The quasi-two-dimensional coefficient inverse problem for the wave equation in a weakly horizontally inhomogeneous medium with memory

DOI10.1134/s0037446623060186zbMath1529.35565MaRDI QIDQ6179779

Zhanna Dmitrievna Totieva, Zarif Anuarovich Akhmatov

Publication date: 18 December 2023

Published in: Siberian Mathematical Journal (Search for Journal in Brave)

zbMATH Keywords

Fourier transforminverse problemintegro-differential equationkernelDelta function

Mathematics Subject Classification ID

Initial-boundary value problems for second-order hyperbolic equations (35L20) Inverse problems for PDEs (35R30) Linear constitutive equations for materials with memory (74D05) Integro-partial differential equations (35R09)

Cites Work

• Inverse problem of determining the one-dimensional kernel of the viscoelasticity equation in a bounded domain
• Direct and inverse problems in the theory of materials with memory
• Inverse problem for a system of integro-differential equations for SH waves in a visco-elastic porous medium: global solvability
• A multidimensional inverse problem for an equation with memory
• The problem of determining the one-dimensional kernel of the electroviscoelasticity equation
• The inverse problem for an acoustic equation in a weakly horizontally inhomogeneous medium
• About global solvability of a multidimensional inverse problem for an equation with memory
• An inverse problem in the theory of materials with memory
• Inverse problems of memory reconstruction
• A local in time existence and uniqueness result of an inverse problem for the Kelvin-Voigt fluids
• A problem of determining a special spatial part of 3D memory kernel in an integro‐differential hyperbolic equation
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