An inverse boundary value problem for the Maxwell's equations with partial data
Analysis of PDEs
2025-05-23 v1
Abstract
We consider an inverse boundary problem for the dynamical Maxwell's equations. We show that the electric permittivity, conductivity, and magnetic permeability can be uniquely determined locally if there is a strictly convex foliation with respect to the wave speed.
Cite
@article{arxiv.2505.16250,
title = {An inverse boundary value problem for the Maxwell's equations with partial data},
author = {Jian Zhai},
journal= {arXiv preprint arXiv:2505.16250},
year = {2025}
}