Global properties of a class of overdetermined systems.

DOI10.1016/S0022-1236(02)00055-1zbMath1034.32024MaRDI QIDQ1874450

Sérgio Luís Zani, W. V. L. Nunes, Adalberto Panobianco Bergamasco

Publication date: 25 May 2003

Published in: Journal of Functional Analysis (Search for Journal in Brave)

zbMATH Keywords

analytic singularitiesstationary phaseglobal solvabilitylevel setsEuler graphoverdetermined systemslocally integrable structurescommensurable periodshypoelliptic systemspseudoperiodic functionsthree-dimensional real torus

Mathematics Subject Classification ID

Hypoelliptic equations (35H10) Overdetermined systems of PDEs with variable coefficients (35N10) Other partial differential equations of complex analysis in several variables (32W50)

Related Items (15)

Solvability in the large for a class of vector fields on the torus ⋮ Global solvability of real analytic involutive systems on compact manifolds ⋮ Global solutions to involutive systems ⋮ Classes of globally solvable involutive systems ⋮ A class of globally non-solvable involutive systems on the torus ⋮ Global Analytic Regularity for Structures of Co-Rank One ⋮ 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 the global solvability of involutive systems ⋮ Globally analytic hypoelliptic vector fields on compact surfaces ⋮ Global Gevrey solvability for a class of involutive systems on the torus ⋮ Gevrey solvability near the characteristic set for a class of planar complex vector fields of infinite type ⋮ Prescribing analytic singularities for solutions of a class of vector fields on the torus ⋮ Globally solvable systems of complex vector fields ⋮ On the global solvability for overdetermined systems

Cites Work

• Topological and ergodic properties of closed 1-forms with incommensurable periods
• Study of a model in the theory of complexes of pseudodifferential operators
• Globally hypoelliptic systems of vector fields
• Curves von 2-manifolds and isotopies
• Global Solvability of an Abstract Complex
• Remarks about global analytic hypoellipticity
• Topological Transitivity on the Torus
• An exact sequence in differential topology
• Global solvability for certain classes of underdetermined systems of vector fields
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Global properties of a class of overdetermined systems.