On the Maxwell Constants in 3D
arXiv:1406.1723
Abstract
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.
Key Words: Maxwell inequality, Poincare inequality, Friedrichs inequality, Maxwell's equations, Maxwell constant, second Maxwell eigenvalue, electro statics, magneto statics