Propagation of regularity for a class of systems of real vector fields on torus
Analysis of PDEs
2024-05-07 v1
Abstract
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.
Cite
@article{arxiv.2405.02450,
title = {Propagation of regularity for a class of systems of real vector fields on torus},
author = {Igor Ambo Ferra and Luís Antônio Carvalho dos Santos},
journal= {arXiv preprint arXiv:2405.02450},
year = {2024}
}