Global analytic hypoellipticity of involutive systems on compact manifolds

DOI10.1007/s00208-022-02426-4zbMath1518.35232MaRDI QIDQ6114496

Bruno de Lessa Victor, Gabriel Araújo, Paulo L. Dattori da Silva

Publication date: 12 July 2023

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

zbMATH Keywords

global Gevrey hypoellipticity

Mathematics Subject Classification ID

Hypoelliptic equations (35H10) PDEs on manifolds (35R01) Systems of linear first-order PDEs (35F35)

Related Items (1)

Global analytic solvability of involutive systems on compact manifolds

Cites Work

• The analytic approximation of differentiable mappings
• On Levi's problem and the imbedding of real-analytic manifolds
• Global solvability of real analytic involutive systems on compact manifolds
• Classes of globally solvable involutive systems
• Global solvability and global hypoellipticity in Gevrey classes for vector fields on the torus
• Global Gevrey solvability for a class of involutive systems on the torus
• A Gevrey differential complex on the torus
• Globally hypoelliptic systems of vector fields
• Global solvability for a class of overdetermined systems
• Projective and injective limits of weakly compact sequences of locally convex spaces
• Cohomology relative to a system of closed forms on the torus
• Global solvability for certain classes of underdetermined systems of vector fields
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