On global hypoellipticity of degenerate elliptic operators

DOI10.1007/PL00004693zbMath0931.35034MaRDI QIDQ1297990

A. Alexandrou Himonas, Gerson Petronilho

Publication date: 23 September 1999

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

zbMATH Keywords

Liouville vectorshypoellipticity on the torus

Mathematics Subject Classification ID

Degenerate elliptic equations (35J70) Hypoelliptic equations (35H10)

Related Items (14)

Global hypoellipticity and global solvability in Gevrey classes on the \(n\)-dimensional torus ⋮ On the global solvability in Gevrey classes on the \(n\)-dimensional torus ⋮ Regularity of a class of subLaplacians on the 3-dimensional torus ⋮ Global hypoellipticity and simultaneous approximability in ultradifferentiable classes ⋮ Propagation of regularity and global hypoellipticity ⋮ 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 ⋮ Global hypoellipticity and simultaneous approximability ⋮ Global analytic and Gevrey solvability of sublaplacians under Diophantine conditions ⋮ Global hypoellipticity for a class of pseudo-differential operators on the torus ⋮ On Gevrey regularity of globally \(C^{\infty}\) hypoelliptic operators ⋮ Global solvability and simultaneously approximable vectors ⋮ On Gevrey solvability and regularity ⋮ Global hypoellipticity for a class of overdetermined systems of pseudo-differential operators on the torus

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