Inverse scattering on the half-line for energy-dependent Schrödinger equations

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dc.contributor.author Hryniv, Rostyslav
dc.contributor.author Manko, Stepan
dc.date.accessioned 2021-06-30T12:03:57Z
dc.date.available 2021-06-30T12:03:57Z
dc.date.issued 2020-08-31
dc.identifier.citation Hryniv R.O. and Manko S. S. Inverse scattering on the half-line for energy-dependent Schrödinger equations // Inverse Problems. 2020. V. 36, paper id 095002 (15pp), https://doi.org/10.1088/1361-6420/aba416 uk
dc.identifier.uri https://er.ucu.edu.ua/handle/1/2713
dc.description.abstract In this paper, we study the inverse scattering problem for energy-dependent Schrödinger equations on the half-line with energy-dependent boundary conditions at the origin. Under certain positivity and very mild regularity assumptions, we transform this scattering problem to the one for non-canonical Dirac systems and show that, in turn, the latter can be placed within the known scattering theory for ZS-AKNS systems. This allows us to give a complete description of the corresponding scattering functions S for the class of problems under consideration and justify an algorithm of reconstructing the problem from S. uk
dc.language.iso en uk
dc.publisher IOP Publishing uk
dc.rights Attribution-NonCommercial-ShareAlike 3.0 United States *
dc.rights.uri http://creativecommons.org/licenses/by-nc-sa/3.0/us/ *
dc.subject
dc.subject Schrödinger equation
dc.subject inverse scattering
dc.subject energy-dependent potentials
dc.title Inverse scattering on the half-line for energy-dependent Schrödinger equations uk
dc.type Article uk
dc.status Опублікований і розповсюджений раніше uk
dc.identifier.doi https://doi.org/10.1088/1361-6420/aba416
dc.description.abstracten In this paper, we study the inverse scattering problem for energy-dependent Schrödinger equations on the half-line with energy-dependent boundary conditions at the origin. Under certain positivity and very mild regularity assumptions, we transform this scattering problem to the one for non-canonical Dirac systems and show that, in turn, the latter can be placed within the known scattering theory for ZS-AKNS systems. This allows us to give a complete description of the corresponding scattering functions S for the class of problems under consideration and justify an algorithm of reconstructing the problem from S. uk
dc.relation.source Inverse Problems uk


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