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Propagation of regularity for a class of systems of real vector fields on torus

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Author(s):
Ferra, I. A. ; dos Santos, L. A. Carvalho
Total Authors: 2
Document type: Journal article
Source: JOURNAL OF FUNCTIONAL ANALYSIS; v. 288, n. 6, p. 27-pg., 2025-01-14.
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. (c) 2025 Elsevier Inc. All rights are reserved, including those for text and data mining, AI training, and similar technologies. (AU)

FAPESP's process: 23/11769-5 - Global solvability and hypoellipticity on compact manifolds
Grantee:Igor Ambo Ferra
Support Opportunities: Regular Research Grants