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Uniqueness in potential scattering with reduced data |
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| Authors: | Evgeny Lakshtanov Boris Vainberg |
| Institution: | 1. Department of Mathematics, University of Aveiro, Aveiro, Portugallakshtanov@ua.pt;3. Department of Mathematics and Statistics, University of North Carolina, Charlotte, NC, USA |
| Abstract: | We consider inverse potential scattering problems where the source of the incident waves is located on a smooth closed surface outside of the inhomogeneity of the media. The scattered waves are measured on the same surface at a fixed value of the energy. We show that these data determine the bounded potential uniquely. |
| Keywords: | Backscattering inverse problem scattering data uniqueness |