIED MATHEMATICS,2022,82(4):1113-1134. |
| APA | Li, Jianliang,Li, Peijun,&Wang, Xu.(2022).INVERSE SOURCE PROBLEMS FOR THE STOCHASTIC WAVE EQUATIONS: FAR-FIELD PATTERNS.SIAM JOURNAL ON APPLIED MATHEMATICS,82(4),1113-1134. |
| MLA | Li, Jianliang,et al."INVERSE SOURCE PROBLEMS FOR THE STOCHASTIC WAVE EQUATIONS: FAR-FIELD PATTERNS".SIAM JOURNAL ON APPLIED MATHEMATICS 82.4(2022):1113-1134. |
入库方式： OAI收割
来源：数学与系统科学研究院
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