Stable recovery of noncompactly supported electromagnetic potentials in unbounded domain

Yavar Kian (1, 2) , Yosra Soussi (2, 3, 1)

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

We consider the inverse problem of determining an electromagnetic potential appearing in an infinite cylindrical domain from boundary measurements. More precisely, we prove the stable recovery of a general class of magnetic field and electric potential from boundary measurements. Assuming the knowledge of the unknown coefficients close to the boundary, we obtain other results of stable recovery with measurements restricted to some portion of the boundary. Our approach combines construction of complex geometric optics solutions and Carleman estimates suitably designed for our stability results stated in an unbounded domain.

Domaines: Equations aux dérivées partielles [math.AP]

Yavar Kian, Yosra Soussi. Stable recovery of noncompactly supported electromagnetic potentials in unbounded domain. 2023. ⟨hal-03381627⟩