Inverse problem of determining the absorption coefficient in the multidimensional heat equation with unlimited minor coefficients

DOI10.1134/S0965542515070052zbMath1323.35208OpenAlexW936559657MaRDI QIDQ500611

T. I. Bukharova, Vitaly L. Kamynin

Publication date: 5 October 2015

Published in: Computational Mathematics and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0965542515070052

zbMATH Keywords

stabilityexistence and uniquenesscoefficient inverse problemintegral observation condition

Mathematics Subject Classification ID

Heat equation (35K05) Inverse problems for PDEs (35R30)

Related Items (4)

Inverse problem of determining the absorption coefficient in a degenerate parabolic equation in the class \(L_{\infty}\) ⋮ Inverse problems of finding the lower term in a multidimensional degenerate parabolic equation ⋮ Inverse problem of determining the absorption coefficient in a degenerate parabolic equation in the class of \(L_2\)-functions ⋮ Inverse problem of finding the coefficient of the lowest term in two-dimensional heat equation with Ionkin-type boundary condition

Cites Work

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• Two inverse problems of finding a coefficient in a parabolic equation
• Inverse problems of the determination of the coefficient in parabolic equations. I
• On inverse problems of determining a coefficient in a parabolic equation. II
• Nonlinear inverse problem for a higher-order parabolic equation
• Determination of a parameter p(t) in some quasi-linear parabolic differential equations
• Determination of parameter p(t) in Holder classes for some semilinear parabolic equations

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