@Article{JMS-55-1,
author = {Thouraya, Nouri, Baranger and Faker, Ben, Belgacem},
title = {Data Recovery from Cauchy Measurements in Transient Heat Transfer},
journal = {Journal of Mathematical Study},
year = {2022},
volume = {55},
number = {1},
pages = {38--53},
abstract = {<p style="text-align: justify;">We study the ill-posedness degree of the reconstruction processes of missing boundary data or initial states in the transient heat conduction. Both problems are
severely ill-posed. This is a powerful indicator about the way the instabilities will affect the computations in the numerical recovery methods. We provide rigorous proofs
of this result where the conductivites are space dependent. The theoretical work is
concerned with the unsteady heat equation in one dimension even though most of the
results obtained here are readily extended to higher dimensions.</p>},
issn = {2617-8702},
doi = {https://doi.org/10.4208/jms.v55n1.22.03},
url = {https://global-sci.com/article/87638/data-recovery-from-cauchy-measurements-in-transient-heat-transfer}
}