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Journal of Inverse and Ill-posed Problems

Editor-in-Chief: Kabanikhin, Sergey I.

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Volume 24, Issue 3


Inverse scattering problem for the nonstationary Dirac equation on the half-plane

Mansur I. Ismailov
  • Department of Mathematics, Gebze Institute of Technology, Gebze-Kocaeli 41400, Turkey; and Institute of Mathematics and Mechanics, National Academy of Sciences of Azerbaijan, Baku, Azerbaijan
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Published Online: 2015-02-15 | DOI: https://doi.org/10.1515/jiip-2014-0039


In this paper, the inverse scattering problem for the nonstationary Dirac system on the half-plane is considered. The uniqueness criterion for the inverse scattering problem in terms of boundary condition is described and the restoration of the potential from the scattering operator is proved.

Keywords: Inverse scattering problem; nonstationary Dirac system; uniqueness criterion

MSC: 35R30; 35L50; 35P25; 35Q41

About the article

Received: 2014-05-14

Revised: 2014-09-30

Accepted: 2015-01-19

Published Online: 2015-02-15

Published in Print: 2016-06-01

Citation Information: Journal of Inverse and Ill-posed Problems, Volume 24, Issue 3, Pages 221–231, ISSN (Online) 1569-3945, ISSN (Print) 0928-0219, DOI: https://doi.org/10.1515/jiip-2014-0039.

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