Inverse boundary value problem for the dynamical heterogeneous Maxwell system
Analysis of PDEs
2015-06-11 v1
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 H\"older 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.
Cite
@article{arxiv.1210.2293,
title = {Inverse boundary value problem for the dynamical heterogeneous Maxwell system},
author = {Mourad Bellassoued and Michel Cristofol and Eric Soccorsi},
journal= {arXiv preprint arXiv:1210.2293},
year = {2015}
}