Solvability in the large for a class of vector fields on the torus

DOI10.1016/j.matpur.2006.08.001zbMath1157.35304OpenAlexW1982848251MaRDI QIDQ864189

Paulo L. Dattori da Silva, Adalberto Panobianco Bergamasco

Publication date: 13 February 2007

Published in: Journal de Mathématiques Pures et Appliquées. Neuvième Série (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.matpur.2006.08.001

zbMATH Keywords

closed rangefinite-codimensional rangeSussmann orbit

Mathematics Subject Classification ID

Related Items (16)

Global Solvability in Functional Spaces for Smooth Nonsingular Vector Fields in the Plane ⋮ Solvability of a first order differential operator on the two-torus ⋮ Global solvability and global hypoellipticity in Gevrey classes for vector fields on the torus ⋮ \(C^k\)-solvability near the characteristic set for a class of planar complex vector fields of infinite type ⋮ Global \(s\)-solvability and global \(s\)-hypoellipticity for certain perturbations of zero order of systems of constant real vector fields ⋮ Global solvability for a class of overdetermined systems ⋮ On certain non-hypoelliptic vector fields with finite-codimensional range on the three-torus ⋮ Existence and regularity of periodic solutions to certain first-order partial differential equations ⋮ Global hypoellipticity for a class of pseudo-differential operators on the torus ⋮ \(C^k\)-solvability near the characteristic set for a class of elliptic vector fields with degeneracies ⋮ Solvability of a class of first order differential operators on the torus ⋮ Gevrey solvability near the characteristic set for a class of planar complex vector fields of infinite type ⋮ Nonexistence of global solutions for a class of complex vector fields on two-torus ⋮ Solvability in the large for a class of complex vector fields on the cylinder ⋮ On the global solvability for overdetermined systems ⋮ Global solvability and global hypoellipticity of complex vector fields on surfaces

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Minimal sets of families of vector fields on compact surfaces
• Addition de variables et application à la régularité
• Propagation des singularités pour les opérateurs différentiels de type principal, localement résolubles, à coefficients analytiques, en dimension 2
• Propagation of singularities and semi-global existence theorems for (pseudo-)differential operators of principal type
• Orbits and global unique continuation for systems of vector fields
• Solvability near the characteristic set for a class of planar vector fields of infinite type.
• Normalization of complex-valued planar vector fields which degenerate along a real curve
• Global properties of a class of overdetermined systems.
• Curves von 2-manifolds and isotopies
• Global Solvability for a Class of Complex Vector Fields on the Two-Torus
• Globally Hypoelliptic Vector Fields on Compact Surfaces
• Globally Hypoelliptic and Globally Solvable First Order Evolution Equations
• Orbits of Families of Vector Fields and Integrability of Distributions
• A Note on Global Solvability of Vector Fields
• Elliptic planar vector fields with degeneracies
• A Generalization of a Poincare-Bendixson Theorem to Closed Two-Dimensional Manifolds
• An exact sequence in differential topology

This page was built for publication: Solvability in the large for a class of vector fields on the torus