7 citations · 30 across the 7 of their papers we have counts for
7 papers
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…
Sobolev-like Hilbert spaces induced by elliptic operators
Tetiana Kasirenko, Vladimir Mikhailets, Aleksandr Murach
We investigate properties of function spaces induced by the inner product Sobolev spaces over a bounded Euclidean domain and by an elliptic differential operator …
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…
Nonregular elliptic boundary-value problems and Hörmander spaces
Anna Anop, Tetiana Kasirenko, Aleksandr Murach
We investigate nonregular elliptic problems with boundary conditions of higher orders. We prove that these problems are Fredholm on appropriate pairs of inner product Hörmander spa…
Elliptic problems with boundary operators of higher orders in Hörmander-Roitberg spaces
Tetiana Kasirenko, Aleksandr Murach
We investigate elliptic boundary-value problems for which the maximum of the orders of the boundary operators is equal to or greater than the order of the elliptic differential equ…
Elliptic problems with boundary conditions of high orders in Hörmander spaces
Tetiana Kasirenko, Aleksandr Murach
In a class of inner product Hörmander spaces, we investigate a general elliptic problem for which the maximum of orders of boundary conditions is grater than or equal to the order…
Elliptic boundary-value problems in Hörmander spaces
Anna Anop, Tetiana Kasirenko
We investigate general elliptic boundary-value problems in Hörmander inner product spaces that form the extended Sobolev scale. The latter consists of all Hilbert spaces that are i…