On the Maxwell Inequalities for Bounded and Convex Domains
Analysis of PDEs
2014-07-24 v5 Numerical Analysis
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.
Keywords
Cite
@article{arxiv.1311.2185,
title = {On the Maxwell Inequalities for Bounded and Convex Domains},
author = {Dirk Pauly},
journal= {arXiv preprint arXiv:1311.2185},
year = {2014}
}
Comments
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