8 citations · 11 across the 4 of their papers we have counts for
4 papers
An extended Hilbert scale and its applications
Vladimir Mikhailets, Aleksandr Murach, Tetiana Zinchenko
We propose a new viewpoint on Hilbert scales extending them by means of all Hilbert spaces that are interpolation ones between spaces on the scale. We prove that this extension adm…
Petrovskii elliptic systems in the extended Sobolev scale
Tetiana Zinchenko, Aleksandr Murach
Petrovskii elliptic systems of linear differential equations given on a closed smooth manifold are investigated on the extended Sobolev scale. This scale consists of all Hilbert sp…
Elliptic operators on refined Sobolev scales on vector bundles
Tetiana Zinchenko
We introduce a refined Sobolev scale on a vector bundle over a closed infinitely smooth manifold. This scale consists of inner product Hörmander spaces parametrized with a real num…
Parameter-elliptic operators on the extended Sobolev scale
Aleksandr A. Murach, Tetiana Zinchenko
Parameter--elliptic pseudodifferential operators given on a closed smooth manifold are investigated on the extended Sobolev scale. This scale consists of all Hilbert spaces that ar…