30 citations · 128 across the 34 of their papers we have counts for
27 papers · 1 filter
Matrix parabolic problems in Sobolev spaces of generalized smoothness
Valerii Los, Vladimir Mikhailets, Aleksandr Murach
We study a general linear parabolic problem for Petrovskii parabolic differential system in Sobolev anisotropic distribution spaces of generalized smoothness. Slowly varying functi…
Elliptic boundary-value problems in some distribution spaces of generalized smoothness
Anna Anop, Aleksandr Murach
We build a solvability theory of elliptic boundary-value problems in normed Sobolev spaces of generalized smoothness for any integrability exponent . The smoothness is given b…
Extended Sobolev scale for vector bundles, and its applications
Aleksandr Murach, Tetiana Zinchenko
We study an extended Sobolev scale for smooth vector bundles over a smooth closed manifold. This scale is built on the base of inner product distribution spaces of generalized smoo…
Interpolation spaces of generalized smoothness and their applications to elliptic equations
Anna Anop, Aleksandr Murach
We introduce and investigate classes of normed or quasinormed distribution spaces of generalized smoothness that can be obtained by various interpolation methods applied to classic…
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…