Uniqueness of a solution to the Lavrent'ev integral equation in \(n\)-dimensional space

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)

zbMATH Keywords

linear integral equationharmonic functionshyperbolic equationcoefficient inverse problemsolution uniquenessuniqueness setcomplete system of functionsLavrent'ev equationinverse problem of acoustics

Mathematics Subject Classification ID

Fluid mechanics (76-XX) Partial differential equations (35-XX)

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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