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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 PublicationINVERSE PROBLEMS
ISSN0266-5611
Volume38Issue:4Pages:20
AbstractConsider 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.
Keywordinverse acoustic scattering Lippmann-Schwinger equation uniqueness rough interface embedded obstacle
DOI10.1088/1361-6420/ac572a
Indexed BySCI
Language英语
Funding ProjectNNSF of China[12122114] ; NNSF of China[11771349] ; NNSF of China[12171057]
WOS Research AreaMathematics ; Physics
WOS SubjectMathematics, Applied ; Physics, Mathematical
WOS IDWOS:000771738000001
PublisherIOP Publishing Ltd
Citation statistics
Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/60167
Collection应用数学研究所
Corresponding AuthorLi, Jianliang
Affiliation1.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.
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