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arXiv · 1910.01922

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

Alexandre Kirilov·Wagner Augusto Almeida de Moraes·Michael Ruzhansky
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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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Alexandre Kirilov, Wagner Augusto Almeida de Moraes, Michael Ruzhansky. 2019-10-02. Global properties of vector fields on compact Lie groups in Komatsu classes. https://doi.org/10.4171/zaa%2F1691

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