Matematičeskie zametki, Tome 20 (1976) no. 4, pp. 571-580
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Yu. B. Orochko. A remark on the essential self-adjointness of a Schrödinger operator with a singular potential. Matematičeskie zametki, Tome 20 (1976) no. 4, pp. 571-580. http://geodesic.mathdoc.fr/item/MZM_1976_20_4_a11/
@article{MZM_1976_20_4_a11,
author = {Yu. B. Orochko},
title = {A~remark on the essential self-adjointness of {a~Schr\"odinger} operator with a~singular potential},
journal = {Matemati\v{c}eskie zametki},
pages = {571--580},
year = {1976},
volume = {20},
number = {4},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/MZM_1976_20_4_a11/}
}
TY - JOUR
AU - Yu. B. Orochko
TI - A remark on the essential self-adjointness of a Schrödinger operator with a singular potential
JO - Matematičeskie zametki
PY - 1976
SP - 571
EP - 580
VL - 20
IS - 4
UR - http://geodesic.mathdoc.fr/item/MZM_1976_20_4_a11/
LA - ru
ID - MZM_1976_20_4_a11
ER -
%0 Journal Article
%A Yu. B. Orochko
%T A remark on the essential self-adjointness of a Schrödinger operator with a singular potential
%J Matematičeskie zametki
%D 1976
%P 571-580
%V 20
%N 4
%U http://geodesic.mathdoc.fr/item/MZM_1976_20_4_a11/
%G ru
%F MZM_1976_20_4_a11
We examine the operator $S=-\Delta+V$, $V\in L_{2,\operatorname{loc}}(R^n)$, where $S$ satisfies a natural additional condition of a local nature. If a condition of Titchmarsh type is fulfilled at infinity, then S is essentially self-adjoint in $L_2(R^n)$.
