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

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Autor(es):
Ferra, I. A. ; dos Santos, L. A. Carvalho
Número total de Autores: 2
Tipo de documento: Artigo Científico
Fonte: JOURNAL OF FUNCTIONAL ANALYSIS; v. 288, n. 6, p. 27-pg., 2025-01-14.
Resumo

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)

Processo FAPESP: 23/11769-5 - Resolubilidade e hipoelipticidade global em variedades compactas
Beneficiário:Igor Ambo Ferra
Modalidade de apoio: Auxílio à Pesquisa - Regular