Stable determination of time-dependent scalar potential from boundary measurements in a periodic quantum waveguide

Mourad Choulli (1) , Yavar Kian (2, 3) , Eric Soccorsi (3, 2)

1 IECL - Institut Élie Cartan de Lorraine
2 CPT - E8 Dynamique quantique et analyse spectrale
3 CPT - Centre de Physique Théorique - UMR 7332

We prove logarithmic stability in the determination of the time-dependent scalar potential in a 1-periodic quantum cylindrical waveguide, from the boundary measurements of the solution to the dynamic Schrödinger equation.

Mots clés: stability inequality

Mots clés: in nite cylindrical quantum waveguide; Schrödinger equation; stability inequality.; periodic scalar potential

Domaines: Equations aux dérivées partielles [math.AP]

Mourad Choulli, Yavar Kian, Eric Soccorsi. Stable determination of time-dependent scalar potential from boundary measurements in a periodic quantum waveguide. SIAM Journal on Mathematical Analysis, 2015, 47 (6), pp.4536-4558. ⟨10.1137/140986268⟩. ⟨hal-00839344⟩