Article
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On the Evolutionary Form of the Constraints in Electrodynamics
Version 1
: Received: 12 November 2018 / Approved: 13 November 2018 / Online: 13 November 2018 (11:03:45 CET)
A peer-reviewed article of this Preprint also exists.
Rácz, I. On the Evolutionary Form of the Constraints in Electrodynamics. Symmetry 2019, 11, 10. Rácz, I. On the Evolutionary Form of the Constraints in Electrodynamics. Symmetry 2019, 11, 10.
Abstract
The constraint equations in Maxwell theory are investigated. In analogy with some recent results on the constraints of general relativity it is shown, regardless of the signature and dimension of the ambient space, that the "divergence of a vector field" type constraints can always be put into linear first order hyperbolic form for which global existence and uniqueness of solutions to an initial-boundary value problem is guaranteed.
Keywords
constrains; Maxwell theory; evolutionary equations
Subject
Physical Sciences, Mathematical Physics
Copyright: This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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