Elliptic Systems of Pseudodifferential Equations in the Refined Scale on a Closed Manifold
Vladimir A. Mikhailets, Aleksandr A. Murach (2008)
Bulletin of the Polish Academy of Sciences. Mathematics
Similarity:
We study a system of pseudodifferential equations which is elliptic in the Petrovskii sense on a closed smooth manifold. We prove that the operator generated by the system is a Fredholm operator in a refined two-sided scale of Hilbert function spaces. Elements of this scale are special isotropic spaces of Hörmander-Volevich-Paneah.