KMS Of Academy of mathematics and systems sciences, CAS
| Simultaneous recovery of a locally rough interface and the embedded obstacle with its surrounding medium | |
Yang, Jiaqing1; Li, Jianliang2; Zhang, Bo3,4,5
| |
| 2022-04-01 | |
| Source Publication | INVERSE PROBLEMS
 |
| ISSN | 0266-5611 |
| Volume | 38Issue:4Pages:20 |
| Abstract | Consider the problem of scattering of time-harmonic point sources by an infinite locally rough interface with bounded obstacles embedded in the lower half-space. The model problem is first reduced to an equivalent integral equation formulation defined in a bounded domain, where the well-posedness is obtained in L ( p ) by the classical Fredholm theory. Then a global uniqueness theorem is proved for the inverse problem of recovering the locally rough interface, the embedded obstacles and the wave number in the lower-half space by means of near-field measurements above the interface. |
| Keyword | inverse acoustic scattering Lippmann-Schwinger equation uniqueness rough interface embedded obstacle |
| DOI | 10.1088/1361-6420/ac572a |
| Indexed By | SCI |
| Language | 英语 |
| Funding Project | NNSF of China[12122114] ; NNSF of China[11771349] ; NNSF of China[12171057] |
| WOS Research Area | Mathematics ; Physics |
| WOS Subject | Mathematics, Applied ; Physics, Mathematical |
| WOS ID | WOS:000771738000001 |
| Publisher | IOP Publishing Ltd |
| Citation statistics | |
| Document Type | 期刊论文 |
| Identifier | http://ir.amss.ac.cn/handle/2S8OKBNM/60167 |
| Collection | 应用数学研究所 |
| Corresponding Author | Li, Jianliang |
| Affiliation | 1.Xi An Jiao Tong Univ, Sch Math & Stat, Xian 710049, Shaanxi, Peoples R China 2.Yunnan Univ, Sch Math & Stat, Kunming 650091, Yunnan, Peoples R China 3.Chinese Acad Sci, LSEC, Beijing 100190, Peoples R China 4.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China 5.Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China |
| Recommended Citation GB/T 7714 | Yang, Jiaqing,Li, Jianliang,Zhang, Bo. Simultaneous recovery of a locally rough interface and the embedded obstacle with its surrounding medium[J]. INVERSE PROBLEMS,2022,38(4):20. |
| APA | Yang, Jiaqing,Li, Jianliang,&Zhang, Bo.(2022).Simultaneous recovery of a locally rough interface and the embedded obstacle with its surrounding medium.INVERSE PROBLEMS,38(4),20. |
| MLA | Yang, Jiaqing,et al."Simultaneous recovery of a locally rough interface and the embedded obstacle with its surrounding medium".INVERSE PROBLEMS 38.4(2022):20. |
| Files in This Item: | There are no files associated with this item. | |||||
Items in the repository are protected by copyright, with all rights reserved, unless otherwise indicated.
Edit Comment