# American Institute of Mathematical Sciences

doi: 10.3934/ipi.2021022

## Stable recovery of a non-compactly supported coefficient of a Schrödinger equation on an infinite waveguide

 Université de Tunis El Manar, Ecole Nationale d'Ingénieurs de Tunis, ENIT-LAMSIN, B.P. 37, 1002 Tunis, Tunisia, Aix Marseille Université, Université de Toulon, CNRS, CPT, Marseille, France

Received  February 2020 Revised  October 2020 Published  March 2021

We study the stability issue for the inverse problem of determining a coefficient appearing in a Schrödinger equation defined on an infinite cylindrical waveguide. More precisely, we prove the stable recovery of some general class of non-compactly and non periodic coefficients appearing in an unbounded cylindrical domain. We consider both results of stability from full and partial boundary measurements associated with the so called Dirichlet-to-Neumann map.

Citation: Yosra Soussi. Stable recovery of a non-compactly supported coefficient of a Schrödinger equation on an infinite waveguide. Inverse Problems & Imaging, doi: 10.3934/ipi.2021022
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