6 papers
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…