Global properties of vector fields on compact Lie groups in Komatsu classes

Published 2 Oct 2019 in math.AP | (1910.01922v1)

Abstract: In this paper we characterize completely the global hypoellipticity and global solvability in the sense of Komatsu (of Roumieu and Beurling types) of constant-coefficients vector fields on compact Lie groups. We also analyze the influence of perturbations by lower order terms in the preservation of these properties.

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