Low Frequency Asymptotics and Electro-Magneto-Statics for Time-Harmonic Maxwell's Equations in Exterior Weak Lipschitz Domains with Mixed Boundary Conditions

Research output: Preprint/Documentation/Report › Preprint

Contributors

  • Frank Osterbrink - (Author)
  • Dirk Pauly - , University of Duisburg-Essen (Author)

Abstract

We prove that the time-harmonic solutions to Maxwell's equations in a 3D exterior domain converge to a certain static solution as the frequency tends to zero. We work in weighted Sobolev spaces and construct new compactly supported replacements for Dirichlet-Neumann fields. Moreover, we even show convergence in operator norm.

Details

Original languageEnglish
Publication statusPublished - 15 Nov 2019
Externally publishedYes
No renderer: customAssociatesEventsRenderPortal,dk.atira.pure.api.shared.model.researchoutput.WorkingPaper

External IDs

ORCID /0000-0003-4155-7297/work/145224271

Keywords

Keywords

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