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Zapiski Nauchnykh Seminarov POMI, 2014, Volume 425, Pages 46–54 (Mi znsl6020)  
This article is cited in 10 scientific papers (total in 10 papers)

On constants in Maxwell inequalities for bounded and convex domains

D. Pauly

Fakultät für Mathematik, Universität Duisburg-Essen, Campus Essen, Germany
Full-text PDF (170 kB) Citations (10)
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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.
Received: 20.07.2014
English version:
Journal of Mathematical Sciences (New York), 2015, Volume 210, Issue 6, Pages 787–792
DOI: https://doi.org/10.1007/s10958-015-2590-3
Bibliographic databases:
Document Type: Article
UDC: 517
Language: English
Citation: D. Pauly, “On constants in Maxwell inequalities for bounded and convex domains”, Boundary-value problems of mathematical physics and related problems of function theory. Part 44, Zap. Nauchn. Sem. POMI, 425, POMI, St. Petersburg, 2014, 46–54; J. Math. Sci. (N. Y.), 210:6 (2015), 787–792
Citation in format AMSBIB
\Bibitem{Pau14}
\by D.~Pauly
\paper On constants in Maxwell inequalities for bounded and convex domains
\inbook Boundary-value problems of mathematical physics and related problems of function theory. Part~44
\serial Zap. Nauchn. Sem. POMI
\yr 2014
\vol 425
\pages 46--54
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl6020}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2015
\vol 210
\issue 6
\pages 787--792
\crossref{https://doi.org/10.1007/s10958-015-2590-3}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84944711255}
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    • This publication is cited in the following 10 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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