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DIRECT AND INVERSE OBSTACLE SCATTERING PROBLEMS IN A PIECEWISE HOMOGENEOUS MEDIUM

文献类型：期刊论文

作者Liu, Xiaodong1,2; Zhang, Bo1,2
刊名SIAM JOURNAL ON APPLIED MATHEMATICS
出版日期2010
卷号70期号:8页码:3105-3120
关键词uniqueness piecewise homogeneous medium acoustic Holmgren's uniqueness theorem inverse scattering
ISSN号0036-1399
DOI10.1137/090777578
英文摘要This paper is concerned with the problem of scattering of time-harmonic acoustic waves from an impenetrable obstacle in a piecewise homogeneous medium. The well-posedness of the direct problem is established, employing the integral equation method, and then used, in conjunction with the representation in a combination of layer potentials of the solution, to prove a priori estimates of solutions on some part of the interface between the layered media. The inverse problem is also considered in this paper. A uniqueness result is obtained for the first time in determining both the penetrable interface and the impenetrable obstacle with its physical property from a knowledge of the far field pattern for incident plane waves. In doing so, an important role is played by the a priori estimates of the solution for the direct problem.
资助项目NNSF of China[11071244]
WOS研究方向Mathematics
语种英语
WOS记录号WOS:000285548900015
出版者SIAM PUBLICATIONS
源URL[http://ir.amss.ac.cn/handle/2S8OKBNM/9987]  
专题应用数学研究所
通讯作者Liu, Xiaodong
作者单位1.Chinese Acad Sci, AMSS, LSEC, Beijing 100190, Peoples R China
2.Chinese Acad Sci, AMSS, Inst Appl Math, Beijing 100190, Peoples R China
推荐引用方式
GB/T 7714		 Liu, Xiaodong,Zhang, Bo. DIRECT AND INVERSE OBSTACLE SCATTERING PROBLEMS IN A PIECEWISE HOMOGENEOUS MEDIUM[J]. SIAM JOURNAL ON APPLIED MATHEMATICS,2010,70(8):3105-3120.
APA Liu, Xiaodong,&Zhang, Bo.(2010).DIRECT AND INVERSE OBSTACLE SCATTERING PROBLEMS IN A PIECEWISE HOMOGENEOUS MEDIUM.SIAM JOURNAL ON APPLIED MATHEMATICS,70(8),3105-3120.
MLA Liu, Xiaodong,et al."DIRECT AND INVERSE OBSTACLE SCATTERING PROBLEMS IN A PIECEWISE HOMOGENEOUS MEDIUM".SIAM JOURNAL ON APPLIED MATHEMATICS 70.8(2010):3105-3120.

入库方式： OAI收割

来源：数学与系统科学研究院

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