Solutions of inhomogeneous perturbed generalized Moisil-Teodorescu system and Maxwell's equations in Euclidean Space
Analysis of PDEs
2021-04-15 v1 Mathematical Physics
math.MP
Abstract
In this paper, based on a proposed notion of generalized conjugate harmonic pairs in the framework of complex Clifford analysis, necessary and sufficient conditions for the solvability of inhomogeneous perturbed generalized Moisil-Teodorescu systems in higher dimensional Euclidean spaces are proved. As an application, we derive corresponding solvability conditions for the inhomogeneous Maxwell's equations.
Keywords
Cite
@article{arxiv.1912.02754,
title = {Solutions of inhomogeneous perturbed generalized Moisil-Teodorescu system and Maxwell's equations in Euclidean Space},
author = {Juan Bory-Reyes and Marco Antonio Pérez-de la Rosa},
journal= {arXiv preprint arXiv:1912.02754},
year = {2021}
}