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math.FA2019
Correctness of the definition of the Laplace operator with delta-like potentials
B. E. Kanguzhin, K. S. Tulenov
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…
math.FA2019
Singular perturbations of Laplace operator and their resolvents
B. E. Kanguzhin, K. S. Tulenov
An inner closed (without boundary) smooth manifold of a lower dimension is cut from a multidimensional ball. In this region, invertible restrictions of the Laplace operator are wel…