Analyticity and uniform stability in the inverse spectral problem for Dirac operators

Abstract

We prove that the inverse spectral mapping reconstructing the square integrable potentials on [0,1] of Dirac operators in the AKNS form from their spectral data (two spectra or one spectrum and the corresponding norming constants) is analytic and uniformly stable in a certain sense.

19 pages

References in corpus (3)

• Inverse spectral problems for Sturm-Liouville operators with singular potentials
• Inverse spectral problems for Dirac operators with summable potentials
• Inverse spectral problems for Sturm-Liouville operators with singular potentials, IV. Potentials in the Sobolev space scale

Cited by in corpus (4)

• Uniform stability of recovering the Sturm-Liouville operators with frozen argument
• Dynamical and spectral Dirac systems: response function and inverse problems
• Uniform stability for the inverse Sturm-Liouville problem with eigenparameter-dependent boundary conditions
• Evolution of Weyl functions and initial-boundary value problems