Global solvability and global hypoellipticity for a class of complex vector fields on the 3-torus

Bergamasco, Adalberto Panobianco
Silva, Paulo Leandro Dattori da
Gonzalez, Rafael Borro
Kirilov, Alexandre

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Publication date

September 2015

DOI

10.1007/s11868-015-0121-0

Publisher

Basel

Journal

1662-9981

Abstract

This work deals with global solvability and global hypoellipticity of complex\ud 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. ∞'\ud ('T POT. 1'; R). The solvability and hypoellipticity depend on condition (P) and also on Diophantine properties of the coefficients.CNPqFAPES

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Global solvability and global hypoellipticity for a class of complex vector fields on the 3-torus

Abstract

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Global solvability and global hypoellipticity for a class of complex vector fields on the 3-torus

Abstract

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