On Lavrent'ev-type integral equations in coefficient inverse problems for wave equations
AI Kozlov, MY Kokurin - Computational Mathematics and Mathematical …, 2021 - Springer
Coefficient inverse problems for second-and third-order equations with one or two unknown
coefficients are investigated. The initial data are specified as the solution of an equation for a …
coefficients are investigated. The initial data are specified as the solution of an equation for a …
Uniqueness conditions and numerical approximation of the solution to MM Lavrentiev's integral equation
MY Kokurin, VV Klyuchev - Numerical Analysis and Applications, 2022 - Springer
MM Lavrentiev's linear integral equation arises as a result of a special transformation of a
nonlinear coefficient inverse wave sensing problem. The completeness of the set of products …
nonlinear coefficient inverse wave sensing problem. The completeness of the set of products …
Lavrent'ev-Type Equations and Systems in the Inverse Problem of Reconstructing Viscoelastic Medium Memory
MY Kokurin - Computational Mathematics and Mathematical Physics, 2024 - Springer
We consider a nonlinear coefficient inverse problem related to partial reconstruction of the
memory matrix of a viscoelastic medium from the results of probing the medium with a family …
memory matrix of a viscoelastic medium from the results of probing the medium with a family …
Uniqueness of a Solution to the Lavrent'ev Integral Equation in n-Dimensional Space
MM Kokurin, VV Klyuchev, AV Gavrilova - … Mathematics and Mathematical …, 2024 - Springer
We study the multidimensional analogue of the Lavrent'ev integral equation to which an
inverse problem of acoustic sounding is reduced. Conditions under which the studied …
inverse problem of acoustic sounding is reduced. Conditions under which the studied …
Completeness of products of homogeneous harmonic polynomials and uniqueness of the solution to an inverse wave sounding problem
MY Kokurin - Journal of Mathematical Analysis and Applications, 2023 - Elsevier
We prove that pairwise products of elements from two classes of homogeneous harmonic
polynomials (HHPs) are complete in L 2 (D), where D is a bounded domain in R 3. One of …
polynomials (HHPs) are complete in L 2 (D), where D is a bounded domain in R 3. One of …
On some inverse problems for elliptic equations and systems
SG Pyatkov - Journal of Applied and Industrial Mathematics, 2011 - Springer
Under study are the inverse problems of determining the right-hand side of a particular form
and the solution for elliptic systems, including a series of elasticity systems.(On the boundary …
and the solution for elliptic systems, including a series of elasticity systems.(On the boundary …
[PDF][PDF] A STUDY ON THE BLOW-UP OF SOLUTIONS FOR A LAM É SYSTEM OF INVERSE PROBLEM
M SHAHROUZI - Kragujevac Journal of Mathematics, 2025 - researchgate.net
A STUDY ON THE BLOW-UP OF SOLUTIONS FOR A LAM É SYSTEM OF INVERSE
PROBLEM 1. Introduction We study the following Lamé system o Page 1 Kragujevac Journal of …
PROBLEM 1. Introduction We study the following Lamé system o Page 1 Kragujevac Journal of …