33 citations · 63 across the 6 of their papers we have counts for
4 papers · 1 filter
Elliptic problems and Hörmander spaces
Vladimir A. Mikhailets, Aleksandr A. Murach
The paper gives a survey of the modern results on elliptic problems on the Hörmander function spaces. More precisely, elliptic problems are studied on a Hilbert scale of the isotro…
Regular elliptic boundary-value problem in a two-sided refined scale of spaces
Vladimir A. Mikhailets, Aleksandr A. Murach
A regular elliptic boundary-value problem over a bounded domain with a smooth boundary is studied. We prove that the operator of this problem is a Fredholm one in the two-sided ref…
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…