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arXiv:1406.1723 [math.AP]AbstractReferencesReviewsResources

On the Maxwell Constants in 3D

Dirk Pauly

Published 2014-06-06, updated 2014-06-21Version 3

Using 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 Poincare's constants.

Comments: Key Words: Maxwell inequality, Poincare inequality, Friedrichs inequality, Maxwell's equations, Maxwell constant, second Maxwell eigenvalue, electro statics, magneto statics
Categories: math.AP, math.FA, math.NA
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