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 Eurasian Math. J.: Year: Volume: Issue: Page: Find

 Eurasian Math. J., 2011, Volume 2, Number 1, Pages 145–148 (Mi emj48)

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

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.

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MSC: 35P15, 35J40
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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://www.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 articles:
1. Trans. Moscow Math. Soc., 75 (2014), 115–131
2. Koshanov B.D., “on the Solvability of Boundary Value Problems For the Nonhomogeneous Polyharmonic Equation in a Ball”, International Conference on Analysis and Applied Mathematics (ICAAM 2014), AIP Conference Proceedings, 1611, eds. Ashyralyev A., Malkowsky E., Amer Inst Physics, 2014, 119–126
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