Complete low frequency asymptotics for time-harmonic generalized Maxwell equations in nonsmooth exterior domains

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Contributors

Abstract

We continue the study of the operator of generalized Maxwell equations and completely discover the behavior of the solutions of the time-harmonic equations as the frequency tends to zero. Thereby we identify degenerate operators in terms of special 'polynomially growing' solutions of a corresponding static problem, which must be added to the 'usual' Neumann series in order to describe the low frequency asymptotic adequately.

Details

Original languageEnglish
Pages (from-to)125-184
Number of pages60
JournalAsymptotic Analysis
Volume60
Issue number3-4
Publication statusPublished - 2008
Peer-reviewedYes

External IDs

ORCID /0000-0003-4155-7297/work/145224227

Keywords

ASJC Scopus subject areas

Keywords

  • Asymptotic expansions, Electro-magneto static, Exterior boundary value problems, Hankel functions, Hodge-Helmholtz decompositions, Low frequency asymptotics, Maxwell's equations, Radiating solutions, Spherical harmonics, Variable coefficients