no. 3
Partial data inverse problems for Maxwell equations via Carleman estimates
Annales de l'I.H.P. Analyse non linéaire, Tome 35 (2018) no. 3, pp. 605-624.

Dans cet article nous considérons un problème inverse aux limites pour les équations de Maxwell harmoniques en temps. Nous montrons que les paramètres électromagnétiques sont déterminés par des mesures sur un très petit sous-ensemble du bord. Ces résultats pour le système de Maxwell sont une extension des résultats scalaires de Bukhgeim–Uhlmann et Kenig–Sjöstrand–Uhlmann. La contribution principale est de montrer que les méthodes d'estimations de Carleman de ces articles peuvent être généralisées au système de Maxwell.

In this article we consider an inverse boundary value problem for the time-harmonic Maxwell equations. We show that the electromagnetic material parameters are determined by boundary measurements where part of the boundary data is measured on a possibly very small set. This is an extension of earlier scalar results of Bukhgeim–Uhlmann and Kenig–Sjöstrand–Uhlmann to the Maxwell system. The main contribution is to show that the Carleman estimate approach to scalar partial data inverse problems introduced in those works can be carried over to the Maxwell system.

DOI : 10.1016/j.anihpc.2017.06.005
Classification : 35R30
Mots clés : Inverse problems, Maxwell equations, Partial data, Admissible manifolds, Carleman estimates 
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     title = {Partial data inverse problems for {Maxwell} equations via {Carleman} estimates},
     journal = {Annales de l'I.H.P. Analyse non lin\'eaire},
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Chung, Francis J.; Ola, Petri; Salo, Mikko; Tzou, Leo. Partial data inverse problems for Maxwell equations via Carleman estimates. Annales de l'I.H.P. Analyse non linéaire, Tome 35 (2018) no. 3, pp. 605-624. doi : 10.1016/j.anihpc.2017.06.005. http://www.numdam.org/articles/10.1016/j.anihpc.2017.06.005/

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