CSpace  > 应用数学研究所
Uniqueness in inverse acoustic and electromagnetic scattering by penetrable obstacles with embedded objects
Yang, Jiaqing1; Zhang, Bo2,3,4; Zhang, Haiwen3,5
2018-12-15
Source PublicationJOURNAL OF DIFFERENTIAL EQUATIONS
ISSN0022-0396
Volume265Issue:12Pages:6352-6383
AbstractThis paper considers the inverse problem of scattering of time-harmonic acoustic and electromagnetic plane waves by a bounded, inhomogeneous, penetrable obstacle with embedded objects inside. A new method is proposed to prove that the inhomogeneous penetrable obstacle can be uniquely determined from the far-field pattern at a fixed frequency, disregarding its contents. Our method is based on constructing a well-posed interior transmission problem in a small domain associated with the Helmholtz or modified Helmholtz equation and the Maxwell or modified Maxwell equations. A key role is played by the smallness of the domain which ensures that the lowest transmission eigenvalue is large so that a given wave number k is not an eigenvalue of the interior transmission problem. Another ingredient in our proofs is a priori estimates of solutions to the transmission scattering problems with data in L-P (1 < p < 2), which are established in this paper by using the integral equation method. A main feature of the new method is that it can deal with the acoustic and electromagnetic cases in a unified way and can be easily applied to deal with inverse scattering by unbounded rough interfaces. (C) 2018 Elsevier Inc. All rights reserved.
DOI10.1016/j.jde.2018.07.033
Language英语
Funding ProjectNNSF of China[91630309] ; NNSF of China[11501558] ; NNSF of China[11771349] ; China Postdoctoral Science Foundation[2015M580827] ; China Postdoctoral Science Foundation[2016T90900] ; Postdoctoral research project of Shaanxi Province of China[2016BSHY-DZZ52]
WOS Research AreaMathematics
WOS SubjectMathematics
WOS IDWOS:000447902000010
PublisherACADEMIC PRESS INC ELSEVIER SCIENCE
Citation statistics
Cited Times:2[WOS]   [WOS Record]     [Related Records in WOS]
Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/31349
Collection应用数学研究所
Affiliation1.Xi An Jiao Tong Univ, Sch Math & Stat, Xian 710049, Shaanxi, Peoples R China
2.Chinese Acad Sci, LSEC, NCMIS, Beijing 100190, Peoples R China
3.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China
4.Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China
5.Chinese Acad Sci, NCMIS, Beijing 100190, Peoples R China
Recommended Citation
GB/T 7714
Yang, Jiaqing,Zhang, Bo,Zhang, Haiwen. Uniqueness in inverse acoustic and electromagnetic scattering by penetrable obstacles with embedded objects[J]. JOURNAL OF DIFFERENTIAL EQUATIONS,2018,265(12):6352-6383.
APA Yang, Jiaqing,Zhang, Bo,&Zhang, Haiwen.(2018).Uniqueness in inverse acoustic and electromagnetic scattering by penetrable obstacles with embedded objects.JOURNAL OF DIFFERENTIAL EQUATIONS,265(12),6352-6383.
MLA Yang, Jiaqing,et al."Uniqueness in inverse acoustic and electromagnetic scattering by penetrable obstacles with embedded objects".JOURNAL OF DIFFERENTIAL EQUATIONS 265.12(2018):6352-6383.
Files in This Item:
There are no files associated with this item.
Related Services
Recommend this item
Bookmark
Usage statistics
Export to Endnote
Google Scholar
Similar articles in Google Scholar
[Yang, Jiaqing]'s Articles
[Zhang, Bo]'s Articles
[Zhang, Haiwen]'s Articles
Baidu academic
Similar articles in Baidu academic
[Yang, Jiaqing]'s Articles
[Zhang, Bo]'s Articles
[Zhang, Haiwen]'s Articles
Bing Scholar
Similar articles in Bing Scholar
[Yang, Jiaqing]'s Articles
[Zhang, Bo]'s Articles
[Zhang, Haiwen]'s Articles
Terms of Use
No data!
Social Bookmark/Share
All comments (0)
No comment.
 

Items in the repository are protected by copyright, with all rights reserved, unless otherwise indicated.