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1 CMAP - Centre de Mathématiques Appliquées - Ecole Polytechnique

Abstract : We study the impedance boundary map or Robin-to-Robin map for the Schrodinger equation in open bounded demain at fixed energy in multidimensions. We give global stability estimates for determining potential from these boundary data and, as corollary, from the Cauchy data set. Our results include also, in particular, an extension of the Alessandrini identity to the case of the impedance boundary map.





Author: Mikhail Isaev - Roman Novikov -

Source: https://hal.archives-ouvertes.fr/



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