Žurnal matematičeskoj fiziki, analiza, geometrii, Tome 6 (1999) no. 3, pp. 234-244
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A. G. Brusentsev. A remark on essential self-adjointness of nonsemi-bounded elliptic operators in $L_2(G)$. Žurnal matematičeskoj fiziki, analiza, geometrii, Tome 6 (1999) no. 3, pp. 234-244. http://geodesic.mathdoc.fr/item/JMAG_1999_6_3_a3/
@article{JMAG_1999_6_3_a3,
author = {A. G. Brusentsev},
title = {A remark on essential self-adjointness of nonsemi-bounded elliptic operators in~$L_2(G)$},
journal = {\v{Z}urnal matemati\v{c}eskoj fiziki, analiza, geometrii},
pages = {234--244},
year = {1999},
volume = {6},
number = {3},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/JMAG_1999_6_3_a3/}
}
TY - JOUR
AU - A. G. Brusentsev
TI - A remark on essential self-adjointness of nonsemi-bounded elliptic operators in $L_2(G)$
JO - Žurnal matematičeskoj fiziki, analiza, geometrii
PY - 1999
SP - 234
EP - 244
VL - 6
IS - 3
UR - http://geodesic.mathdoc.fr/item/JMAG_1999_6_3_a3/
LA - ru
ID - JMAG_1999_6_3_a3
ER -
%0 Journal Article
%A A. G. Brusentsev
%T A remark on essential self-adjointness of nonsemi-bounded elliptic operators in $L_2(G)$
%J Žurnal matematičeskoj fiziki, analiza, geometrii
%D 1999
%P 234-244
%V 6
%N 3
%U http://geodesic.mathdoc.fr/item/JMAG_1999_6_3_a3/
%G ru
%F JMAG_1999_6_3_a3
Conditions are obtained for the general-type symmetric elliptic second-order operator $L$ in space $L_2(G)$ ($D_L=C_0^{\infty}(G)$, $G$ is an arbitrary open set in $R^n$)under which self-adjointness $\overline{L}$ follows from the essential self-adjointness of some semi-bounded elliptic operator.
