Global uniqueness for an IBVP for the time-harmonic Maxwell equations
@article{Caro2014GlobalUF,
title={Global uniqueness for an IBVP for the time-harmonic Maxwell equations},
author={Pedro Caro and Ting Zhou},
journal={Analysis & PDE},
year={2014},
volume={7},
pages={375-405}
}In this paper we prove uniqueness for an inverse boundary value problem (IBVP) arising in electrodynamics. We assume that the electromagnetic properties of the medium, namely the magnetic permeability, the electric permittivity, and the conductivity, are described by continuously differentiable functions.
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References
SHOWING 1-10 OF 36 REFERENCES
On an inverse problem in electromagnetism with local data: stability and uniqueness
- Mathematics, Physics
- 2010
- 23
- PDF
A global uniqueness theorem for an inverse boundary value problem
- Mathematics
- 1987
- 1,259
- Highly Influential
Stable determination of the electromagnetic coefficients by boundary measurements
- Mathematics, Physics
- 2010
- 19
- PDF
Electromagnetic Inverse Problems and Generalized Sommerfeld Potentials
- Mathematics, Computer Science
- SIAM J. Appl. Math.
- 1996
- 90
- Highly Influential