Direct and inverse source problems for degenerate parabolic equations

DOI10.1515/JIIP-2019-0046zbMath1475.35175OpenAlexW3010658473MaRDI QIDQ2187938

M. S. Hussein, A. B. Kostin, Daniel Lesnic, Vitaly L. Kamynin

Publication date: 3 June 2020

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

Full work available at URL: https://eprints.whiterose.ac.uk/156370/1/KamKosLesMoh.pdf

zbMATH Keywords

integral observationidentification of a space-dependent source

Mathematics Subject Classification ID

Initial-boundary value problems for second-order parabolic equations (35K20) Degenerate parabolic equations (35K65) Inverse problems for PDEs (35R30)

Related Items (8)

Coefficient inverse problem for the degenerate parabolic equation ⋮ Source recovery with a posteriori error estimates in linear partial differential equations ⋮ Inverse problem of determining the absorption coefficient in a degenerate parabolic equation in the class of \(L_2\)-functions ⋮ Unique solvability of direct and inverse problems for degenerate parabolic equations in the multidimensional case ⋮ Calculation of the gradient of Tikhonov's functional in solving coefficient inverse problems for linear partial differential equations ⋮ The inverse problem of recovering the source function in a multidimensional nonuniformly parabolic equation ⋮ Inverse problem of reconstruction of degenerate diffusion coefficient in a parabolic equation ⋮ Determination of thermophysical characteristics in a nonlinear inverse heat transfer problem

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