Effectivized Holder-logarithmic stability estimates for the Gel'fand inverse problem - Archive ouverte HAL
Article Dans Une Revue Inverse Problems Année : 2014

Effectivized Holder-logarithmic stability estimates for the Gel'fand inverse problem

Résumé

We give effectivized Holder-logarithmic energy and regularity dependent stability estimates for the Gel'fand inverse boundary value problem in dimension $d=3$. This effectivization includes explicit dependance of the estimates on coefficient norms and related parameters. Our new estimates are given in $L^2$ and $L^\infty$ norms for the coefficient difference and related stability efficiently increases with increasing energy and/or coefficient difference regularity. Comparisons with preceeding results are given.
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Dates et versions

hal-00968926 , version 1 (01-04-2014)

Identifiants

Citer

Mikhail Isaev, Roman Novikov. Effectivized Holder-logarithmic stability estimates for the Gel'fand inverse problem. Inverse Problems, 2014, 30 (9), pp.19. ⟨hal-00968926⟩
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