Global analytic hypoellipticity of a class of degenerate elliptic operators on the torus
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Publication:1902183
DOI10.4310/MRL.1994.v1.n4.a10zbMath0836.35036OpenAlexW2014897166MaRDI QIDQ1902183
A. Alexandrou Himonas, Paulo D. Cordaro
Publication date: 8 January 1996
Published in: Mathematical Research Letters (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.4310/mrl.1994.v1.n4.a10
Related Items (21)
Analytic regularity for an operator with Trèves curves ⋮ (Semi-)global analytic hypoellipticity for a class of “sums of squares” which fail to be locally analytic hypoelliptic ⋮ Remarks about global analytic hypoellipticity ⋮ On a class of globally analytic hypoelliptic sums of squares ⋮ Regularity of a class of subLaplacians on the 3-dimensional torus ⋮ On degenerate elliptic operators of infinite type ⋮ Global hypoellipticity and simultaneous approximability in ultradifferentiable classes ⋮ Perturbations by lower order terms do not destroy the global hypoellipticity of certain systems of pseudodifferential operators defined on torus ⋮ On the partial and microlocal regularity for generalized Métivier operators ⋮ Global hypoelliptic vector fields in ultradifferentiable classes and normal forms ⋮ Unnamed Item ⋮ On global analytic and Gevrey hypoellipticity on the torus and the Métivier inequality ⋮ Global \(s\)-solvability and global \(s\)-hypoellipticity for certain perturbations of zero order of systems of constant real vector fields ⋮ Global analytic and Gevrey hypoellipticity of sublaplacians under Diophantine conditions ⋮ On Gevrey regularity of globally \(C^{\infty}\) hypoelliptic operators ⋮ Global regularity in ultradifferentiable classes ⋮ Solvability near the characteristic set for a class of planar vector fields of infinite type. ⋮ On Gevrey solvability and regularity ⋮ Lower order perturbation and global analytic vectors for a class of globally analytic hypoelliptic operators ⋮ Global analytic regularity for sums of squares of vector fields ⋮ Global analytic hypoellipticity and solvability of certain operators subject to group actions
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