Closedness of the range for vector fields on the torus
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Publication:1288866
DOI10.1006/jdeq.1998.3563zbMath0926.35030OpenAlexW2004111746MaRDI QIDQ1288866
Gerson Petronilho, Adalberto Panobianco Bergamasco
Publication date: 29 November 1999
Published in: Journal of Differential Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1006/jdeq.1998.3563
General theory of partial differential operators (47F05) Applications of dynamical systems (37N99) Linear first-order PDEs (35F05) General (adjoints, conjugates, products, inverses, domains, ranges, etc.) (47A05)
Related Items (12)
Global Solvability for a Class of Complex Vector Fields on the Two-Torus ⋮ Solvability for perturbations of a class of real vector fields on the two-torus ⋮ \(C^k\)-solvability near the characteristic set for a class of planar complex vector fields of infinite type ⋮ Global \(s\)-solvability and global \(s\)-hypoellipticity for certain perturbations of zero order of systems of constant real vector fields ⋮ On certain non-hypoelliptic vector fields with finite-codimensional range on the three-torus ⋮ Global hypoellipticity for a class of pseudo-differential operators on the torus ⋮ Global regularity and solvability of left-invariant differential systems on compact Lie groups ⋮ Existence of global solutions for a class of vector fields on the three-dimensional torus ⋮ Existence and regularity of periodic solutions for a class of partial differential operators ⋮ Gevrey solvability near the characteristic set for a class of planar complex vector fields of infinite type ⋮ Nonexistence of global solutions for a class of complex vector fields on two-torus ⋮ Solvability near the characteristic set for a special class of complex vector fields
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