| Full text | |
| Author(s): |
Total Authors: 3
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| Affiliation: | [1] Univ Sao Paulo, Inst Ciencias Matemat & Comp, Dept Matemat, Caixa Postal 668, BR-13560970 Sao Carlos, SP - Brazil
[2] Univ Estadual Maringa, Dept Matemat, BR-87020900 Maringa, PR - Brazil
Total Affiliations: 2
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| Document type: | Journal article |
| Source: | BULLETIN DES SCIENCES MATHEMATIQUES; v. 148, p. 53-76, OCT 2018. |
| Web of Science Citations: | 0 |
| Abstract | |
This work deals with global solvability of a class of vector fields of the form L = partial derivative/partial derivative t + (a(x) + ib(x)) (partial derivative/partial derivative x + lambda partial derivative/partial derivative y), where a, b is an element of C-infinity(T-1, R) and lambda is an element of R, defined on the three-dimensional torus T-3 (x, y, t) similar or equal to R-3/2 pi Z(3). In addition to the interplay between the order of vanishing of the functions a and b, the change of sign of b between two consecutive zeros of a + ib has influence in the global solvability. Also, a Diophantine condition appears in a natural way in our results. (C) 2018 Elsevier Masson SAS. All rights reserved. (AU) | |
| FAPESP's process: | 12/03168-7 - Geometric theory of PDE and several complex variables |
| Grantee: | Jorge Guillermo Hounie |
| Support Opportunities: | Research Projects - Thematic Grants |
| FAPESP's process: | 15/20815-4 - Solvability and hypoellipticity of first order partial differential operators and the Riemann-Hilbert problem |
| Grantee: | Paulo Leandro Dattori da Silva |
| Support Opportunities: | Regular Research Grants |