Boundary determination of electromagnetic parameters from local data
Analysis of PDEs
2025-10-30 v1
Abstract
In this paper, we extend and simplify the methods in [13] to improve the results on uniqueness of the boundary determination for the Maxwell equation. In particular, we show that the electromagnetic parameters are uniquely determined to infinite order at the boundary from the local admittance map, disregarding the presence of an unknown obstacle, where actually only the local Cauchy data of the fundamental solution are used. The proof mainly relies on an elaborate singularity analysis on certain singular solutions to the Maxwell equation.
Keywords
Cite
@article{arxiv.2510.25061,
title = {Boundary determination of electromagnetic parameters from local data},
author = {Chengyu Wu and Jiaqing Yang},
journal= {arXiv preprint arXiv:2510.25061},
year = {2025}
}