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Eurasian Mathematical Journal, 2011, Volume 2, Number 1, Pages 145–148 (Mi emj48)  
This article is cited in 2 scientific papers (total in 2 papers)

Short communications

On the singular numbers of correct restrictions of non-selfadjoint elliptic differential operators

V. I. Burenkov, M. Otelbaev

Faculty of Mechanics and Mathematics, L. N. Gumilyov Eurasian National University, Astana, Kazakhstan
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Abstract: Conditions are established on a correct restriction of an elliptic differential operator of order $2l$ defined on a bounded domain in $\mathbb R^n$ with sufficiently smooth boundary, ensuring that its singular numbers $s_k$ are of order $k^{-\frac{2l}n}$. As an application certain estimates are obtained for the deviation upon domain perturbation of singular numbers of such correct restrictions.
Keywords and phrases: correct restrictions, leading and non-leading operators, estimates and asymptotics for singular numbers.
Received: 24.02.2011
Bibliographic databases:
Document Type: Article
MSC: 35P15, 35J40
Language: English
Citation: V. I. Burenkov, M. Otelbaev, “On the singular numbers of correct restrictions of non-selfadjoint elliptic differential operators”, Eurasian Math. J., 2:1 (2011), 145–148
Citation in format AMSBIB
\Bibitem{BurOte11}
\by V.~I.~Burenkov, M.~Otelbaev
\paper On the singular numbers of correct restrictions of non-selfadjoint elliptic differential operators
\jour Eurasian Math. J.
\yr 2011
\vol 2
\issue 1
\pages 145--148
\mathnet{http://mi.mathnet.ru/emj48}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2910827}
\zmath{https://zbmath.org/?q=an:1247.47017}
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    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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