3 papers
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
Noetherian solvability of an operator singular integral equation with a Carleman shift in fractional spaces
N. K. Bliev, K. S. Tulenov
In this paper, we obtain conditions of Noetherian solvability and the Index formula for a singular integral equation with a Cauchy kernel and a Carleman shift in Besov space, which…
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…