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2019, Volume 9, Issue 2: 277-287. Doi: 10.3934/mcrf.2019014

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On a logarithmic stability estimate for an inverse heat conduction problem

Aymen Jbalia^,

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

* Corresponding author: Aymen Jbalia
* Corresponding author: Aymen Jbalia

Received: December 2017

Revised: April 2018

Published: June 2019

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Abstract

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.

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Mathematics Subject Classification: Primary: 65N21, 35K05, 35R30.

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