Lavrent'ev-type equations and systems in the inverse problem of reconstructing viscoelastic medium memory
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Publication:6654917
DOI10.1134/S0965542524701306MaRDI QIDQ6654917
Publication date: 20 December 2024
Published in: Computational Mathematics and Mathematical Physics (Search for Journal in Brave)
uniquenessbiharmonic equationlinear integral equationmemory kernelelasticity equationsviscoelastic mediumcoefficient inverse problem
Inverse problems for PDEs (35R30) PDEs in connection with mechanics of deformable solids (35Q74) Second-order hyperbolic systems (35L51)
Cites Work
- On the determination of the coefficients in the viscoelasticity equations
- 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
- Representation and uniqueness theorems for polyharmonic functions
- Wave propagation in media with singular memory
- Fractional relaxation processes and fractional rheological models for the description of a class of viscoelastic materials.
- 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
- 10.1007/s11470-008-1008-4
- Linear Lavrent'ev Integral Equation for the Numerical Solution of a Nonlinear Coefficient Inverse Problem
- Kernel Determination Problems in Hyperbolic Integro-Differential Equations
- Completeness of asymmetric products of harmonic functions and uniqueness of the solution to the Lavrent'ev equation in inverse wave sounding problems
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