Stability inequality for the scalar potential in an infinite quantum waveguide

Quang Sang Phan (1) , Eric Soccorsi (1)

1 CPT - Centre de Physique Théorique - UMR 7332

We prove Lipschitz stability in the determination of the scalar potential in the dynamic Schrödinger equation in an infinite waveguide from one boundary observation and one (arbitrarily small with respect to the infinite direction of the waveguide) internal measurement of the solution.

Mots clés: Inverse problem; Schrödinger equation; scalar potential; Carleman estimate; infinite waveguide

Domaines: Equations aux dérivées partielles [math.AP]

Quang Sang Phan, Eric Soccorsi. Stability inequality for the scalar potential in an infinite quantum waveguide. 2013. ⟨hal-00820440v1⟩