Elliptic systems of pseudodifferential equations in a refined scale on a closed manifold
Analysis of PDEs
2009-03-30 v1
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 H\"{o}rmander--Volevich--Paneah.
Keywords
Cite
@article{arxiv.0711.2164,
title = {Elliptic systems of pseudodifferential equations in a refined scale on a closed manifold},
author = {Vladimir A. Mikhailets and Alexandr A. Murach},
journal= {arXiv preprint arXiv:0711.2164},
year = {2009}
}