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arXiv · 1908.10277

Correctness of the definition of the Laplace operator with delta-like potentials

B. E. Kanguzhin·K. S. Tulenov
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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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B. E. Kanguzhin, K. S. Tulenov. 2019-08-26. Correctness of the definition of the Laplace operator with delta-like potentials. https://doi.org/10.1080/17476933.2020.1849164

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