This article is cited 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

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.

MSC: 35P15, 35J40

Received: 24.02.2011

Language: English

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