Global Gevrey solvability for a class of involutive systems on the torus

Autor(es)

Bergamasco, Adalberto P. ^[1] ; de Medeira, Cleber ^[2] ; Zani, Sergio L. ^[1]

Afiliação do(s) autor(es)

^[1] ICMC USP, Dept Matemat, Caixa Postal 668, BR-13560970 Sao Carlos, SP - Brazil

^[2] UFPR, Dept Matemat, Caixa Postal 19081, BR-81531980 Curitiba, Parana - Brazil

• Tipo de documento: Artigo Científico
• Fonte: REVISTA MATEMATICA IBEROAMERICANA; v. 37, n. 4, p. 1459-1488, 2021.
• Citações Web of Science: 0

Resumo

Let L-j = partial derivative/partial derivative t(j) + (aj + ib(j))(t(j))partial derivative/partial derivative x, j = 1, ... , n, be a system of complex vector fields defined on the (n + 1)-dimensional torus, where a(j) and b(j) are real-valued functions belonging to the Gevrey class G(s) (T-1), s > 1. We present a complete characterization to the global s-solvability of this system in terms of diophantine properties of the coefficients and the Nirenberg-Treves condition (P). (AU)

• Processo FAPESP: 18/14316-3 - Teoria geométrica de EDP e análise complexa multidimensional
• Beneficiário: Paulo Domingos Cordaro
• Modalidade de apoio: Auxílio à Pesquisa - Temático