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Partial data inverse problems for Maxwell equations via Carleman estimates. (English. French summary) Zbl 1458.35473

Summary: 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.

MSC:

35R30 Inverse problems for PDEs
35Q61 Maxwell equations
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