scholarly journals Global hypoellipticity and global solvability in Gevrey classes on the n-dimensional torus

2004 ◽  
Vol 199 (2) ◽  
pp. 256-268 ◽  
Author(s):  
A.A. Albanese ◽  
L. Zanghirati
Keyword(s):  
Global Solvability ◽  
Dimensional Torus ◽  
Gevrey Classes ◽  
Global Hypoellipticity

scholarly journals Global solvability and global hypoellipticity in Gevrey classes for vector fields on the torus

2018 ◽  
Vol 264 (5) ◽  
pp. 3500-3526 ◽  
Author(s):  
A.P. Bergamasco ◽  
P.L. Dattori da Silva ◽  
R.B. Gonzalez
Keyword(s):  
Vector Fields ◽  
Global Solvability ◽  
Gevrey Classes ◽  
Global Hypoellipticity

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

2015 ◽  
Vol 6 (3) ◽  
pp. 341-360 ◽  
Author(s):  
Adalberto P. Bergamasco ◽  
Paulo L. Dattori da Silva ◽  
Rafael B. Gonzalez ◽  
Alexandre Kirilov
Keyword(s):  
Vector Fields ◽  
Global Solvability ◽  
Complex Vector ◽  
Global Hypoellipticity

scholarly journals Global hypoellipticity and global solvability for vector fields on compact Lie groups

2021 ◽  
Vol 280 (2) ◽  
pp. 108806
Author(s):  
Alexandre Kirilov ◽  
Wagner A.A. de Moraes ◽  
Michael Ruzhansky
Keyword(s):  
Lie Groups ◽  
Vector Fields ◽  
Global Solvability ◽  
Compact Lie Groups ◽  
Global Hypoellipticity

scholarly journals Global Hypoellipticity and Global Solvability for a Class of Operators on Compact Manifolds

1997 ◽  
Vol 141 (2) ◽  
pp. 236-253
Author(s):  
Adalberto P. Bergamasco ◽  
Paulo A.S. Caetano ◽  
Cezar I. Kondo
Keyword(s):  
Global Solvability ◽  
Compact Manifolds ◽  
Global Hypoellipticity

scholarly journals Minimal F2-flows

1985 ◽  
Vol 39 (2) ◽  
pp. 187-193
Author(s):  
Daniel Berend
Keyword(s):  
Hausdorff Dimension ◽  
Sufficient Conditions ◽  
Necessary And Sufficient Conditions ◽  
Affine Transformations ◽  
Dimensional Torus ◽  
Minimal Sets ◽  
Necessary And Sufficient

AbstractLet σ be an ergodic endomorphism of the r–dimensional torus and Π a semigroup generated by two affine transformations lying above σ. We show that the flow defined by Π admits minimal sets of positive Hausdorff dimension and we give necessary and sufficient conditions for this flow to be minimal.

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