PreprintarXiv licencearXiv
Electromagnetic Potentials via the Extended Maxwell System
Abstract
We construct electromagnetic potentials on arbitrary open 3-dimensional sets for anisotropic, non-homogeneous materials, thus rendering any topological assumption like simple connectedness or the absence of holes superfluous in this context. The main idea is to invoke the extended Maxwell system the easy solution theory of which then yields existence of both scalar- and vector potentials.
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BibTeX
@misc{picard2026electromagnetic,
title = {{Electromagnetic Potentials via the Extended Maxwell System}},
author = {Rainer Picard and Sascha Trostorff and Marcus Waurick},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2610.38500},
eprint = {2610.38500},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2610.38500},
}
RIS
TY - UNPB
TI - Electromagnetic Potentials via the Extended Maxwell System
AU - Rainer Picard
AU - Sascha Trostorff
AU - Marcus Waurick
PY - 2026
DA - 2026/10/28
PB - arXiv
DO - 10.48550/arxiv.2610.38500
UR - https://arxiv.org/abs/2610.38500
AB - We construct electromagnetic potentials on arbitrary open 3-dimensional sets for anisotropic, non-homogeneous materials, thus rendering any topological assumption like simple connectedness or the absence of holes superfluous in this context. The main idea is to invoke the extended Maxwell system the easy solution theory of which then yields existence of both scalar- and vector potentials.
ER -