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On recovering obstacles inside inhomogeneities. (English) Zbl 0915.35116
Authors’ abstract: “We consider acoustic scattering from an obstacle inside an inhomogeneous structure. We prove that if the outside inhomogeneity is known then the obstacle and possible inside inhomogeneity are uniquely determined by the fixed energy far field data. The proof is based on new mapping properties of layer potentials in spaces that specify one point”.

35R30 Inverse problems for PDEs
35P25 Scattering theory for PDEs
35J05 Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation
Full Text: DOI
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