An exterior boundary-value problem for the Maxwell equations with boundary data in a Sobolev space

DOI10.1017/S0308210500027724zbMath0669.35099OpenAlexW2122139762MaRDI QIDQ3822619

Peter Hähner

Publication date: 1988

Published in: Proceedings of the Royal Society of Edinburgh: Section A Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0308210500027724

zbMATH Keywords

Sobolev spaceexistencehomogeneous isotropic mediumuniquenessHölder spacessmooth boundarytime-harmonic Maxwell equationsboundary integral equation methodsinterior surfaceelectric and magnetic dipolesSilver-Müller radiation condition

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Integral representations of solutions to PDEs (35C15) PDEs with low regular coefficients and/or low regular data (35R05) Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30) Electromagnetic theory (general) (78A25) Partial differential equations of mathematical physics and other areas of application (35Q99)

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