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INVERSE SOURCE PROBLEMS IN ELECTRODYNAMICS
Hu, Guanghui1; Li, Peijun2; Liu, Xiaodong3; Zhao, Yue4
2018-12-01
Source PublicationINVERSE PROBLEMS AND IMAGING
ISSN1930-8337
Volume12Issue:6Pages:1411-1428
AbstractThis paper concerns inverse source problems for the time-dependent Maxwell equations. The electric current density is assumed to be the product of a spatial function and a temporal function. We prove uniqueness and stability in determining the spatial or temporal function from the electric field, which is measured on a sphere or at a point over a finite time interval.
KeywordStability uniqueness inverse source problem Maxwell's equations
DOI10.3934/ipi.2018059
Language英语
Funding ProjectNSF[DMS-1151308] ; NSFC[11671028] ; NSAF[U1530401] ; NNSF of China[11571355] ; Youth Innovation Promotion Association, CAS
WOS Research AreaMathematics ; Physics
WOS SubjectMathematics, Applied ; Physics, Mathematical
WOS IDWOS:000446989100007
PublisherAMER INST MATHEMATICAL SCIENCES-AIMS
Citation statistics
Cited Times:1[WOS]   [WOS Record]     [Related Records in WOS]
Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/31402
Collection应用数学研究所
Affiliation1.Beijing Computat Sci Res Ctr, Bldg 9,ZPark 2,10 Xibeiwang East Rd, Beijing 100193, Peoples R China
2.Purdue Univ, Dept Math, W Lafayette, IN 47907 USA
3.Chinese Acad Sci, Acad Math & Syst Sci, Inst Appl Math, Beijing 100190, Peoples R China
4.Cent China Normal Univ, Sch Math & Stat, Wuhan 430079, Hubei, Peoples R China
Recommended Citation
GB/T 7714
Hu, Guanghui,Li, Peijun,Liu, Xiaodong,et al. INVERSE SOURCE PROBLEMS IN ELECTRODYNAMICS[J]. INVERSE PROBLEMS AND IMAGING,2018,12(6):1411-1428.
APA Hu, Guanghui,Li, Peijun,Liu, Xiaodong,&Zhao, Yue.(2018).INVERSE SOURCE PROBLEMS IN ELECTRODYNAMICS.INVERSE PROBLEMS AND IMAGING,12(6),1411-1428.
MLA Hu, Guanghui,et al."INVERSE SOURCE PROBLEMS IN ELECTRODYNAMICS".INVERSE PROBLEMS AND IMAGING 12.6(2018):1411-1428.
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