Global properties of vector fields on compact Lie groups in Komatsu classes
Analysis of PDEs
2022-04-07 v1
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.
Keywords
Cite
@article{arxiv.1910.01922,
title = {Global properties of vector fields on compact Lie groups in Komatsu classes},
author = {Alexandre Kirilov and Wagner Augusto Almeida de Moraes and Michael Ruzhansky},
journal= {arXiv preprint arXiv:1910.01922},
year = {2022}
}
Comments
23 pages. arXiv admin note: text overlap with arXiv:1910.00059