Global properties of a class of planar vector fields of infinite type

DOI10.1080/03605309708821257zbMath0882.35029OpenAlexW2053140585MaRDI QIDQ4349741

Abdelhamid Meziani, Shiferaw Berhanu

Publication date: 3 March 1998

Published in: Communications in Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03605309708821257

zbMATH Keywords

first integralintegrability and solvability questionsrotationally invariant vector fields

Mathematics Subject Classification ID

Linear first-order PDEs (35F05)

Related Items (13)

On the hypoellipticity of differential forms with isolated singularities ⋮ Gevrey semiglobal solvability for a class of elliptic vector fields with degeneracies ⋮ Global solvability of real analytic complex vector fields in two variables ⋮ \(C^k\)-solvability near the characteristic set for a class of planar complex vector fields of infinite type ⋮ On planar elliptic structures with infinite type degeneracy ⋮ The Riemann–Hilbert problem for elliptic vector fields with degeneracies ⋮ A Rudin-Carleson theorem for planar vector fields ⋮ Solvability near the characteristic set for a class of planar vector fields of infinite type. ⋮ 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 ⋮ Elliptic planar vector fields with degeneracies ⋮ Solvability in the large for a class of complex vector fields on the cylinder ⋮ Solvability near the characteristic set for a special class of complex vector fields

Cites Work

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• Global properties of a class of vector fields in the plane
• A property of the functions and distributions annihilated by a locally integrable system of complex vector fields
• On rotationally invariant vector fields in the plane
• The Mizohata Structure on the Sphere
• Local Integrability of Mizohata Structures
• Liouville's theorem and the maximum modulus principle for a system of complex vector fields
• Classification of germs of mizohata structures
• Involutive Structures on Compact Manifolds

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