Two regularization methods for backward heat problems with new error estimates

DOI10.1016/J.NONRWA.2010.11.004zbMath1219.35370OpenAlexW1973562238MaRDI QIDQ533061

Nguyen Huy Tuan, Dang Duc Trong

Publication date: 2 May 2011

Published in: Nonlinear Analysis. Real World Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.nonrwa.2010.11.004

zbMATH Keywords

contraction principleill-posed problembackward heat problem

Mathematics Subject Classification ID

Inverse problems for PDEs (35R30) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Numerical methods for ill-posed problems for initial value and initial-boundary value problems involving PDEs (65M30)

Related Items (6)

An a posteriori truncation regularization method for an ill-posed problem for the heat equation with an integral boundary condition ⋮ A variational technique of mollification applied to backward heat conduction problems ⋮ On regularization and error estimates for the backward heat conduction problem with time-dependent thermal diffusivity factor ⋮ An a posteriori parameter choice rule for the truncation regularization method for solving backward parabolic problems ⋮ The general \textit{a posteriori} truncation method and its application to radiogenic source identification for the helium production-diffusion equation ⋮ Nonhomogeneous backward heat conduction problem: compact filter regularization and error estimates

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