On global hypoellipticity of vector fields

Jorge Hounie

Journées équations aux dérivées partielles (1982)

  • page 1-8
  • ISSN: 0752-0360

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Hounie, Jorge. "On global hypoellipticity of vector fields." Journées équations aux dérivées partielles (1982): 1-8. <http://eudml.org/doc/93080>.

@article{Hounie1982,
author = {Hounie, Jorge},
journal = {Journées équations aux dérivées partielles},
keywords = {global hypoellipticity; orientable compact manifold},
language = {eng},
pages = {1-8},
publisher = {Ecole polytechnique},
title = {On global hypoellipticity of vector fields},
url = {http://eudml.org/doc/93080},
year = {1982},
}

TY - JOUR
AU - Hounie, Jorge
TI - On global hypoellipticity of vector fields
JO - Journées équations aux dérivées partielles
PY - 1982
PB - Ecole polytechnique
SP - 1
EP - 8
LA - eng
KW - global hypoellipticity; orientable compact manifold
UR - http://eudml.org/doc/93080
ER -

References

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  1. [1] J. Duistermaat and L. Hörmander, Fourier Integral Operators II. Acta Math. 128, 1972, 183-269. Zbl0232.47055MR52 #9300
  2. [2] S. Greenfield and N. Wallach, Globally hypoelliptic vector fields, Topology, Vol. 12 (1973), 247-253. Zbl0268.58007MR47 #9039
  3. [3] L. Hörmander, Pseudo-Differential operators of principal type, Singularities in Boundary Value Problems, NATO Advanced Study Institute Series (1981), 69-96. Zbl0459.35096
  4. [4] J. Hounie, Minimal sets of families of vector fields on compact surfaces, Journal of Differential Geometry (to appear). Zbl0471.58019
  5. [5] J. Hounie, Globally Hipoelliptic Vector Fields on compact surfaces, Comm. in P.D.E. (to appear). Zbl0588.35064
  6. [6] J. Hounie, Global Cauchy problems modulo flat functions, Advances in Math. (to appear). Zbl0565.35019
  7. [7] T. Nagano, Linear differential systems with singularities and an application to transitive Lie algebras, J. Math. Soc. Japan, 18, 4 (1966), 398-404. Zbl0147.23502MR33 #8005
  8. [8] A. Schwartz, A generalization of the Poincare-Bendixon theorem to closed two-manifolds, Amer. J. Math. 85 (1963) 453-458. Zbl0116.06803MR27 #5003
  9. [9] M. Strauss and F. Treves, First order linear pde's and uniqueness in the Cauchy problem, J. Diff. Equations, 15 (1974), 195-209. Zbl0266.35009MR48 #9076
  10. [10] H. Sussmann, Orbits of families of vector fields and integrability of distributions, Trans. Amer. Math. Soc., 180 (1973), 171-188. Zbl0274.58002MR47 #9666
  11. [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. Zbl0317.35017MR53 #3478

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