Lipschitz continuity of the Fréchet gradient in an inverse coefficient problem for a parabolic equation with Dirichlet measured output

DOI10.1515/jiip-2017-0106zbMath1391.35418OpenAlexW2806964040MaRDI QIDQ1637469

Alemdar Hasanov

Publication date: 8 June 2018

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-2017-0106

zbMATH Keywords

parabolic equationgradient formulainverse coefficient problemLipschitz continuity of the Fréchet gradient

Mathematics Subject Classification ID

Fréchet and Gateaux differentiability in optimization (49J50) Inverse problems for PDEs (35R30) Weak solutions to PDEs (35D30)

Related Items (3)

A gradient-based approach for identification of the zeroth-order coefficient \(p(x)\) in the parabolic equation \(u_t=(k(x)u_x)_x-p(x)u\) from Dirichlet-type measured output ⋮ Solution of the backward problem for the space-time fractional diffusion equation related to the release history of a groundwater contaminant ⋮ Determination of thermophysical characteristics in a nonlinear inverse heat transfer problem

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