On global hypoellipticity of vector fields
Journées équations aux dérivées partielles (1982), article no. 3, 8 p. 
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     title = {On global hypoellipticity of vector fields},
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     publisher = {Ecole polytechnique},
     year = {1982},
     mrnumber = {83k:35025},
     zbl = {0489.35032},
     language = {en},
     url = {http://archive.numdam.org/item/JEDP_1982____A3_0/}
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Hounie, Jorge. On global hypoellipticity of vector fields. Journées équations aux dérivées partielles (1982), article  no. 3, 8 p. http://archive.numdam.org/item/JEDP_1982____A3_0/

[1] J. Duistermaat and L. Hörmander, Fourier Integral Operators II. Acta Math. 128, 1972, 183-269. | MR | Zbl

[2] S. Greenfield and N. Wallach, Globally hypoelliptic vector fields, Topology, Vol. 12 (1973), 247-253. | MR | Zbl

[3] L. Hörmander, Pseudo-Differential operators of principal type, Singularities in Boundary Value Problems, NATO Advanced Study Institute Series (1981), 69-96. | Zbl

[4] J. Hounie, Minimal sets of families of vector fields on compact surfaces, Journal of Differential Geometry (to appear). | Zbl

[5] J. Hounie, Globally Hipoelliptic Vector Fields on compact surfaces, Comm. in P.D.E. (to appear). | Zbl

[6] J. Hounie, Global Cauchy problems modulo flat functions, Advances in Math. (to appear). | Zbl

[7] T. Nagano, Linear differential systems with singularities and an application to transitive Lie algebras, J. Math. Soc. Japan, 18, 4 (1966), 398-404. | MR | Zbl

[8] A. Schwartz, A generalization of the Poincare-Bendixon theorem to closed two-manifolds, Amer. J. Math. 85 (1963) 453-458. | MR | Zbl

[9] M. Strauss and F. Treves, First order linear pde's and uniqueness in the Cauchy problem, J. Diff. Equations, 15 (1974), 195-209. | MR | Zbl

[10] H. Sussmann, Orbits of families of vector fields and integrability of distributions, Trans. Amer. Math. Soc., 180 (1973), 171-188. | MR | Zbl

[11] F. Treves, Integral representation of solutions of first order linear partial differential equations I, Ann. Scu. Norm. Sup. Pisa (4)3 (1976), 1-35. | Numdam | MR | Zbl