On the Maxwell Inequalities for Bounded and Convex Domains
arXiv:1311.218511 citationsh-index: 22
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Provides theoretical bounds for Maxwell constants in convex domains, which is relevant for researchers in functional analysis and PDEs, but the result is incremental.
The paper establishes that for bounded and convex domains in three dimensions, the Maxwell constants are bounded from below and above by Friedrichs' and Poincaré's constants, respectively.
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.