Instability in the Gel'fand inverse problem at high energies

Mikhail Isaev (1)

1 CMAP - Centre de Mathématiques Appliquées - Ecole Polytechnique

We give an instability estimate for the Gel'fand inverse boundary value problem at high energies. Our instability estimate shows an optimality of several important preceeding stability results on inverse problems of such a type.

Domaines: Equations aux dérivées partielles [math.AP]

Mikhail Isaev. Instability in the Gel'fand inverse problem at high energies. Applicable Analysis, 2012, pp.DOI:10.1080/00036811.2012.731501. ⟨10.1080/00036811.2012.73150⟩. ⟨hal-00706957⟩