Article Dans Une Revue Eurasian Journal of Mathematical and Computer Applications Année : 2013

Reconstruction of a potential from the impedance boundary map

Résumé

We give formulas and equations for finding generalized scattering data for the Schrödinger 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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Dates et versions

hal-00684169 , version 1 (30-03-2012)
hal-00684169 , version 2 (26-12-2012)

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Mikhail Isaev, Roman Novikov. Reconstruction of a potential from the impedance boundary map. Eurasian Journal of Mathematical and Computer Applications, 2013, 1 (1), pp.5-28. ⟨hal-00684169v2⟩
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