Sur la résolubilité locale et l'intégrabilité locale de systèmes de champs vectoriels

F. Treves

Séminaire Équations aux dérivées partielles (Polytechnique) (1980-1981)

  • page 1-11

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Treves, F.. "Sur la résolubilité locale et l'intégrabilité locale de systèmes de champs vectoriels." Séminaire Équations aux dérivées partielles (Polytechnique) (1980-1981): 1-11. <http://eudml.org/doc/111782>.

@article{Treves1980-1981,
author = {Treves, F.},
journal = {Séminaire Équations aux dérivées partielles (Polytechnique)},
keywords = {real analytic vector fields; local solvability; system of vector fields; Frobenius condition},
language = {fre},
pages = {1-11},
publisher = {Ecole Polytechnique, Centre de Mathématiques},
title = {Sur la résolubilité locale et l'intégrabilité locale de systèmes de champs vectoriels},
url = {http://eudml.org/doc/111782},
year = {1980-1981},
}

TY - JOUR
AU - Treves, F.
TI - Sur la résolubilité locale et l'intégrabilité locale de systèmes de champs vectoriels
JO - Séminaire Équations aux dérivées partielles (Polytechnique)
PY - 1980-1981
PB - Ecole Polytechnique, Centre de Mathématiques
SP - 1
EP - 11
LA - fre
KW - real analytic vector fields; local solvability; system of vector fields; Frobenius condition
UR - http://eudml.org/doc/111782
ER -

References

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  1. [1] Baouendi, M.S. and Treves, F. - A local constancy principle for the solutions of certain overdetermined systems of first- order linear PDE, Advances in Math., vol. in honor of L. Schwartz, Academie PressNew York (1981). Zbl0475.35027MR634241
  2. [2] Grushin, V.V. - A certain example of a differential equation without solutions, Mat Zametki10 (1971), 125-128 (Engl. Transl. in Math. Notes10 (1971), 499-501). Zbl0223.35011MR285793
  3. [3] Hörmander, L. - Propagation of singularities and semiglobal existence theorems for (pseudo.) differential operators of principal type, Ann. Math.108 (1978), 569-609. Zbl0396.35087MR512434
  4. [4] Hörmander, L. - Pseudodifferential operators of principal type, Singularities in Boundary Value Problems, NATO Advanced Study Institute Series (1981), 69-96 Zbl0459.35096MR617227
  5. [5] Nirenberg, L.- Lectures on linear partial differential equations, Reg. Conf . series in Math., N°17, Amer. Math. Soc.1973. Zbl0267.35001MR450755
  6. [6] Nirenberg, L.- On a question of Hans Lewy, Uspehi (English translation), (1973), 251-262. Zbl0305.35017
  7. [7] Trèves, F.- Remarks about certain first-order linear PDE in two variables, Comm. PDE, 5 (4) (1980), 381-425. Zbl0523.35012MR567779
  8. [8] Trèves, F. - Approximation and representation of functions and distributions annihilated by a system of complex vector fields Publication du Centre de Mathématiques, Ecole Polytechnique (1981), Palaiseau, France. Zbl0515.58030MR716137

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