Inverse scattering problem for a third-order operator with non-local potential

Direct and inverse scattering problem for an operator with non-local potential is solved in the paper. The method is based on the Riemann boundary value problem on a bundle of three straight lines. Description of scattering problem data is given.

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Bibliographic Details
Published inJournal of Differential Equations Vol. 358; pp. 1 - 40
Main Author Zolotarev, V.A.
Format Journal Article
LanguageEnglish
Published Elsevier Inc 15.06.2023
Subjects
Boundary value problem
Inverse spectral problem
Jost solutions
34L15
Inverse spectral problem
Boundary value problem
Jost solutions
34L10
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Summary:Direct and inverse scattering problem for an operator with non-local potential is solved in the paper. The method is based on the Riemann boundary value problem on a bundle of three straight lines. Description of scattering problem data is given.
ISSN:0022-0396
1090-2732
DOI:10.1016/j.jde.2023.01.043