4 papers · 1 filter
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…