Inverse boundary value problem for the dynamical heterogeneous Maxwell system

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.

References in corpus (2)

• Inverse problems for the anisotropic Maxwell equations
• Stable Determination of the Electromagnetic Coefficients by Boundary Measurements

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