It is shown that for a bounded and convex domain Ω ⊂ ℝ3 , the Maxwell constants are bounded from below and above by the Friedrichs and Poincaré constants of Ω, respectively. Bibliography: 14 titles.
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Published in Zapiski Nauchnykh Seminarov POMI, Vol. 425, 2014, pp. 46–54.
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Pauly, D. On Constants in Maxwell Inequalities for Bounded and Convex Domains. J Math Sci 210, 787–792 (2015). https://doi.org/10.1007/s10958-015-2590-3
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DOI: https://doi.org/10.1007/s10958-015-2590-3