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arXiv · 1912.02754

Solutions of inhomogeneous perturbed generalized Moisil-Teodorescu system and Maxwell's equations in Euclidean Space

Juan Bory-Reyes·Marco Antonio Pérez-de la Rosa
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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.

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Juan Bory-Reyes, Marco Antonio Pérez-de la Rosa. 2019-12-05. Solutions of inhomogeneous perturbed generalized Moisil-Teodorescu system and Maxwell's equations in Euclidean Space. https://doi.org/10.1007/s00006-021-01134-7

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