The Debye potential: A scalar factorization for Maxwell's equations

DOI10.1016/0022-247X(78)90093-8zbMath0405.35065MaRDI QIDQ1257159

John R. Schulenberger

Publication date: 1978

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

zbMATH Keywords

Wave EquationMaxwell's EquationsAntiradial FunctionsDebye PotentialsHodge Decomposition of Vector Fields

Mathematics Subject Classification ID

Scattering theory for PDEs (35P25) Fundamental solutions to PDEs (35A08) Wave equation (35L05) Partial differential equations of mathematical physics and other areas of application (35Q99) Initial value problems for first-order hyperbolic systems (35L45) PDEs on infinite-dimensional (e.g., function) spaces (= PDEs in infinitely many variables) (35R15)

Related Items

Maxwell potentials ⋮ Isomorphisms of hyperbolic systems and the aether

Cites Work

• On conservative boundary conditions for operators of constant deficit: the Maxwell operator
• Spectral and scattering theory for Maxwell's equations in an exterior domain
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