On Lavrent'ev-type integral equations in coefficient inverse problems for wave equations

DOI10.1134/S0965542521090128zbMath1486.35467OpenAlexW3206548648MaRDI QIDQ2245909

Mikhail Yu. Kokurin, Alexander I. Kozlov

Publication date: 15 November 2021

Published in: Computational Mathematics and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0965542521090128

zbMATH Keywords

uniquenessbiharmonic equationlinear integral equationnumerical experimentcoefficient inverse problem

Mathematics Subject Classification ID

Inverse problems for PDEs (35R30) Wave equation (35L05) Initial value problems for second-order hyperbolic equations (35L15)

Related Items (4)

Вычислительная лупа для уточнения положения и формы трехмерных объектов при их акустическом зондировании ⋮ Completeness of products of homogeneous harmonic polynomials and uniqueness of the solution to an inverse wave sounding problem ⋮ Multifrequency inverse problem of scalar acoustics: remarks on nonuniqueness and solution algorithm ⋮ Linear Lavrent'ev Integral Equation for the Numerical Solution of a Nonlinear Coefficient Inverse Problem

Cites Work

• On the completeness of products of harmonic functions and the uniqueness of the solution of the inverse acoustic sounding problem
• Low-cost numerical method for solving a coefficient inverse problem for the wave equation in three-dimensional space
• 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
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