GLOBAL SOLVABILITY OF REAL ANALYTIC INVOLUTIVE SYSTEMS ON COMPACT MANIFOLDS. PART 2

Autor(es)

Hounie, Jorge ^[1] ; Zugliani, Giuliano ^[1]

Afiliação do(s) autor(es)

^[1] Univ Fed Sao Carlos, Dept Matemat, BR-13565905 Sao Paulo - Brazil

• Tipo de documento: Artigo Científico
• Fonte: TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY; v. 371, n. 7, p. 5157-5178, APR 1 2019.
• Citações Web of Science: 1

Resumo

This work continues a previous study by Hounie and Zugliani on the global solvability of a locally integrable structure of tube type and a corank one, considering a linear partial differential operator L associated with a real analytic closed 1-form defined on a real analytic closed n-manifold. We deal now with a general complex form and complete the characterization of the global solvability of L. In particular, we state a general theorem, encompassing the main result of Hounie and Zugliani. As in Hounie and Zugliani's work, we are also able to characterize the global hypoellipticity of L and the global solvability of Ln-1-the last nontrivial operator of the complex when M is orientable-which were previously considered by Bergamasco, Cordaro, Malagutti, and Petronilho in two separate papers, under an additional regularity assumption on the set of the characteristic points of L. (AU)

• Processo FAPESP: 14/23748-3 - Sistemas involutivos e resolubilidade global
• Beneficiário: Giuliano Angelo Zugliani
• Modalidade de apoio: Bolsas no Brasil - Pós-Doutorado
• Processo FAPESP: 12/03168-7 - Teoria geométrica de EDP e várias variáveis complexas
• Beneficiário: Jorge Guillermo Hounie
• Modalidade de apoio: Auxílio à Pesquisa - Temático