Well-posedness of the Maxwell equations with nonlinear Ohm law
Analysis of PDEs
2025-03-27 v3
Abstract
This paper is concerned with weak solutions (e,h) in L^2 x L^2 of the Maxwell equations with nonlinear Ohm law and under perfect conductor boundary conditions. These solutions are defined in terms of integral identities with appropriate test functions. The main result of our paper is an energy equality that holds for any weak solution (e,h).
Keywords
Cite
@article{arxiv.2208.03019,
title = {Well-posedness of the Maxwell equations with nonlinear Ohm law},
author = {Jens A. Griepentrog and Joachim Naumann},
journal= {arXiv preprint arXiv:2208.03019},
year = {2025}
}
Comments
minor corrections new Remark 5.1 added, two references added