Correctness of the definition of the Laplace operator with delta-like potentials
arXiv:1908.10277 · doi:10.1080/17476933.2020.1849164
Abstract
In this paper, we give a correct definition of the Laplace operator with delta-like potentials. Correctly solvable pointwise perturbation is investigated and formulas of resolvent are described. We study some properties of the resolvent. In particular, we obtain Krein formula for these resolvents.
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