Approximate Lipschitz stability for non-overdetermined inverse scattering at fixed energy

Roman Novikov (1)

1 CMAP - Centre de Mathématiques Appliquées - Ecole Polytechnique

We prove approximate Lipschitz stability for non-overdetermined inverse scattering at fixed energy with incomplete data in dimension d ≥ 2. Our estimates are given in uniform norm for coefficient difference and related stability precision efficiently increases with increasing energy and coefficient difference regularity. In addition, our estimates are rather optimal even in the Born approximation.

Domaines: Equations aux dérivées partielles [math.AP]; Physique mathématique [math-ph]; Physique mathématique [math-ph]

Roman Novikov. Approximate Lipschitz stability for non-overdetermined inverse scattering at fixed energy. Journal of Inverse and Ill-posed Problems, 2013, 21 (6), pp.813-823. ⟨hal-00764113⟩