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 Dokl. Akad. Nauk SSSR, 1970, Volume 191, Number 2, Pages 267–269 (Mi dan35270)

MATHEMATICS

The character of the spectrum of a selfadjoint extension of the Laplace operator in a bounded region (fundamental systems of functions with an arbitrary preassigned subsequence of fundamental numbers)

V. A. Il'in, A. F. Filippov

Lomonosov Moscow State University

Full text: PDF file (497 kB)

Bibliographic databases:
UDC: 517.432+517.512/4
Presented: À. Í. Òèõîíîâ

Citation: V. A. Il'in, A. F. Filippov, “The character of the spectrum of a selfadjoint extension of the Laplace operator in a bounded region (fundamental systems of functions with an arbitrary preassigned subsequence of fundamental numbers)”, Dokl. Akad. Nauk SSSR, 191:2 (1970), 267–269

Citation in format AMSBIB
\Bibitem{IliFil70} \by V.~A.~Il'in, A.~F.~Filippov \paper The character of the spectrum of a selfadjoint extension of the Laplace operator in a bounded region (fundamental systems of functions with an arbitrary preassigned subsequence of fundamental numbers) \jour Dokl. Akad. Nauk SSSR \yr 1970 \vol 191 \issue 2 \pages 267--269 \mathnet{http://mi.mathnet.ru/dan35270} \mathscinet{http://www.ams.org/mathscinet-getitem?mr=0267289} \zmath{https://zbmath.org/?q=an:0209.41302} 

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• http://mi.mathnet.ru/eng/dan/v191/i2/p267

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Citing articles on Google Scholar: Russian citations, English citations
Related articles on Google Scholar: Russian articles, English articles

This publication is cited in the following articles:
1. M. L. Gorbachuk, “Self-adjoint boundary problems for a second-order differential equation with unbounded operator coefficient”, Funct. Anal. Appl., 5:1 (1971), 9–18
2. M. M. Gekhtman, “Existence of surface conditions for nonclassical self-adjoint extensions of the Laplace operator”, Funct. Anal. Appl., 16:1 (1982), 49–51
3. A. R. Aliev, S. F. Babayeva, “On the boundary value problem with the operator in boundary conditions for the operator-differential equation of the third order”, Zhurn. matem. fiz., anal., geom., 6:4 (2010), 347–361
4. S. S. Mirzoyev, A. R. Aliev, L. A. Rustamova, “Solvability Conditions for Boundary-Value Problems for Elliptic Operator-Differential Equations with Discontinuous Coefficient”, Math. Notes, 92:5 (2012), 722–726
5. S. S. Mirzoev, A. R. Aliev, L. A. Rustamova, “On the Boundary Value Problem with the Operator in Boundary Conditions for the Operator-Differential Equation of Second Order with Discontinous Coefficients”, Zhurn. matem. fiz., anal., geom., 9:2 (2013), 207–226