Inverse resonance scattering for Dirac operators on the half-line
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DOI: 10.1007/s13324-020-00453-5
Abstract: We consider massless Dirac operators on the half-line with compactly supported potentials. We solve the inverse problems in terms of Jost function and scattering matrix (including characterization). We study resonances as zeros of Jost function… read more here.
Keywords: resonance; half line; dirac operators; operators half ... See more keywords
Stability of direct and inverse scattering problems for the self-adjoint Schrödinger operators on the half-line
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DOI: 10.1016/j.jmaa.2021.125217
Abstract: Abstract The self-adjoint Schrodinger operators on the half-line with the real-valued potential are investigated. The estimates for the difference of the reflection coefficients are given by the differences of the corresponding potentials and the parameters… read more here.
Keywords: operators half; self adjoint; direct inverse; half line ... See more keywords
Recovering Differential Operators on the Half-Line with Indefinite Discontinuous Weights
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DOI: 10.5556/j.tkjm.52.2021.3721
Abstract: Non-self-adjoint second-order differential operators on the half-line with indefinite discontinuous weights are studied. Properties of spectral characteristics are established and inverse problems of recovering operators from their spectral characteristics are investigated. For these class of… read more here.
Keywords: discontinuous weights; indefinite discontinuous; half line; line indefinite ... See more keywords