Global \(s\)-solvability and global \(s\)-hypoellipticity for certain perturbations of zero order of systems of constant real vector fields
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Publication:926870
DOI10.1016/j.jde.2008.02.020zbMath1155.35010OpenAlexW2059747877MaRDI QIDQ926870
Gerson Petronilho, Sérgio Luís Zani
Publication date: 21 May 2008
Published in: Journal of Differential Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jde.2008.02.020
Pseudodifferential operators as generalizations of partial differential operators (35S05) Hypoelliptic equations (35H10)
Related Items (9)
Global Solvability in Functional Spaces for Smooth Nonsingular Vector Fields in the Plane ⋮ Partial Fourier series on compact Lie groups ⋮ Global Gevrey hypoellipticity on the torus for a class of systems of complex vector fields ⋮ Perturbations by lower order terms do not destroy the global hypoellipticity of certain systems of pseudodifferential operators defined on torus ⋮ Solvability for perturbations of a class of real vector fields on the two-torus ⋮ Global Gevrey solvability for a class of perturbations of involutive systems ⋮ Global hypoellipticity and global solvability for vector fields on compact Lie groups ⋮ Fourier analysis for Denjoy–Carleman classes on the torus ⋮ Global properties of vector fields on compact Lie groups in Komatsu classes
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