Geodesic
Multidimensional Borg–Levinson uniqueness and stability results for the Robin Laplacian with unbounded potential
Documenta mathematica, Tome 29 (2024) no. 4, pp. 959-984

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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 Rn, n≥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.
DOI : 10.4171/dm/964
Classification : 35R30, 35J10
Mots-clés : boundary spectral data, Robin boundary condition, Borg–Levinson type theorem, Dirichlet-to-Neumann map 
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Mourad Choulli; Abdelmalek Metidji; Éric Soccorsi. Multidimensional Borg–Levinson uniqueness and stability results for the Robin Laplacian with unbounded potential. Documenta mathematica, Tome 29 (2024) no. 4, pp. 959-984. doi: 10.4171/dm/964

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