Geodesic
Comparison of the singular numbers of correct restrictions of elliptic differential operators
Trudy Moskovskogo matematičeskogo obŝestva, Trudy Moskovskogo Matematicheskogo Obshchestva, Tome 75 (2014) no. 2, pp. 139-157 
V. I. Burenkov; M. Otelbaev. Comparison of the singular numbers of correct restrictions of elliptic differential operators. Trudy Moskovskogo matematičeskogo obŝestva, Trudy Moskovskogo Matematicheskogo Obshchestva, Tome 75 (2014) no. 2, pp. 139-157. http://geodesic.mathdoc.fr/item/MMO_2014_75_2_a3/
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Voir la notice du chapitre de livre provenant de la source Math-Net.Ru

The paper is dedicated to finding the asymptotics of singular numbers of a correct restriction of a uniformly elliptic differential operator of order $2l$ defined on a bounded domain in $\mathbb{R}^n$ with sufficiently smooth boundary, which is in general a non-selfadjoint operator. Conditions are established on a correct restriction, ensuring that its singular numbers $s_k$ are of order $k^{2l/n}$ as $k\to\infty$. As an application of this result certain estimates are obtained for the deviation upon domain perturbation of singular numbers of such correct restrictions. References: 12 entries.

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