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Sbornik: Mathematics, 2014, Volume 205, Issue 11, Pages 1564–1598
DOI: https://doi.org/10.1070/SM2014v205n11ABEH004429 (Mi sm8209) 		 
This article is cited in 4 scientific papers (total in 4 papers)

The scattering problem for nonlocal potentials

V. A. Zolotarevab

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
English version PDF (694 kB) Citations (4) Russian version article
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DOI: https://doi.org/10.1070/SM2014v205n11ABEH004429
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.
Received: 03.01.2013 and 13.06.2014
Bibliographic databases:
Document Type: Article
UDC: 517.983.248
MSC: 34L25, 35P25, 47A40
Language: English
Original paper language: Russian
Citation: V. A. Zolotarev, “The scattering problem for nonlocal potentials”, Sb. Math., 205:11 (2014), 1564–1598
Citation in format AMSBIB
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  • https://www.mathnet.ru/eng/sm/v205/i11/p39
    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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