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

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21340%2F20%3A00346380" target="_blank" >RIV/68407700:21340/20:00346380 - isvavai.cz</a>
Result on the web
<a href="https://doi.org/10.1088/1361-6420/aba416" target="_blank" >https://doi.org/10.1088/1361-6420/aba416</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1088/1361-6420/aba416" target="_blank" >10.1088/1361-6420/aba416</a>

Result language
angličtina
Original language name
Inverse scattering on the half-line for energy-dependent Schrodinger equations
Original language description
In this paper, we study the inverse scattering problem for energy-dependent Schrodinger 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 functionsSfor the class of problems under consideration and justify an algorithm of reconstructing the problem fromS.
Czech name
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Czech description
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Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
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OECD FORD branch
10100 - Mathematics

Project
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Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year
2020
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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