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We study the impedance boundary map (or Robin-to-Robin map) for theSchrodinger equation in open bounded demain at fixed energy in multidimensions.We give global stability estimates for determining potential from theseboundary data and, as corollary, from the Cauchy data set. Our results includealso, in particular, an extension of the Alessandrini identity to the case ofthe impedance boundary map.

Stability estimates for determination of potential from the impedance boundary map