Inverse scattering problem for nonstrict hyperbolic system on the half-axis with a nonzero boundary condition-Reference-Cited by-同舟云学术

Inverse scattering problem for nonstrict hyperbolic system on the half-axis with a nonzero boundary condition

Published:2023-07-27 Issue:0 Volume:0 Page:
ISSN:0928-0219
Container-title:Journal of Inverse and Ill-posed Problems
language:en
Short-container-title:

Author:

Ismailov Mansur I.¹,Kal’menov Tynysbek S.²

Affiliation:

1. Gebze Technical University , Gebze-Kocaeli , Turkey ; Institute of Mathematics and Mathematical Modeling, Almaty, Kazakhstan; and Khazar University, Baku, Azerbaijan

2. Institute of Mathematics and Mathematical Modeling , Almaty , Kazakhstan

Abstract

Abstract The paper considers the scattering problem for the first-order system of hyperbolic equations on the half-axis with a nonhomogeneous boundary condition. This problem models the phnomennon of wave propagation in a nonstationary medium where an incoming wave unaffected by a potential field. The scattering operator on the half-axis with a nonzero boundary condition is defined and the uniqueness of the inverse scattering problem (the problem of finding the potential with respect to scattering operator) is studied.

Publisher

Walter de Gruyter GmbH

Subject

Applied Mathematics

Link

https://www.degruyter.com/document/doi/10.1515/jiip-2022-0027/pdf

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