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Gevrey semiglobal solvability for a class of elliptic vector fields with degeneracies

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Author(s):
Araujo, Gabriel ; Bergamasco, Adalberto P. ; da Silva, Paulo Dattori L.
Total Authors: 3
Document type: Journal article
Source: Mathematische Nachrichten; v. N/A, p. 20-pg., 2023-05-20.
Abstract

We deal with Gevrey solvability of a class of complex vector fields defined on O = R x S-1, given by l = ?/?t + (a(x,t) + ib(x,t))?/?x, b ? 0, near the characteristic set S = {0} x S1. Diophantine conditions appear in a natural way in our results. (AU)

FAPESP's process: 18/14316-3 - Geometric theory of PDE and multidimensional complex analysis
Grantee:Paulo Domingos Cordaro
Support Opportunities: Research Projects - Thematic Grants
FAPESP's process: 18/15046-0 - Solvability and hypoellipticity of first order partial differential operators and boundary value problems
Grantee:Paulo Leandro Dattori da Silva
Support Opportunities: Regular Research Grants
FAPESP's process: 18/12273-5 - Solvability of locally integrable structures
Grantee:Gabriel Cueva Candido Soares de Araújo
Support Opportunities: Scholarships in Brazil - Post-Doctoral