Žurnal matematičeskoj fiziki, analiza, geometrii, Tome 5 (1998) no. 3, pp. 149-165
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A. G. Brusentsev. Near boundary behavior of elliptic operator potential garanteeing its essential self-adjointness. Žurnal matematičeskoj fiziki, analiza, geometrii, Tome 5 (1998) no. 3, pp. 149-165. http://geodesic.mathdoc.fr/item/JMAG_1998_5_3_a1/
@article{JMAG_1998_5_3_a1,
author = {A. G. Brusentsev},
title = {Near boundary behavior of elliptic operator potential garanteeing its essential self-adjointness},
journal = {\v{Z}urnal matemati\v{c}eskoj fiziki, analiza, geometrii},
pages = {149--165},
year = {1998},
volume = {5},
number = {3},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/JMAG_1998_5_3_a1/}
}
TY - JOUR
AU - A. G. Brusentsev
TI - Near boundary behavior of elliptic operator potential garanteeing its essential self-adjointness
JO - Žurnal matematičeskoj fiziki, analiza, geometrii
PY - 1998
SP - 149
EP - 165
VL - 5
IS - 3
UR - http://geodesic.mathdoc.fr/item/JMAG_1998_5_3_a1/
LA - ru
ID - JMAG_1998_5_3_a1
ER -
%0 Journal Article
%A A. G. Brusentsev
%T Near boundary behavior of elliptic operator potential garanteeing its essential self-adjointness
%J Žurnal matematičeskoj fiziki, analiza, geometrii
%D 1998
%P 149-165
%V 5
%N 3
%U http://geodesic.mathdoc.fr/item/JMAG_1998_5_3_a1/
%G ru
%F JMAG_1998_5_3_a1
For the class of elliptic operations in space $L_2(G)$ ($G$ is an arbitrary open set in $R^N$), containing the Schrödinger operator with electromagnetic potential, conditions are obtained on near boundary behavior of the coefficients under which the operator was essential self-adjoint on $C_0^\infty(G)$. The closeness of the sufficient conditions derived to the necessary ones is discussed by examples.
