Global solvability of a class of involutive systems

DOI10.1006/jmaa.1999.6310zbMath0942.35011OpenAlexW2066535181MaRDI QIDQ1289055

Gerson Petronilho, Adalberto Panobianco Bergamasco

Publication date: 29 March 2000

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

Full work available at URL: https://semanticscholar.org/paper/9de1927f478e72a4828b51708b94d8888d880f9e

zbMATH Keywords

Fourier transformtorusFourier seriesDiophantine conditions\(p\)-formsLiouville forms

Mathematics Subject Classification ID

Geometric theory, characteristics, transformations in context of PDEs (35A30)

Related Items (13)

Tube structures of co-rank 1 with forms defined on compact surfaces ⋮ Global solvability of real analytic involutive systems on compact manifolds ⋮ Global solutions to involutive systems ⋮ Cohomology relative to a system of closed forms on the torus ⋮ Levi-flat CR structures on compact Lie groups ⋮ Global properties of vector fields on compact Lie groups in Komatsu classes. II: Normal forms ⋮ Global Gevrey solvability for a class of perturbations of involutive systems ⋮ Global solvability of real analytic involutive systems on compact manifolds. Part 2 ⋮ On the global solvability of involutive systems ⋮ Global Gevrey solvability for a class of involutive systems on the torus ⋮ Fourier analysis for Denjoy–Carleman classes on the torus ⋮ Global hypoellipticity for a class of overdetermined systems of pseudo-differential operators on the torus ⋮ Globally solvable systems of complex vector fields

Cites Work

• Study of a model in the theory of complexes of pseudodifferential operators
• Globally hypoelliptic systems of vector fields
• Globally Hypoelliptic and Globally Solvable First Order Evolution Equations
• Global Solvability of an Abstract Complex
• Global solvability for certain classes of underdetermined systems of vector fields
• Unnamed Item

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