DIRECT AND INVERSE OBSTACLE SCATTERING PROBLEMS IN A PIECEWISE HOMOGENEOUS MEDIUM

doi:10.1137/090777578

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	DIRECT AND INVERSE OBSTACLE SCATTERING PROBLEMS IN A PIECEWISE HOMOGENEOUS MEDIUM
	Liu, Xiaodong1,2 ; Zhang, Bo1,2
	2010
发表期刊	SIAM JOURNAL ON APPLIED MATHEMATICS
ISSN	0036-1399
卷号	70 期号:8 页码:3105-3120
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.
关键词	uniqueness piecewise homogeneous medium acoustic Holmgren's uniqueness theorem inverse scattering
DOI	10.1137/090777578
语种	英语
资助项目	NNSF of China[11071244]
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied
WOS记录号	WOS:000285548900015
出版者	SIAM PUBLICATIONS
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/9988
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.