Global solvability for certain classes of underdetermined systems of vector fields

DOI10.1007/PL00004558zbMath0863.58062OpenAlexW4239808680MaRDI QIDQ5961426

Gerson Petronilho, Adalberto Panobianco Bergamasco, Paulo D. Cordaro

Publication date: 8 April 1997

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/174919

zbMATH Keywords

global solvabilityglobal Poincaré lemmaunderdetermined systems of vector fields

Mathematics Subject Classification ID

Related Items (24)

Global properties of a class of overdetermined systems. ⋮ Global hypoellipticity and global solvability in Gevrey classes on the \(n\)-dimensional torus ⋮ On the global solvability in Gevrey classes on the \(n\)-dimensional torus ⋮ Tube structures of co-rank 1 with forms defined on compact surfaces ⋮ Global hypoellipticity and global solvability for a class of operators on compact manifolds ⋮ Global solvability of real analytic involutive systems on compact manifolds ⋮ Global Gevrey hypoellipticity on the torus for a class of systems of complex vector fields ⋮ Classes of globally solvable involutive systems ⋮ Cohomology relative to a system of closed forms on the torus ⋮ Global analytic hypoellipticity of involutive systems on compact manifolds ⋮ Global analytic solvability of involutive systems on compact manifolds ⋮ Global \(s\)-solvability and global \(s\)-hypoellipticity for certain perturbations of zero order of systems of constant real vector fields ⋮ Global analytic and Gevrey solvability of sublaplacians under Diophantine conditions ⋮ Global solvability of real analytic involutive systems on compact manifolds. Part 2 ⋮ Global solvability for a class of overdetermined systems ⋮ On the global solvability of involutive systems ⋮ Global solvability and simultaneously approximable vectors ⋮ Global \(s\)-solvability, global \(s\)-hypoellipticity and Diophantine phenomena ⋮ On Gevrey solvability and regularity ⋮ Global solvability on the torus for certain classes of operators in the form of a sum of squares of vector fields ⋮ Globally solvable systems of complex vector fields ⋮ On the global solvability for overdetermined systems ⋮ Closedness of the range for vector fields on the torus ⋮ Global solvability of a class of involutive systems

Cites Work

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• Study of a model in the theory of complexes of pseudodifferential operators
• Globally hypoelliptic systems of vector fields
• On Local Solvability of Underdetermined Systems of Vector Fields
• Globally Hypoelliptic and Globally Solvable First Order Evolution Equations
• Global Solvability of an Abstract Complex

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