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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2014, Number 2, Pages 9–16 (Mi ivm8866)  
This article is cited in 23 scientific papers (total in 23 papers)

Laplace operator with $\delta$-like potentials

B. E. Kanguzhina, D. B. Nurakhmetova, N. E. Tokmagambetovb

a Chair of Fundamental Mathematics, al-Farabi Kazakh National University, 71 al-Farabi Ave., Almaty, 500040 Republic of Kazakhstan
b Institute of Mathematics and Mathematical Modelling MES RK, 28 Shevchenko str., Almaty, 500012 Republic of Kazakhstan
Full-text PDF (190 kB) Citations (23)
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Abstract: We study the Laplace operator in a punctured domain in a Hilbert space. We obtain an analog of the Green formula and a class of self-adjoint extensions of the Laplacian. We also investigate a certain class of well-posed problems.
Keywords: Laplace operator, punctured domain, analog of the Green formula, self-adjoint extension, well-posed problem.
Received: 12.10.2012
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2014, Volume 58, Issue 2, Pages 6–12
DOI: https://doi.org/10.3103/S1066369X14020029
Bibliographic databases:
Document Type: Article
UDC: 517.95
Language: Russian
Citation: B. E. Kanguzhin, D. B. Nurakhmetov, N. E. Tokmagambetov, “Laplace operator with $\delta$-like potentials”, Izv. Vyssh. Uchebn. Zaved. Mat., 2014, no. 2, 9–16; Russian Math. (Iz. VUZ), 58:2 (2014), 6–12
Citation in format AMSBIB
\Bibitem{KanNurTok14}
\by B.~E.~Kanguzhin, D.~B.~Nurakhmetov, N.~E.~Tokmagambetov
\paper Laplace operator with $\delta$-like potentials
\jour Izv. Vyssh. Uchebn. Zaved. Mat.
\yr 2014
\issue 2
\pages 9--16
\mathnet{http://mi.mathnet.ru/ivm8866}
\transl
\jour Russian Math. (Iz. VUZ)
\yr 2014
\vol 58
\issue 2
\pages 6--12
\crossref{https://doi.org/10.3103/S1066369X14020029}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84897814389}
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    • This publication is cited in the following 23 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Известия высших учебных заведений. Математика Russian Mathematics (Izvestiya VUZ. Matematika)
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