Propagation of regularity for a class of systems of real vector fields on torus
We characterize the global hypoellipticity, almost hypoellipticity and solvability for a class of systems of real vector fields on the (n + 1)-dimensional torus as well as the same properties about the sum of squares associated to the system. The key result is a theorem about propagation of regulari...
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| Format: | Artikel |
| Sprache: | eng |
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| Zusammenfassung: | We characterize the global hypoellipticity, almost hypoellipticity and
solvability for a class of systems of real vector fields on the (n +
1)-dimensional torus as well as the same properties about the sum of squares
associated to the system. The key result is a theorem about propagation of
regularity for solutions of the system. |
|---|---|
| DOI: | 10.48550/arxiv.2405.02450 |