11 citations · 21 across the 7 of their papers we have counts for
8 papers
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…
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 generalized Sobolev spaces
Anna Anop, Robert Denk, Aleksandr Murach
We investigate regular elliptic boundary-value problems in bounded domains and show the Fredholm property for the related operators in an extended scale formed by inner product Sob…
Lawruk elliptic boundary-value problems for homogeneous differential equations
Anna Anop
We investigate Lawruk elliptic boundary-value problems for homogeneous differential equations in a two-sided refined Sobolev scale. These problems contain additional unknown functi…
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 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…
Parameter-elliptic problems and interpolation with a function parameter
Anna V. Anop, Aleksandr A. Murach
Parameter-elliptic boundary-value problems are investigated on the extended Sobolev scale. This scale consists of all Hilbert spaces that are interpolation spaces with respect to t…
Regular elliptic boundary-value problems in the extended Sobolev scale
Anna V. Anop, Aleksandr A. Murach
We investigate an arbitrary regular elliptic boundary-value problem given in a bounded Euclidean domain with infinitely smooth boundary. We prove that the operator of the problem i…