Stability estimate for the aligned magnetic field in a periodic quantum waveguide from Dirichlet-to-Neumann map

Youssef Mejri (1, 2, 3)

1 UTM - Université de Tunis El Manar
2 CPT - Centre de Physique Théorique - UMR 7332
3 CPT - E8 Dynamique quantique et analyse spectrale

In this article, we study the boundary inverse problem of determining the aligned magnetic fiaeld appearing in the magnetic Schrödinger equation in a periodic quantum cylindrical waveguide. Provided that the Dirichlet-to-Neumann map of the magnetic Schrödinger equation. We prove a Hölder stability estimate with respect to the Dirichlet-to-Neumann map, by means of the geometrical optics solutions of the magnetic Schrodinger equation.

Domaines: Equations aux dérivées partielles [math.AP]

Youssef Mejri. Stability estimate for the aligned magnetic field in a periodic quantum waveguide from Dirichlet-to-Neumann map. Journal of Mathematical Physics, 2016, 57 (6), pp.061502 ⟨10.1063/1.4953687⟩. ⟨hal-01657181⟩