The scattering problem for nonlocal potentials

The scattering problem for nonlocal potentials

We solve the direct and inverse scattering problems for integro- differential operators which are one-dimensional perturbations of the self- adjoint second derivative operator on the half-axis. We also describe the scattering data for this class of operators. Bibliography: 28 titles.

Gespeichert in:
Bibliographische Detailangaben
Veröffentlicht in:Sbornik. Mathematics 2014-01, Vol.205 (11), p.1564-1598
1. Verfasser: Zolotarev, V. A.
Format: Artikel
Sprache:eng
Schlagworte:
Derivatives
INTEGRO-DIFFERENTIAL EQUATIONS
Inverse scattering
INVERSE SCATTERING PROBLEM
Mathematical analysis
MATHEMATICAL METHODS AND COMPUTING
MATHEMATICAL OPERATORS
MATHEMATICAL SOLUTIONS
NONLOCAL POTENTIAL
ONE-DIMENSIONAL CALCULATIONS
one-dimensional perturbation
Operators (mathematics)
Perturbation methods
PERTURBATION THEORY
SCATTERING
Online-Zugang:Volltext
Tags: Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
Beschreibung
Zusammenfassung:We solve the direct and inverse scattering problems for integro- differential operators which are one-dimensional perturbations of the self- adjoint second derivative operator on the half-axis. We also describe the scattering data for this class of operators. Bibliography: 28 titles.
ISSN:1064-5616
1468-4802
DOI:10.1070/SM2014v205n11ABEH004429