General solution of the inhomogeneous div-curl system and consequences

DOI10.1007/s00006-017-0805-zzbMath1386.35387arXiv1705.10885OpenAlexW2964252035MaRDI QIDQ1686874

Briceyda B. Delgado, R. Michael Porter

Publication date: 18 December 2017

Published in: Advances in Applied Clifford Algebras (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1705.10885

zbMATH Keywords

Maxwell's equationsquaternionic analysismonogenic functionconductivity equationVekua equationhyperholomorphic functiondiv-curl systemdouble curl equationhyperconjugate pair

Mathematics Subject Classification ID

PDEs in connection with optics and electromagnetic theory (35Q60) Functions of hypercomplex variables and generalized variables (30G35) Second-order elliptic equations (35J15) Integral representations, constructed kernels (e.g., Cauchy, Fantappiè-type kernels) (32A26) Generalizations of Bers and Vekua type (pseudoanalytic, (p)-analytic, etc.) (30G20) Maxwell equations (35Q61) Systems of linear first-order PDEs (35F35)

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