Exponential instability in the inverse scattering problem on the energy interval - Archive ouverte HAL
Article Dans Une Revue Functional Analysis and Its Applications Année : 2013

Exponential instability in the inverse scattering problem on the energy interval

Résumé

We consider the inverse scattering problem on the energy interval in three dimensions. We are focused on stability and instability questions for this problem. In particular, we prove an exponential instability estimate which shows optimality of the logarithmic stability result of [Stefanov, 1990] (up to the value of the exponent).
Fichier principal
Vignette du fichier
Scattering_instability.pdf (177.86 Ko) Télécharger le fichier
Origine Fichiers produits par l'(les) auteur(s)
Loading...

Dates et versions

hal-00550233 , version 1 (25-12-2010)

Identifiants

Citer

Mikhail Isaev. Exponential instability in the inverse scattering problem on the energy interval. Functional Analysis and Its Applications, 2013, 47 (3), pp.8. ⟨hal-00550233⟩
204 Consultations
81 Téléchargements

Altmetric

Partager

More