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math.AP2017
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…
math.AP2017★ 3 cited
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…
math.AP2012★ 8 cited
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…