Simultaneous Identification of the Diffusion Coefficient and the Potential for the Schrödinger Operator with only one Observation

Laure Cardoulis (1) , Patricia Gaitan (2)

1 MIP - Mathématiques pour l'Industrie et la Physique
2 LATP - Laboratoire d'Analyse, Topologie, Probabilités

This article is devoted to prove a stability result for two independent coefficients for a Schrödinger operator in an unbounded strip. The result is obtained with only one observation on an unbounded subset of the boundary and the data of the solution at a fixed time on the whole domain.

Mots clés: Problème Inverse; Opérateur de Schrödinger non stationnaire; Stabilité

Domaines: Equations aux dérivées partielles [math.AP]

Laure Cardoulis, Patricia Gaitan. Simultaneous Identification of the Diffusion Coefficient and the Potential for the Schrödinger Operator with only one Observation. Inverse Problems, 2010, 26 (3). ⟨hal-00432821v3⟩