V. A. Zolotarev, “The scattering problem for nonlocal potentials”, Mat. Sb., 2014, Volume 205, Number 11,Pages <nobr>39

This article is cited in 4 papers

The scattering problem for nonlocal potentials

V. A. Zolotarev^ab

^a B. Verkin Institute for Low Temperature Physics and Engineering, National Academy of Sciences of Ukraine, Khar'kov
^b V. N. Karazin Kharkiv National University, Faculty of Mathematics and Mechanics

Abstract: 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.

Keywords: one-dimensional perturbation, nonlocal potential, inverse scattering problem.

UDC: 517.983.248

MSC: 34L25, 35P25, 47A40

Received: 03.01.2013 and 13.06.2014

DOI: 10.4213/sm8209