Reconstruction of a potential from the impedance boundary map

Details Reconstruction of a potential from the impedance boundary map Reconstruction of a potential from the impedance boundary map

2012-03-31

arxiv.org/abs/1204.0076v1

Mathematics

Analysis of PDEs

Scientific paper

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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