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June  2019, 9(2): 277-287. doi: 10.3934/mcrf.2019014

## On a logarithmic stability estimate for an inverse heat conduction problem

 Department of Mathematics, Faculty of Sciences of Bizerte, 7021 Jarzouna Bizerte, Tunisia

* Corresponding author: Aymen Jbalia

Received  December 2017 Revised  April 2018 Published  November 2018

We are concerned with an inverse problem arising in thermal imaging in a bounded domain $Ω\subset \mathbb{R}^n$, $n=2, 3$. This inverse problem consists in the determination of the heat exchange coefficient $q(x)$ appearing in the boundary of a heat equation with Robin boundary condition.

Citation: Aymen Jbalia. On a logarithmic stability estimate for an inverse heat conduction problem. Mathematical Control & Related Fields, 2019, 9 (2) : 277-287. doi: 10.3934/mcrf.2019014
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