Some first-order systems of partial differential equations

Klaus Gürlebeck, Klaus Habetha and Wolfgang Sprößig
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Klaus Gürlebeck: Bauhaus-Universität Weimar
Klaus Habetha: RWTH Aachen
Wolfgang Sprößig: TU Bergakademie Freiberg

Chapter Chapter 6 in Application of Holomorphic Functions in Two and Higher Dimensions, 2016, pp 169-202 from Springer

Abstract: Abstract The classical Maxwell equations were discovered in the second half of the 19th century as a result of the stormy development of research in electricity and magnetism. The study of these questions has attracted generations of physicists and mathematicians, yet some of their secrets are still hidden. Adopting a historical point of view, we will use several concepts for the representation of Maxwell equations and a proposal for a solution theory within a quaternionic calculus.

Keywords: Generate Pair; Dirac Equation; Maxwell Equation; Riccati Equation; Connected Domain (search for similar items in EconPapers)
Date: 2016
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-0348-0964-1_6

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DOI: 10.1007/978-3-0348-0964-1_6

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