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Spectral Geometry and Inverse Scattering Theory
Inverse scattering problems are a vital subject for both theoretical and experimental studies and remain an active field of research in applied...
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Inverse Conductive Medium Scattering with Unknown Buried Objects
This paper is concerned with inverse acoustic scattering in an inhomogeneous medium with a conductive boundary condition and the unknown buried...
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Algorithms for Solving the Inverse Scattering Problem for the Manakov Model
AbstractThe paper considers algorithms for solving inverse scattering problems based on the discretization of the Gelfand–Levitan–Marchenko integral...
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On the Numerical Solution to an Inverse Medium Scattering Problem
This paper is concerned with the inverse medium scattering problem of determining the location and shape of penetrable scattering objects from...
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Stability for Inverse Electromagnetic Obstacle Scattering Problems
In this chapter, we deal with the stability issue for the inverse obstacle problem associated with the electromagnetic scattering. We follow the...
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Constructive Solution to Inverse Scattering Problem for Differential Systems with a Singularity
AbstractThe inverse scattering problem for differential systems with a singularity is considered. The problem is reduced to a certain linear...
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Scattering theory for the subcritical wave equation with inverse square potential
We consider the scattering theory for the defocusing energy subcritical wave equations with an inverse square potential. By employing the energy flux...
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Numerical Verification of the Convexification Method for a Frequency-Dependent Inverse Scattering Problem with Experimental Data
AbstractThe reconstruction of physical properties of a medium from boundary measurements, known as inverse scattering problems, presents significant...
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Uniqueness of Inverse Transmission Scattering with a Conductive Boundary Condition by Phaseless Far Field Pattern
In this paper, we establish the unique determination result for inverse acoustic scattering of a penetrable obstacle with a general conductive...
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The Sasa-Satsuma Equation on a Non-Zero Background: The Inverse Scattering Transform and Multi-Soliton Solutions
We concentrate on the inverse scattering transformation for the Sasa-Satsuma equation with 3 × 3 matrix spectrum problem and a nonzero boundary...
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Inverse Obstacle and Diffraction Grating Scattering Problems
We first consider the inverse acoustic obstacle problem. Let $$k=\omega /c\in...
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Multidimensional Inverse Scattering for the Schrödinger Equation
We give a short review of old and recent results on the multidimensional inverse scattering problem for the Schrödinger equation. A special attention...
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Stability for Inverse Acoustic Obstacle Scattering Problems
In this chapter, we present the quantitative path argumentPath argument in deriving sharp stability Stability estimates for the inverse acoustic...
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Inverse Scattering
In this chapter we analyze the inverse scattering problem of recovery of the corresponding input data set D in the Faddeev class from a scattering...
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Fast Algorithms for Solving the Inverse Scattering Problem for the Zakharov–Shabat System of Equations and Their Applications
AbstractThe problem of numerical solution of a nonlinear Schrödinger equation is considered from the point of view of applications to the...
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Discontinuous Galerkin Method for the Interior Transmission Eigenvalue Problem in Inverse Scattering Theory
In this paper, we are devoted to design the discontinuous Galerkin method to discrete the non-selfadjoint and nonlinear interior transmission...
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Path Argument for Inverse Acoustic and Electromagnetic Obstacle Scattering Problems
Let us recall the acoustic obstacle scattering problem from sound-hard or sound-soft obstacles. To describe the scattering system, we shall use ui,...