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Zapiski Nauchnykh Seminarov POMI, 1999, Volume 262, Pages 227–230 (Mi znsl1117)  
This article is cited in 1 scientific paper (total in 1 paper)

The operator rot in an arbitrary region of finite measure

N. D. Filonov

Saint-Petersburg State University
Full-text PDF (132 kB) Citations (1)
Abstract: The definition of the self-adjoint operator rot in an arbitrary region $\Omega\subset\mathbb R^3$ of finite measure is investigated. The spectrum of the operator is discrete. One can prove Weyl's asymptotic formula for the eigenvalues. Under an additional condition concerning the boundary of the region a remainder estimate can be obtained.
Received: 28.06.1999
English version:
Journal of Mathematical Sciences (New York), 2002, Volume 110, Issue 5, Pages 3029–3030
DOI: https://doi.org/10.1023/A:1015303807742
Bibliographic databases:
UDC: 517.5
Language: Russian
Citation: N. D. Filonov, “The operator rot in an arbitrary region of finite measure”, Investigations on linear operators and function theory. Part 27, Zap. Nauchn. Sem. POMI, 262, POMI, St. Petersburg, 1999, 227–230; J. Math. Sci. (New York), 110:5 (2002), 3029–3030
Citation in format AMSBIB
\Bibitem{Fil99}
\by N.~D.~Filonov
\paper The operator rot in an arbitrary region of finite measure
\inbook Investigations on linear operators and function theory. Part~27
\serial Zap. Nauchn. Sem. POMI
\yr 1999
\vol 262
\pages 227--230
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl1117}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1734339}
\zmath{https://zbmath.org/?q=an:1018.47034}
\transl
\jour J. Math. Sci. (New York)
\yr 2002
\vol 110
\issue 5
\pages 3029--3030
\crossref{https://doi.org/10.1023/A:1015303807742}
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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