Simultaneous reduction of a family of commuting real vector fields and global hypoellipticity

DOI10.1007/BF02773949zbMath1137.35016MaRDI QIDQ2472727

Gerson Petronilho

Publication date: 22 February 2008

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

sub-Laplacians\(n\)-dimensional torus

Mathematics Subject Classification ID

Dynamics induced by flows and semiflows (37C10) Hypoelliptic equations (35H10) Subelliptic equations (35H20)

Related Items (7)

Global hypoellipticity and simultaneous approximability in ultradifferentiable classes ⋮ Perturbations by lower order terms do not destroy the global hypoellipticity of certain systems of pseudodifferential operators defined on torus ⋮ Global hypoelliptic vector fields in ultradifferentiable classes and normal forms ⋮ Global \(s\)-solvability and global \(s\)-hypoellipticity for certain perturbations of zero order of systems of constant real vector fields ⋮ Global hypoellipticity for strongly invariant operators ⋮ Global properties of vector fields on compact Lie groups in Komatsu classes ⋮ Perturbations of globally hypoelliptic operators on closed manifolds

Cites Work

• On commuting circle mappings and simultaneous Diophantine approximations
• Globally hypoelliptic vector fields
• An example of a globally hypoelliptic operator
• Sur la conjugaison différentiable des difféomorphismes du cercle à des rotations. (On smooth conjugacy of diffeomorphisms of the circle with rotations)
• Rapidly convergent iteration method for simultaneous normal forms of commuting maps
• Global hypoellipticity of subelliptic operators on closed manifolds
• Global hypoellipticity and simultaneous approximability
• Globally hypoelliptic systems of vector fields
• Hypoelliptic second order differential equations
• Globally Hypoelliptic Vector Fields on Compact Surfaces
• PERTURBATIONS OF VECTOR FIELDS ON TORI: RESONANT NORMAL FORMS AND DIOPHANTINE PHENOMENA
• Hypoelliptic vector fields and almost periodic motions on the torus Tⁿ

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