Multidimensional Borg–Levinson uniqueness and stability results for the Robin Laplacian with unbounded potential

Abstract

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 ${\mathbb{R}}^n$, $n\ge 3$, 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 partial or full Dirichlet measurement of the eigenfunctions on the boundary of the domain.