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Zapiski Nauchnykh Seminarov POMI, 2011, Volume 393, Pages 80–100 (Mi znsl4616)  
This article is cited in 7 scientific papers (total in 7 papers)

Nonunique continuation for the Maxwell system

M. N. Demchenko

St. Petersburg Department of V. A. Steklov Institute of Mathematics, Russian Academy of Sciences, St. Petersburg, Russia
Full-text PDF (288 kB) Citations (7)
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Abstract: We give an example of the stationary Maxwell system, which has nontrivial smooth solution with compact support; the coefficients $\varepsilon,\mu$ belong to $C^\alpha$ for all $\alpha<1$. Our example shows that the stationary Maxwell system does not possess the unique continuation property in case of nonsmooth coefficients.
Key words and phrases: Maxwell system, unique continuation property.
Received: 28.09.2011
English version:
Journal of Mathematical Sciences (New York), 2012, Volume 185, Issue 4, Pages 554–566
DOI: https://doi.org/10.1007/s10958-012-0938-5
Bibliographic databases:
Document Type: Article
UDC: 517.951
Language: Russian
Citation: M. N. Demchenko, “Nonunique continuation for the Maxwell system”, Mathematical problems in the theory of wave propagation. Part 41, Zap. Nauchn. Sem. POMI, 393, POMI, St. Petersburg, 2011, 80–100; J. Math. Sci. (N. Y.), 185:4 (2012), 554–566
Citation in format AMSBIB
\Bibitem{Dem11}
\by M.~N.~Demchenko
\paper Nonunique continuation for the Maxwell system
\inbook Mathematical problems in the theory of wave propagation. Part~41
\serial Zap. Nauchn. Sem. POMI
\yr 2011
\vol 393
\pages 80--100
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl4616}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2870205}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2012
\vol 185
\issue 4
\pages 554--566
\crossref{https://doi.org/10.1007/s10958-012-0938-5}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84866558111}
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    • This publication is cited in the following 7 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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