arXiv subjects

Abdelmalek Metidji

Publications and source records attributed to Abdelmalek Metidji.

2 recordsLinked to original sources

arXiv2025

Determination of the Schrödinger-Robin operator by incomplete or asymptotic spectral boundary data

This article deals with the inverse problem of determining the unbounded real-valued electric potential of the Robin Laplacian on a bounded domain of dimension 3 or greater, by incomplete knowledge of its boundary spectral data. Namely, the main result establishes that the unknown potential can be Hölder stably retrieved from the asymptotic behavior of the eigenvalues and the sequence of the boundary measurements of the corresponding eigenfunctions where finitely many terms are missing.

math.AP↗

arXiv2024

Multidimensionnel Borg-Levinson uniqueness and stability results for the Robin Laplacian with unbounded potential

This article deals with the uniqueness and stability issues in the inverse problem of determining the unbounded potential of the Schrödinger operator in a bounded domain of dimension 3 or greater, endowed with Robin boundary condition, from knowledge of its boundary spectral data. These data are defined by the pairs formed by the eigenvalues and either full or partial Dirichlet measurement of the eigenfunctions on the boundary of the domain.

math.AP↗