Propagation of regularity and global hypoellipticity

DOI10.1307/mmj/1039029977zbMath1028.35049OpenAlexW2051448626MaRDI QIDQ1396326

A. Alexandrou Himonas, Gerson Petronilho

Publication date: 30 June 2003

Published in: Michigan Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1307/mmj/1039029977

zbMATH Keywords

torusHörmander's bracket condition

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Hypoelliptic equations (35H10) Singularity in context of PDEs (35A21)

Related Items (9)

Regularity of a class of subLaplacians on the 3-dimensional torus ⋮ Global hypoellipticity and simultaneous approximability in ultradifferentiable classes ⋮ Global solvability and propagation of regularity of sums of squares on compact manifolds ⋮ Global hypoelliptic vector fields in ultradifferentiable classes and normal forms ⋮ Global \(s\)-solvability and global \(s\)-hypoellipticity for certain perturbations of zero order of systems of constant real vector fields ⋮ On Gevrey regularity of globally \(C^{\infty}\) hypoelliptic operators ⋮ Global regularity in ultradifferentiable classes ⋮ On Gevrey solvability and regularity ⋮ Global hypoellipticity for strongly invariant operators

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