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Mathematics of the USSR-Sbornik, 1976, Volume 28, Issue 2, Pages 169–185
DOI: https://doi.org/10.1070/SM1976v028n02ABEH001646 (Mi sm2747) 		 
This article is cited in 3 scientific papers (total in 3 papers)

A sufficient condition for essential selfadjointness of polynomials in the Schrödinger operator

Yu. B. Orochko
English version PDF (1129 kB) Citations (3) Russian version article
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DOI: https://doi.org/10.1070/SM1976v028n02ABEH001646
Abstract: For an arbitrary natural number $m$ we obtain a criterion for essential selfadjointness (in the sense of Hartman and Ismagilov) of $m$ th order polynomials in the Schrödinger operator, subject only to restrictions on the potential on an infinite system of disjoint open sets which are in general separated from each other.
Bibliography: 19 titles.
Received: 31.03.1975
Bibliographic databases:
UDC: 517.43
MSC: Primary 35J10, 47B25; Secondary 34B25, 47A55, 35L15, 28A55
Language: English
Original paper language: Russian
Citation: Yu. B. Orochko, “A sufficient condition for essential selfadjointness of polynomials in the Schrödinger operator”, Math. USSR-Sb., 28:2 (1976), 169–185
Citation in format AMSBIB
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\by Yu.~B.~Orochko
\paper A~sufficient condition for essential selfadjointness of polynomials in the Schr\"odinger operator
\jour Math. USSR-Sb.
\yr 1976
\vol 28
\issue 2
\pages 169--185
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\zmath{https://zbmath.org/?q=an:0343.35026}
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  • https://www.mathnet.ru/eng/sm/v141/i2/p192
    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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