Geodesic
Higher order differential operators with finite number of $\delta$-interactions in multivariate case
Žurnal matematičeskoj fiziki, analiza, geometrii, Tome 6 (2010) no. 3, pp. 266-276 
E. H. Eyvazov. Higher order differential operators with finite number of $\delta$-interactions in multivariate case. Žurnal matematičeskoj fiziki, analiza, geometrii, Tome 6 (2010) no. 3, pp. 266-276. http://geodesic.mathdoc.fr/item/JMAG_2010_6_3_a1/
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Voir la notice de l'article provenant de la source Math-Net.Ru

A formula for calculating the defect number of a multi-center differential operator of higher order is obtained. The spectral properties of selfadjoint operators describing the finite number pointwise interactions are studied.

[1] S. Albeverio, F. Gesztesy, Høegh-Krohn, H. Holden, Solvable Models in Quantum Mechanics, Mir, Moscow, 1991 | MR

[2] M. Reed, B. Saimon, Methods of Modern Mathematical Physics, v. 2, Mir, Moscow, 1978 | MR

[3] F. A. Berezin, L. D. Faddeev, “Remark on a Schrödinger Equation with a Singular Potential”, DAN SSSR, 137:5 (1961), 1011–1014 | MR | Zbl

[4] M. A. Naimark, Linear Differential Operators, Nauka, Moscow, 1969 | MR | Zbl

[5] S. Misohata, Theory of Partial Equations, Mir, Moscow, 1977

[6] L. Hörmander, The Analysis of Linear Partial Differential Operators, v. 2, Mir, Moscow, 1986 | MR

[7] R. Narasimhan, Analysis on Real and Complex Manifolds, Mir, Moscow, 1971 | Zbl

[8] E. C. Svendsen, “The ERect of Submanifolds upon Essential Self-Adjointness and Defficiency Indices”, J. Math. Anal. Appl., 80 (1981), 551–565 | DOI | MR | Zbl

[9] E. H. Eyvazov, Investigation of Spectral Properties of Some Differential Operators with Generalized Coefficients, Thesis for PhD, Institute of Mathematics and Mechanics of AS AzerbSSR, Baku, 1979