activity
20162023
most citedOn the absence of Volterra correct restrictions and extensions of the Laplace operator

1 citations · 1 across the 6 of their papers we have counts for

collaborators

6 papers

math.FA2023

Non-Volterra property of some class of compact operators

Bazarkan N. Biyarov

The authors Matsaev and Mogulskii singled out a wide class of weak perturbation of a positive compact operator , of the form , where is such a compact operator that…

math.SP2021

Similar transformation of one class of correct restrictions

B. N. Biyarov

The description of all correct restrictions of the maximal operator are considered in a Hilbert space. A class of correct restrictions are obtained for which a similar transformati…

math.SP2021

Non self-adjoint correct restrictions and extensions with real spectrum

B. N. Biyarov, Z. A. Zakarieva, G. K. Abdrasheva

The work is devoted to the study of the similarity of a correct restriction to some self-adjoint operator in the case when the minimal operator is symmetric. The resulting theorem…

math.FA2019

Correct Singular Perturbations of the Laplace Operator with the Spectrum of the Unperturbed Operator

B. N. Biyarov, D. A. Svistunov, G. K. Abdrasheva

The work is devoted to the study of Laplace operator when the potential is a singular generalized function and plays the role of a singular perturbation of a Laplace operator. Abst…

math.FA2016★ 1 cited

On the absence of Volterra correct restrictions and extensions of the Laplace operator

Bazarkan N. Biyarov

At the beginning of the last century J. Hadamard constructed the well-known example illustrating the incorrectness of the Cauchy problem for elliptic-type equations. If the Cauchy…

math.FA2016

Normal extensions

Bazarkan N. Biyarov

Let be a densely defined minimal linear operator in a Hilbert space . We prove theorem that if there exists at least one correct extension of with the property…