Geodesic
Laplace operator with $\delta$-like potentials
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 2 (2014), pp. 9-16

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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. 
@article{IVM_2014_2_a1,
     author = {B. E. Kanguzhin and D. B. Nurakhmetov and N. E. Tokmagambetov},
     title = {Laplace operator with $\delta$-like potentials},
     journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika},
     pages = {9--16},
     publisher = {mathdoc},
     number = {2},
     year = {2014},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/IVM_2014_2_a1/}
}
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B. E. Kanguzhin; D. B. Nurakhmetov; N. E. Tokmagambetov. Laplace operator with $\delta$-like potentials. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 2 (2014), pp. 9-16. http://geodesic.mathdoc.fr/item/IVM_2014_2_a1/