Geodesic
On the singular numbers of correct restrictions of non-selfadjoint elliptic differential operators
Eurasian mathematical journal, Tome 2 (2011) no. 1, pp. 145-148

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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. 
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V. I. Burenkov; M. Otelbaev. On the singular numbers of correct restrictions of non-selfadjoint elliptic differential operators. Eurasian mathematical journal, Tome 2 (2011) no. 1, pp. 145-148. http://geodesic.mathdoc.fr/item/EMJ_2011_2_1_a8/