Inverse scattering problem for nonstrict hyperbolic system on the half-axis with a nonzero boundary condition
-
Mansur I. Ismailov
and
Tynysbek S. Kal’menov
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.
Funding statement: This research is funded by the Science Committee of the Ministry of Education and Science of the Republic of Kazakhstan (Grant No. AP09260126).
References
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Inverse problem for
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Articles in the same Issue
- Frontmatter
- Stability properties for a class of inverse problems
- Inverse scattering problem for nonstrict hyperbolic system on the half-axis with a nonzero boundary condition
- Identification of the time-dependent source term in a Kuramoto–Sivashinsky equation
- Direct numerical algorithm for calculating the heat flux at an inaccessible boundary
- The game model with multi-task for image denoising and edge extraction
- On the X-ray transform of planar symmetric tensors
- Inverse vector problem of diffraction by inhomogeneous body with a piecewise smooth permittivity
- Acquiring elastic properties of thin composite structure from vibrational testing data
- Inverse nodal problem for diffusion operator on a star graph with nonhomogeneous edges
- Convergence analysis of Inexact Newton–Landweber iteration with frozen derivative in Banach spaces
- A projected gradient method for nonlinear inverse problems with 𝛼ℓ1 − 𝛽ℓ2 sparsity regularization
- Correctness and regularization of stochastic problems
- A layer potential approach to inverse problems in brain imaging
- Inverse problem for Dirac operators with two constant delays
