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On the Maxwell constants in 3D
Author(s) -
Pauly Dirk
Publication year - 2014
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.3324
Subject(s) - bounded function , mathematics , regular polygon , constant (computer programming) , maxwell's equations , mathematical physics , mathematical analysis , calculus (dental) , pure mathematics , geometry , computer science , programming language , medicine , dentistry
Dedicated to Martin Costabel on the occasion of his 65th birthdayUsing 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 Poincaré's constants. Copyright © 2014 John Wiley & Sons, Ltd.