Geodesic
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 Cet article a éte moissonné depuis la source Math-Net.Ru

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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 $L_2(R^n)$. 
@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/}
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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/