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arXiv · 1210.2293

Inverse boundary value problem for the dynamical heterogeneous Maxwell system

Mourad Bellassoued·Michel Cristofol·Eric Soccorsi
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Abstract

We consider the inverse problem of determining the isotropic inhomogeneous electromagnetic coefficients of the non-stationary Maxwell equations in a bounded domain of R^3, from a finite number of boundary measurements. Our main result is a Hölder stability estimate for the inverse problem, where the measurements are exerted only in some boundary components. For it, we prove a global Carleman estimate for the heterogeneous Maxwell's system with boundary conditions.

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Mourad Bellassoued, Michel Cristofol, Eric Soccorsi. 2012-10-08. Inverse boundary value problem for the dynamical heterogeneous Maxwell system. https://doi.org/10.1088/0266-5611%2F28%2F9%2F095009

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