On the Maxwell constants in 3D

Research output: Contribution to journalResearch articleContributedpeer-review

Contributors

Abstract

Dedicated to Martin Costabel on the occasion of his 65th birthdayUsing tools from functional analysis, we show that for bounded and convex domains in three dimensions, the Maxwell constants are bounded from below and above by Friedrichs' and Poincaré's constants.

Details

Original languageEnglish
Pages (from-to)435-447
Number of pages13
JournalMathematical Methods in the Applied Sciences
Volume40
Issue number2
Publication statusPublished - 30 Jan 2017
Peer-reviewedYes

External IDs

ORCID /0000-0003-4155-7297/work/145224252
WOS 000396520500009

Keywords

Keywords

  • electro statics, Friedrichs inequality, magneto statics, Maxwell constant, Maxwell inequality, Maxwell's equations, Poincaré inequality, second Maxwell eigenvalue