On the Maxwell Inequalities for Bounded and Convex Domains
arXiv:1311.2185
Abstract
For a bounded and convex domain in three dimensions we show that the Maxwell constants are bounded from below and above by Friedrichs' and Poincare's constants.
Key Words: Maxwell's equations, Maxwell constant, second Maxwell eigenvalue, electro statics, magneto statics, Poincare's inequality, Friedrichs' inequality, Poincare's constant, Friedrichs' constant. arXiv admin note: text overlap with arXiv:1311.2186