On an asymmetric backward heat problem with the space and time-dependent heat source on a disk

DOI10.1515/JIIP-2017-0013zbMath1411.35132OpenAlexW2890485112MaRDI QIDQ2633408

Quan Hoang Pham, Triet Minh Le, Phong Hong Luu

Publication date: 8 May 2019

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-2017-0013

zbMATH Keywords

ill-posed problempolar coordinatesbackward heat problemmodified quasi-boundary value method

Mathematics Subject Classification ID

Fixed-point theorems (47H10) Heat equation (35K05) Nonlinear ill-posed problems (47J06) Parabolic equations and parabolic systems (35K99)

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Cites Work

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• A backward parabolic equation with a time-dependent coefficient: regularization and error estimates
• A modified Tikhonov regularization method for an axisymmetric backward heat equation
• The Navier-Stokes equations on the rotating 2-D sphere: Gevrey regularity and asymptotic degrees of freedom
• On a backward nonlinear parabolic equation with time and space dependent thermal conductivity: regularization and error estimates
• The boundary-element method for the determination of a heat source dependent on one variable
• Two-level space-time domain decomposition methods for three-dimensional unsteady inverse source problems
• Simultaneous reconstruction of the initial temperature and heat radiative coefficient
• A modified quasi-boundary value method for regularizing of a backward problem with time-dependent coefficient
• ERROR ESTIMATES ON A BACKWARD HEAT EQUATION BY A WAVELET DUAL LEAST SQUARES METHOD
• A spectral method for an axisymmetric backward heat equation
• Numerical identifications of parameters in parabolic systems
• A new version of quasi-boundary value method for a 1-D nonlinear ill-posed heat problem
• Numerical Reconstruction of Heat Fluxes
• An iterative boundary element method for solving the one-dimensional backward heat conduction problem

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