On the Maxwell Constants in 3D
Analysis of PDEs
2014-06-24 v3 Functional Analysis
Numerical Analysis
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.
Cite
@article{arxiv.1406.1723,
title = {On the Maxwell Constants in 3D},
author = {Dirk Pauly},
journal= {arXiv preprint arXiv:1406.1723},
year = {2014}
}
Comments
Key Words: Maxwell inequality, Poincare inequality, Friedrichs inequality, Maxwell's equations, Maxwell constant, second Maxwell eigenvalue, electro statics, magneto statics