33 citations · 40 across the 6 of their papers we have counts for
6 papers
Elliptic operators and boundary problems in spaces of generalized smoothness
V. A. Mikhailets, A. A. Murach, I. S. Chepurukhina
The paper contains a survey of the results obtained during the last ten years in the theory of elliptic boundary problems in Hörmander function spaces, developed by the authors, an…
Parabolic boundary-value problems and generalized Sobolev spaces
V. M. Los, V. A. Mikhailets, A. A. Murach
The research monograph expounds the foundation of a new theory of parabolic initial-boundary-value problems in scales of generalized anisotropic Sobolev spaces. These scales are ca…
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…
Hörmander Spaces, Interpolation, and Elliptic Problems
V. A. Mikhailets, A. A. Murach
The research monograph gives the first systematic exposition of the elliptic (scalar and matrix) operators theory and elliptic boundary-value problems in the scales of Hilbert spac…
Interpolation with a function parameter and refined scale of spaces
Vladimir A. Mikhailets, Alexandr A. Murach
The interpolation of couples of separable Hilbert spaces with a function parameter is studied. The main properties of the classic interpolation are proved. Some applications to the…
Elliptic systems of pseudodifferential equations in a refined scale on a closed manifold
Vladimir A. Mikhailets, Alexandr A. Murach
We study a system of pseudodifferential equations that is elliptic in the sense of Petrovskii on a closed compact smooth manifold. We prove that the operator generated by the syste…