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

Publikation: Beitrag in FachzeitschriftForschungsartikelBeigetragenBegutachtung

Beitragende

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

OriginalspracheEnglisch
Seiten (von - bis)125-184
Seitenumfang60
FachzeitschriftAsymptotic Analysis
Jahrgang60
Ausgabenummer3-4
PublikationsstatusVeröffentlicht - 2008
Peer-Review-StatusJa

Externe IDs

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

Schlagworte

ASJC Scopus Sachgebiete

Schlagwörter

  • 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