Energy and regularity dependent stability estimates for the Gel'fand inverse problem in multidimensions - Archive ouverte HAL
Article Dans Une Revue Journal of Inverse and Ill-posed Problems Année : 2012

Energy and regularity dependent stability estimates for the Gel'fand inverse problem in multidimensions

Résumé

We prove new global Hölder-logarithmic stability estimates for the Gel'fand inverse problem at fixed energy in dimension $d\geq 3$. Our estimates are given in uniform norm for coefficient difference and related stability efficiently increases with increasing energy and/or coefficient regularity. Comparisons with preceeding results in this direction are given.
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Dates et versions

hal-00689636 , version 1 (19-04-2012)

Identifiants

  • HAL Id : hal-00689636 , version 1

Citer

Mikhail Isaev, Roman Novikov. Energy and regularity dependent stability estimates for the Gel'fand inverse problem in multidimensions. Journal of Inverse and Ill-posed Problems, 2012, 20 (3), pp.313-325. ⟨hal-00689636⟩
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