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.
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Original Russian Text © B.E. Kanguzhin, D.B. Nurakhmetov, and N.E. Tokmagambetov, 2014, published in Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2014, No. 2, pp. 9–16.
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Kanguzhin, B.E., Nurakhmetov, D.B. & Tokmagambetov, N.E. Laplace operator with δ-like potentials. Russ Math. 58, 6–12 (2014). https://doi.org/10.3103/S1066369X14020029
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DOI: https://doi.org/10.3103/S1066369X14020029