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. 
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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/

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