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

Vladimir A. Mikhailets; Alexandr A. Murach

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arXiv · 0711.2164

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

Vladimir A. Mikhailets·Alexandr A. Murach

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Abstract

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 Hörmander--Volevich--Paneah.

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Vladimir A. Mikhailets, Alexandr A. Murach. 2007-11-14. Elliptic systems of pseudodifferential equations in a refined scale on a closed manifold. https://arxiv.org/abs/0711.2164

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