An \(n\)-dimensional Borg--Levinson theorem for singular potentials

DOI10.1016/S0196-8858(02)00027-1zbMath1028.35170OpenAlexW2080226427MaRDI QIDQ1867010

Lassi Päivärinta, Valery Serov

Publication date: 2 April 2003

Published in: Advances in Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0196-8858(02)00027-1

zbMATH Keywords

uniquenessSchrödinger equationinverse spectral problemunbounded potentialsBorg-Levinson theorem

Mathematics Subject Classification ID

General topics in linear spectral theory for PDEs (35P05) Inverse problems for PDEs (35R30) PDEs in connection with quantum mechanics (35Q40)

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Identification of unbounded electric potentials through asymptotic boundary spectral data ⋮ Inverse scattering problem for a two dimensional random potential ⋮ Variations on a theme of Jost and Pais ⋮ Stability for the Multi-Dimensional Borg-Levinson Theorem with Partial Spectral Data ⋮ Calderóns' Inverse Problem for Anisotropic Conductivity in the Plane ⋮ INVERSE BORN APPROXIMATION FOR THE GENERALIZED NONLINEAR SCHRÖDINGER OPERATOR IN TWO DIMENSIONS ⋮ Stability for determination of Riemannian metrics by spectral data and Dirichlet-to-Neumann map limited on arbitrary subboundary ⋮ Multi-dimensional versions of a determinant formula due to Jost and Pais ⋮ Inverse medium problem for a singular contrast ⋮ Multidimensional Borg-Levinson inverse spectral problems ⋮ Application of the boundary control method to partial data Borg-Levinson inverse spectral problem ⋮ Identification of a symmetric mass density in a rectangular membrane from finite eigenvalue data

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