About global solvability of a multidimensional inverse problem for an equation with memory

DOI10.1134/S0037446621020038zbMath1461.35226OpenAlexW3146416292MaRDI QIDQ2661739

D. K. Durdiev, Zhanna Dmitrievna Totieva

Publication date: 8 April 2021

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

Full work available at URL: https://doi.org/10.1134/s0037446621020038

zbMATH Keywords

inverse problemintegro-differential equationglobal solvabilitystability estimationweight norm

Mathematics Subject Classification ID

Inverse problems for PDEs (35R30) Integro-partial differential equations (35R09)

Related Items (4)

The problem of determining the memory of an environment with weak horizontal heterogeneity ⋮ A global solvability of a two‐dimensional kernel determination problem for a viscoelasticity equation ⋮ Finding the two-dimensional relaxation kernel of an integro-differential wave equation ⋮ The quasi-two-dimensional coefficient inverse problem for the wave equation in a weakly horizontally inhomogeneous medium with memory

Cites Work

• Global solvability of an inverse problem for an integro-differential equation of electrodynamics
• Problem of determining the speed of sound
• Global convergence of the Newton method in the inverse problems of memory reconstruction
• A multidimensional inverse problem for an equation with memory
• The problem of determining the one-dimensional kernel of viscoelasticity equation with a source of explosive type
• The problem of determining the one‐dimensional matrix kernel of the system of viscoelasticity equations
• Inverse problems of memory reconstruction
• Локальная разрешимость задачи определения пространственной части многомерного ядра в интегро-дифференциальном уравнении гиперболического типа
• The problem of determining the two-dimensional kernel of a viscoelasticity equation
• The problem of determining the 2D-kernel in a system of integro-differential equations of a viscoelastic porous medium
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