Complete Low Frequency Asymptotics for Time-Harmonic Generalized Maxwell Equations in Nonsmooth Exterior Domains

Publikation: Vorabdruck/Dokumentation/BerichtVorabdruck (Preprint)

Beitragende

  • Dirk Pauly - , Universität Duisburg-Essen (Autor:in)

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
PublikationsstatusVeröffentlicht - 2007
Extern publiziertJa
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Externe IDs

ORCID /0000-0003-4155-7297/work/144671140

Schlagworte

Schlagwörter

  • math.AP, math-ph, math.DG, math.MP, 35Q60, 78A25, 78A30