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arXiv · 1204.0076

Reconstruction of a potential from the impedance boundary map

Mikhail Isaev·Roman Novikov
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Abstract

We give formulas and equations for finding generalized scattering data for the Schr\"odinger equation in open bounded domain at fixed energy from the impedance boundary map (or Robin-to-Robin map). Combining these results with results of the inverse scattering theory we obtain efficient methods for reconstructing potential from the impedance boundary map.

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Mikhail Isaev, Roman Novikov. 2012-03-31. Reconstruction of a potential from the impedance boundary map. https://arxiv.org/abs/1204.0076

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