Eurasian mathematical journal, Tome 2 (2011) no. 1, pp. 145-148
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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/
@article{EMJ_2011_2_1_a8,
author = {V. I. Burenkov and M. Otelbaev},
title = {On the singular numbers of correct restrictions of non-selfadjoint elliptic differential operators},
journal = {Eurasian mathematical journal},
pages = {145--148},
year = {2011},
volume = {2},
number = {1},
language = {en},
url = {http://geodesic.mathdoc.fr/item/EMJ_2011_2_1_a8/}
}
TY - JOUR
AU - V. I. Burenkov
AU - M. Otelbaev
TI - On the singular numbers of correct restrictions of non-selfadjoint elliptic differential operators
JO - Eurasian mathematical journal
PY - 2011
SP - 145
EP - 148
VL - 2
IS - 1
UR - http://geodesic.mathdoc.fr/item/EMJ_2011_2_1_a8/
LA - en
ID - EMJ_2011_2_1_a8
ER -
%0 Journal Article
%A V. I. Burenkov
%A M. Otelbaev
%T On the singular numbers of correct restrictions of non-selfadjoint elliptic differential operators
%J Eurasian mathematical journal
%D 2011
%P 145-148
%V 2
%N 1
%U http://geodesic.mathdoc.fr/item/EMJ_2011_2_1_a8/
%G en
%F EMJ_2011_2_1_a8
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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