Stability estimates for recovering the potential by the impedance boundary map

M. I. Isaev; R. G. Novikov

doi:10.1090/S1061-0022-2013-01278-7

Stability estimates for recovering the potential by the impedance boundary map

M. I. Isaev
, R. G. Novikov

Ecole polytechnique
Moscow Institute of Physics and Technology
IEPT RAS

Résultats de recherche: Contribution à un journal › Article › Revue par des pairs

Résumé

The impedance boundary map (or Robin-to-Robin map) is studied for the Schrödinger equation in an open bounded domain for fixed energy in the multidimensional case. Global stability estimates are given for recovering the potential by these boundary data and, as a corollary, by the Cauchy data set. In particular, the results include an extension of the Alessandrini identity to the case of the impedance boundary map.

langue originale	Anglais
Pages (de - à)	23-41
Nombre de pages	19
journal	St. Petersburg Mathematical Journal
Volume	25
Numéro de publication	1
Les DOIs	https://doi.org/10.1090/S1061-0022-2013-01278-7
état	Publié - 1 janv. 2013

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10.1090/S1061-0022-2013-01278-7

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title = "Stability estimates for recovering the potential by the impedance boundary map",

abstract = "The impedance boundary map (or Robin-to-Robin map) is studied for the Schr{\"o}dinger equation in an open bounded domain for fixed energy in the multidimensional case. Global stability estimates are given for recovering the potential by these boundary data and, as a corollary, by the Cauchy data set. In particular, the results include an extension of the Alessandrini identity to the case of the impedance boundary map.",

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AB - The impedance boundary map (or Robin-to-Robin map) is studied for the Schrödinger equation in an open bounded domain for fixed energy in the multidimensional case. Global stability estimates are given for recovering the potential by these boundary data and, as a corollary, by the Cauchy data set. In particular, the results include an extension of the Alessandrini identity to the case of the impedance boundary map.

KW - Impedance boundary map

KW - Inverse boundary value problems

KW - Stability estimate

UR - https://www.scopus.com/pages/publications/84889663981

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DO - 10.1090/S1061-0022-2013-01278-7

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Stability estimates for recovering the potential by the impedance boundary map

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