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JOURNALS // Zapiski Nauchnykh Seminarov POMI // Archive

Zap. Nauchn. Sem. POMI, 2014 Volume 425, Pages 46–54 (Mi znsl6020)

This article is cited in 10 papers

On constants in Maxwell inequalities for bounded and convex domains

D. Pauly

Fakultät für Mathematik, Universität Duisburg-Essen, Campus Essen, Germany

Abstract: For a bounded and convex domain $\Omega\subset\mathbb R^3$ we show that the Maxwell constants are bounded from below and above by Friedrichs' and Poincaré's constants of $\Omega$.

Key words and phrases: Maxwell's equations, Maxwell constants, second Maxwell eigenvalues, electro statics, magneto statics, Poincaré's inequality, Friedrichs' inequality, Poincaré's constant, Friedrichs' constant.

UDC: 517

Received: 20.07.2014

Language: English


 English version:
Journal of Mathematical Sciences (New York), 2015, 210:6, 787–792

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