A Note on Global Solvability of Vector Fields

DOI10.2307/2044952zbMath0559.58032OpenAlexW4253170874MaRDI QIDQ5185757

Jorge G. Hounie

Publication date: 1985

Full work available at URL: https://doi.org/10.2307/2044952

zbMATH Keywords

non-compact manifolds

Mathematics Subject Classification ID

Linear first-order PDEs (35F05) Partial differential equations on manifolds; differential operators (58J99)

Related Items (13)

Semi-global solvability with loss of one derivative of partial differential operators on surfaces ⋮ Solvability in the large for a class of vector fields on the torus ⋮ Solvability in the large and boundary value problems for Mizohata type operators ⋮ Solvability for perturbations of a class of real vector fields on the two-torus ⋮ On the solvability of linear differential operators on vector bundles over a manifold ⋮ Global solvability of real analytic complex vector fields in two variables ⋮ The Hartogs property for tube structures ⋮ A Rudin-Carleson theorem for planar vector fields ⋮ Nonexistence of global solutions for a class of complex vector fields on two-torus ⋮ Solvability in the large for a class of complex vector fields on the cylinder ⋮ Normalization and solvability of vector fields near trapped orbits ⋮ Global solvability for first order real linear partial differential operators ⋮ Global solvability and global hypoellipticity of complex vector fields on surfaces

Cites Work

• Existence et approximation des solutions des équations aux dérivées partielles et des équations de convolution
• First-order linear PDEs and uniqueness in the Cauchy problem
• Propagation of singularities and semi-global existence theorems for (pseudo-)differential operators of principal type
• Fourier integral operators. II
• Globally Hypoelliptic Vector Fields on Compact Surfaces
• Orbits of Families of Vector Fields and Integrability of Distributions
• Unnamed Item

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