Inverse spectral problem for singular Ablowitz–Kaup–Newell–Segur operators on [0, 1]

DOI10.1088/0266-5611/22/4/018zbMath1109.34006OpenAlexW2146926449MaRDI QIDQ5486441

Frédéric Serier

Publication date: 6 September 2006

Published in: Inverse Problems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/0266-5611/22/4/018

zbMATH Keywords

inverse spectral problemspectral dataisospectral manifoldnorming constantsBorg-Levinson theoremSingular Ablowitz-Kaup-Newell-Segur (AKNS) operator

Mathematics Subject Classification ID

Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) General spectral theory of ordinary differential operators (34L05) General theory of ordinary differential operators (47E05) Inverse problems involving ordinary differential equations (34A55)

Related Items (11)

Reconstruction of radial Dirac operators ⋮ Eigenvalue asymptotics for Dirac–Bessel operators ⋮ Spectral analysis for differential systems with a singularity ⋮ Singular Weyl-Titchmarsh-Kodaira theory for one-dimensional Dirac operators ⋮ Constructive solution to inverse scattering problem for differential systems with a singularity ⋮ Asymptotics of Solutions of Some Integral Equations Connected with Differential Systems with a Singularity ⋮ On Weyl-type solutions of differential systems with a singularity. The case of discontinuous potential ⋮ The coordinate system \(\mu\times\kappa\) on \(L^2([0,1)\times L^2([0,1])\) for the AKNS operator] ⋮ Reconstruction of radial Dirac and Schrödinger operators from two spectra ⋮ Incomplete inverse spectral problems for Dirac-Bessel operators ⋮ Analyticity and uniform stability in the inverse spectral problem for Dirac operators

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