On the global solvability of involutive systems

DOI10.1016/j.jmaa.2016.06.045zbMath1359.37107OpenAlexW2473884739MaRDI QIDQ530341

Alexandre Kirilov, Cleber de Medeira, Sérgio Luís Zani, Adalberto Panobianco Bergamasco

Publication date: 29 July 2016

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2016.06.045

zbMATH Keywords

global solvabilitycomplex vector fieldsLiouville numberinvolutive systems

Mathematics Subject Classification ID

Pseudodifferential operators as generalizations of partial differential operators (35S05) Linear first-order PDEs (35F05) Complex vector fields, holomorphic foliations, (mathbb{C})-actions (32M25) Dynamical aspects of holomorphic foliations and vector fields (37F75)

Related Items (6)

Tube structures of co-rank 1 with forms defined on compact surfaces ⋮ A class of globally non-solvable involutive systems on the torus ⋮ Global Gevrey solvability for a class of perturbations of involutive systems ⋮ Global solvability of real analytic involutive systems on compact manifolds. Part 2 ⋮ Global Denjoy-Carleman hypoellipticity for a class of systems of complex vector fields and perturbations ⋮ Global Gevrey solvability for a class of involutive systems on the torus

Cites Work

• Globally solvable systems of complex vector fields
• Study of a model in the theory of complexes of pseudodifferential operators
• Global solvability of a class of involutive systems
• Global properties of a class of overdetermined systems.
• Globally hypoelliptic systems of vector fields
• Global solvability for a class of overdetermined systems
• On the global solvability for overdetermined systems
• Global solutions to involutive systems
• Globally Hypoelliptic and Globally Solvable First Order Evolution Equations
• Global Solvability of an Abstract Complex
• Remarks about global analytic hypoellipticity
• Global Hypoellipticity and Liouville Numbers
• Global solvability for certain classes of underdetermined systems of vector fields
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