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| HAL: hal-00652562, version 1 |
| arXiv: 1112.3728 |
| Detailed view |  Export this paper |
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| Available versions: | v1 (2011-12-16) | v2 (2012-02-06) | v3 (2012-02-22) |
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| Stability estimates for determination of potential from the impedance boundary map |
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| Mikhail Isaev 1Roman Novikov 1 |
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| (2011-12-15) |
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| 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. |
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| 1: | Centre de Mathématiques Appliquées - Ecole Polytechnique (CMAP) |
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Polytechnique - X – CNRS : UMR7641 |
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| Subject | : | Mathematics/Analysis of PDEs Physics/Mathematical Physics Mathematics/Mathematical Physics |
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| hal-00652562, version 1 | |
| http://hal.archives-ouvertes.fr/hal-00652562 | |
| oai:hal.archives-ouvertes.fr:hal-00652562 | |
| From: Mikhail Isaev | |
| Submitted on: Thursday, 15 December 2011 18:54:12 | |
| Updated on: Friday, 16 December 2011 08:43:00 | |
