A Gevrey differential complex on the torus

DOI10.1007/s00041-019-09713-wzbMath1434.58008OpenAlexW2999846209WikidataQ126355181 ScholiaQ126355181MaRDI QIDQ2286801

Paulo L. Dattori da Silva, Abdelhamid Meziani

Publication date: 22 January 2020

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

Full work available at URL: https://doi.org/10.1007/s00041-019-09713-w

zbMATH Keywords

solvabilityFourier serieshypoellipticitydifferential complexDiophantine condition

Mathematics Subject Classification ID

Differential complexes (58J10) Systems of linear first-order PDEs (35F35)

Related Items (3)

Global analytic hypoellipticity of involutive systems on compact manifolds ⋮ Global analytic solvability of involutive systems on compact manifolds ⋮ Global Gevrey solvability for a class of perturbations of involutive systems

Cites Work

• Unnamed Item
• Global solvability and global hypoellipticity in Gevrey classes for vector fields on the torus
• Globally hypoelliptic systems of vector fields
• Cohomology relative to a system of closed forms on the torus
• HYPOELLIPTICITY OF NONSINGULAR CLOSED 1-FORMS ON COMPACT MANIFOLDS
• A Multivariate Faa di Bruno Formula with Applications
• Global Hypoellipticity and Liouville Numbers

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