One-dimensional inverse problems of finding the kernel of integrodifferential heat equation in a bounded domain

DOI10.1007/S11253-022-02026-0zbMath1496.35447OpenAlexW4289928235MaRDI QIDQ2168982

Zh. Zh. Zhumaev, D. K. Durdiev

Publication date: 29 August 2022

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

Full work available at URL: https://doi.org/10.1007/s11253-022-02026-0

zbMATH Keywords

time-convolution integral

Mathematics Subject Classification ID

Initial-boundary value problems for second-order parabolic equations (35K20) Inverse problems for PDEs (35R30) Integro-partial differential equations (35R09)

Related Items (5)

Inverse problem of determining the unknown coefficient in the beam vibration equation in an infinite domain ⋮ Inverse problem of determining the kernel of integro-differential fractional diffusion equation in bounded domain ⋮ Convolution kernel determining problem for an integro-differential heat equation with nonlocal initial-boundary and overdetermination conditions ⋮ Kernel determination problem in an integro-differential equation of parabolic type with nonlocal condition ⋮ Inverse problem for an equation of mixed parabolic-hyperbolic type with a characteristic line of change

Cites Work

• Question of well-posedness of a certain inverse problem for a hyperbolic integrodifferential equation
• Inverse problem of determining the kernel in an integro-differential equation of parabolic type
• An inverse problem in the theory of materials with memory
• О единственности определения ядра интегро-дифференциального уравнения параболического типа
• IDENTIFYING MEMORY KERNELS IN LINEAR THERMOVISCOELASTICITY OF BOLTZMANN TYPE
• Inverse problems for identification of memory kernels in heat flow
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