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Article Dans Une Revue Inverse Problems and Imaging Année : 2021

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

Résumé

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.

Dates et versions

hal-03537526 , version 1 (20-01-2022)

Identifiants

Citer

Yosra Soussi. Stable recovery of a non-compactly supported coefficient of a Schrödinger equation on an infinite waveguide. Inverse Problems and Imaging , 2021, 15 (5), pp.929-950. ⟨10.3934/ipi.2021022⟩. ⟨hal-03537526⟩
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