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Stability of direct and inverse scattering problems for the self-adjoint Schrödinger operators on the half-line

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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… Click to show full 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 in the boundary conditions. Conversely, we also give the estimates for the difference of the potentials in terms of the difference of the corresponding scattering data.

Keywords: operators half; self adjoint; direct inverse; half line; stability direct

Journal Title: Journal of Mathematical Analysis and Applications
Year Published: 2021

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