Global Gevrey solvability for a class of perturbations of involutive systems

DOI10.1016/j.jde.2020.09.006zbMath1454.35050OpenAlexW3088357684MaRDI QIDQ2208465

Igor A. Ferra

Publication date: 3 November 2020

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jde.2020.09.006

zbMATH Keywords

involutive systemglobal Gevrey solvability

Mathematics Subject Classification ID

Linear first-order PDEs (35F05) Overdetermined systems of PDEs with variable coefficients (35N10)

Cites Work

• Existence and regularity of periodic solutions to certain first-order partial differential equations
• On the global solvability of involutive systems
• Global \(s\)-solvability, global \(s\)-hypoellipticity and Diophantine phenomena
• Gevrey regularity of the periodic gKdV equation
• Globally solvable systems of complex vector fields
• Global \(s\)-solvability and global \(s\)-hypoellipticity for certain perturbations of zero order of systems of constant real vector fields
• Beitrag zum Divisionsproblem für Ultradistributionen und ein Fortsetzungssatz
• Global solvability of a class of involutive systems
• Global solvability of real analytic involutive systems on compact manifolds
• Global solvability and global hypoellipticity in Gevrey classes for vector fields on the torus
• A Gevrey differential complex on the torus
• Global Gevrey hypoellipticity on the torus for a class of systems of complex vector fields
• Exponential estimates for oscillatory integrals with degenerate phase functions
• Global Hypoellipticity and Liouville Numbers

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