The problem of determining the one-dimensional kernel of viscoelasticity equation with a source of explosive type

DOI10.1515/jiip-2018-0024zbMath1437.35465OpenAlexW2964323076WikidataQ127492303 ScholiaQ127492303MaRDI QIDQ2301650

D. K. Durdiev, Zhanna Dmitrievna Totieva

Publication date: 25 February 2020

Published in: Journal of Inverse and Ill-Posed Problems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/jiip-2018-0024

zbMATH Keywords

delta functionkernel reconstructionLame's coefficients

Mathematics Subject Classification ID

Inverse problems for PDEs (35R30) PDEs in connection with mechanics of deformable solids (35Q74) Initial-boundary value problems for second-order hyperbolic systems (35L53)

Related Items (8)

The problem of finding the kernels in the system ⋮ 2D kernel identification problem in viscoelasticity equation with a weakly horizontal homogeneity ⋮ Обратная задача для вязкоупругой системы в вертикально-слоистой среде ⋮ About global solvability of a multidimensional inverse problem for an equation with memory ⋮ Determining kernels in linear viscoelasticity ⋮ A global solvability of a two‐dimensional kernel determination problem for a viscoelasticity equation ⋮ The problem of determining kernels in a two-dimensional system of viscoelasticity equations ⋮ The problem of finding the kernels in the system of integro-differential acoustics equations

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
• Two methods for the inverse problem of memory reconstruction
• The problem of finding the one-dimensional kernel of the thermoviscoelasticity equation
• Inverse problem for an integro-differential equation of acoustics
• Recovering two Lamé kernels in a viscoelastic system
• The problem of determining the one-dimensional kernel of the electroviscoelasticity equation
• One-dimensional inverse problems for systems of elasticity with a source of explosion type
• Stability estimates for the solution to the problem of determining the kernel of a viscoelastic equation
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