Elliptic Systems of Pseudodifferential Equations in the Refined Scale on a Closed Manifold
Volume 56 / 2008
Bulletin Polish Acad. Sci. Math. 56 (2008), 213-224
MSC: Primary 35J45; Secondary 46E35.
DOI: 10.4064/ba56-3-4
Abstract
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.
