7 citations · 13 across the 10 of their papers we have counts for
10 papers
Elliptic operators and boundary problems in spaces of generalized smoothness
V. A. Mikhailets, A. A. Murach, I. S. Chepurukhina
The paper contains a survey of the results obtained during the last ten years in the theory of elliptic boundary problems in Hörmander function spaces, developed by the authors, an…
Distribution spaces associated with elliptic operators
Iryna Chepurukhina, Aleksandr Murach
We study complex distribution spaces given over a bounded Lipschitz domain and associated with an elliptic differential operator with -coefficients on $\overlin…
Elliptic problems in Besov and Sobolev-Triebel-Lizorkin spaces of low regularity
I. S. Chepurukhina, A. A. Murach
Elliptic problems with additional unknown distributions in boundary conditions are investigated in Besov and Sobolev-Triebel-Lizorkin spaces of low regularity, specifically of an a…
Elliptic problems with rough boundary data in Nikolskii spaces
A. A. Murach, I. S. Chepurukhina
We investigate a general elliptic problem given in a bounded Euclidean domain with boundary data in Nikolskii spaces of low, specifically, negative order. The right-hand side of th…
Elliptic problems with unknowns on the boundary and irregular boundary data
Iryna Chepurukhina, Aleksandr Murach
We consider an elliptic problem with unknowns on the boundary of the domain of the elliptic equation and suppose that the right-hand side of this equation is square integrable and…
Elliptic problems with nonclassical boundary conditions in an extended Sobolev scale
A. A. Murach, I. S. Chepurukhina
We consider elliptic problems with nonclassical boundary conditions that contain additional unknown functions on the border of the domain of the elliptic equation and also contain…
Hörmander spaces on manifolds, and their application to elliptic boundary-value problems
T. M. Kasirenko, A. A. Murach, I. S. Chepurukhina
We introduce an extended Sobolev scale on a smooth compact manifold with boundary. The scale is formed by inner-product Hörmander spaces for which an RO-varying radial function ser…
Elliptic problems in the sense of Lawruk with boundary operators of higher orders in refined Sobolev scale
Tetiana Kasirenko, Iryna Chepurukhina
In a refined Sobolev scale, we investigate an elliptic boundary-value problem with additional unknown functions in boundary conditions for which the maximum of orders of boundary o…
Elliptic boundary-value problems in the sense of Lawruk on Sobolev and Hörmander spaces
Iryna S. Chepurukhina, Aleksandr A. Murach
We investigate elliptic boundary-value problems with additional unknown functions in boundary conditions. These problems were introduced by Lawruk. We prove that the operator corre…
Elliptic problems in the sense of B. Lawruk on two-sided refined scales of spaces
Iryna S. Chepurukhina, Aleksandr A. Murach
We investigate elliptic boundary-value problems with additional unknown functions on the boundary of a Euclidean domain. These problems were introduced by Lawruk. We prove that the…