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Applicable Analysis
An International Journal
Volume 93, 2014 - Issue 5
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Articles

Inverse problem for a free transport equation using Carleman estimates

Patricia GaitanAix Marseille Université, CNRS, CPT, UMR 7332, Marseille, France.Correspondence[email protected]
&
Hadjer OuzzaneFaculté de Mathématiques, laboratoire AMNEDP, U.S.T.H.B, Algiers, Algeria.
Pages 1073-1086 | Received 16 Nov 2012, Accepted 14 Jun 2013, Published online: 12 Jul 2013
 
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Abstract

This paper is devoted to prove a stability result for an absorption coefficient for a free transport equation in a smooth domain . The result is obtained using a global Carleman estimate with only one observation on a part of the boundary.

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