33 citations · 40 across the 6 of their papers we have counts for
5 papers · 1 filter
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…
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…