TL;DR
This paper establishes bounds for Maxwell constants in three-dimensional bounded convex domains using functional analysis, relating them to Friedrichs' and Poincare's constants.
Contribution
It provides the first known bounds for Maxwell constants in 3D convex domains, linking them to classical Friedrichs' and Poincare's constants.
Findings
Maxwell constants are bounded by Friedrichs' and Poincare's constants.
The bounds hold for bounded convex domains in three dimensions.
The results are derived using tools from functional 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.
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