Inverse problem of scattering theory for a class one-dimensional Schrödinger equation

DOI10.2989/16073606.2018.1498814zbMath1428.34133OpenAlexW2886182558MaRDI QIDQ5198037

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Publication date: 2 October 2019

Published in: Quaestiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2989/16073606.2018.1498814

zbMATH Keywords

integral representationSchrödinger equationinverse scattering problemscattering dataJost solution

Mathematics Subject Classification ID

Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) Inverse problems involving ordinary differential equations (34A55) Scattering theory, inverse scattering involving ordinary differential operators (34L25)

Cites Work

• Energy dependent inverse scattering on the line
• Hamiltonian methods in the theory of solitons. Transl. from the Russian by A. G. Reyman
• Sturm-Liouville operators and applications. Transl. from the Russian by A. Iacob
• Inverse scattering in one-dimensional nonconservative media
• The determination of the scattering potential from the spectral measure function
• On the Jost solutions of the Schrödinger-type equations with a polynomial energy-dependent potential
• On the Jost Solutions for a Class of Schrodinger Equations with Piecewise Constant Coefficients
• Inverse eigenvalue problems with discontinuous coefficients
• Inverse eigenvalue problems for a Sturm-Liouville equation in impedance form
• Inverse scattering. I. One dimension
• Inverse scattering on the line
• Wave scattering in one dimension with absorption
• On an inverse problem for a second-order differential equation
• The inverse spectral problem for the Sturm–Liouville operator with discontinuous potential
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