Elliptic systems of pseudodifferential equations in a refined scale on a closed manifold

Details Elliptic systems of pseudodifferential equations in a refined scale on a closed manifold Elliptic systems of pseudodifferential equations in a refined scale on a closed manifold

2007-11-14

arxiv.org/abs/0711.2164v1

Extended variant is published in: Bull. Pol. Acad. Sci. Math., 56 (2008), no. 3 -- 4, 213 -- 224.

Mathematics

Analysis of PDEs

Scientific paper

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 system is Fredholm one on a refined two-sided scale
of the functional Hilbert spaces. Elements of this scale are the special
isotropic spaces of H\"{o}rmander--Volevich--Paneah.

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