Abstract
In this article we deal with Gevrey global solvability of non-singular first-order operators defined on an n-dimensional s-Gevrey manifold, s > 1. As done by Duistermaat and Hörmander in the C ∞ framework, we show that Gevrey global solvability is equivalent the existence of a global cross section.
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The first author was supported in part by CNPq and FAPESP.
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Dattori da Silva, P.L., Fronza da Silva, M. Gevrey global solvability of non-singular real first-order differential operators. Annali di Matematica 192, 245–253 (2013). https://doi.org/10.1007/s10231-011-0221-2
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DOI: https://doi.org/10.1007/s10231-011-0221-2