4.2 Article

Stability estimate in the inverse scattering for a single quantum particle in an external short-range potential

Journal

COMPTES RENDUS MATHEMATIQUE
Volume 357, Issue 10, Pages 784-798

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ELSEVIER FRANCE-EDITIONS SCIENTIFIQUES MEDICALES ELSEVIER
DOI: 10.1016/j.crma.2019.09.009

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In this paper we consider the inverse scattering problem for the Schrodinger operator with short-range electric potential. We prove in dimension n >= 2 that the knowledge of the scattering operator determines the electric potential and we establish Holder-type stability in determining the short range electric potential. (C) 2019 Academie des sciences. Published by Elsevier Masson SAS. All rights reserved.

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