Artículos de revistas
Global solvability and global hypoellipticity for a class of complex vector fields on the 3-torus
Fecha
2015-09Registro en:
Journal of Pseudo-Differential Operators and Applications, Basel, v. 6, n. 3, p. 341-360, Sep. 2015
1662-9981
10.1007/s11868-015-0121-0
Autor
Bergamasco, Adalberto Panobianco
Silva, Paulo Leandro Dattori da
Gonzalez, Rafael Borro
Kirilov, Alexandre
Institución
Resumen
This work deals with global solvability and global hypoellipticity of complex
vector fields of the form L = ∂/∂t + i 'B IND. 1 '(t)∂/∂ 'X IND. 1' + i 'B IND. 2' (t)∂/∂ 'X IND. 2', defined on 'T POT. 3' _~ 'R POT. 3'/2 'pi' 'Z POT. 3', where both 'B IND. 1' and 'B IND. 2' belong to 'C POT. ∞'
('T POT. 1'; R). The solvability and hypoellipticity depend on condition (P) and also on Diophantine properties of the coefficients.