Uniqueness of a solution to the Lavrent'ev integral equation in \(n\)-dimensional space
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Publication:6540286
DOI10.1134/S0965542524030084MaRDI QIDQ6540286
Mikhail M. Kokurin, V. V. Klyuchev, [[Person:6059045|Author name not available (Why is that?)]]
Publication date: 15 May 2024
Published in: Computational Mathematics and Mathematical Physics (Search for Journal in Brave)
linear integral equationharmonic functionshyperbolic equationcoefficient inverse problemsolution uniquenessuniqueness setcomplete system of functionsLavrent'ev equationinverse problem of acoustics
Cites Work
- On the completeness of products of harmonic functions and the uniqueness of the solution of the inverse acoustic sounding problem
- On the completeness of products of solutions to the Helmholtz equation
- On Lavrent'ev-type integral equations in coefficient inverse problems for wave equations
- Completeness of the asymmetric products of solutions of a second-order elliptic equation and the uniqueness of the solution of an inverse problem for the wave equation
- On a multidimensional integral equation with data supported by low-dimensional analytic manifolds
- 10.1007/s11470-008-1008-4
- Linear Lavrent'ev Integral Equation for the Numerical Solution of a Nonlinear Coefficient Inverse Problem
- Uniqueness conditions and numerical approximation of the solution to M.M. Lavrentiev's integral equation
- Completeness of asymmetric products of harmonic functions and uniqueness of the solution to the Lavrent'ev equation in inverse wave sounding problems
- Multifrequency inverse problem of scalar acoustics: remarks on nonuniqueness and solution algorithm
- Methods of the theory of functions of a complex variable
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