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T1 - Inverse medium problem for a singular contrast
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UR - http://hdl.handle.net/10138/323142
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A1 - Serov, V.; Tyni, T.
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Y1 - 2019
LA - eng
AB - We consider an inverse medium problem in two- and three-dimensional cases. Namely, we investigate the problem of reconstruction of unknown compactly supported refractive index (contrast) from L-2 with a fixed positive wave number. The proof is based on the new estimates for the Green-Faddeev function in L-infinity space. The main goal of this work is to prove a uniqueness result in the two- and three-dimensional cases and to discuss some possible constructive methods for solving the problem. Fin...
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KW - SCATTERING PROBLEM; SCHRODINGER OPERATOR; 111 Mathematics
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