Hypoellipticité d'opérateurs à caractéristiques multiples

G. Métivier

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

  • page 1-13

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Métivier, G.. "Hypoellipticité d'opérateurs à caractéristiques multiples." Séminaire Équations aux dérivées partielles (Polytechnique) (1980-1981): 1-13. <http://eudml.org/doc/111778>.

@article{Métivier1980-1981,
author = {Métivier, G.},
journal = {Séminaire Équations aux dérivées partielles (Polytechnique)},
keywords = {classical analytic pseudo differential operator; analytic hypoellipticity; analytic wave front},
language = {fre},
pages = {1-13},
publisher = {Ecole Polytechnique, Centre de Mathématiques},
title = {Hypoellipticité d'opérateurs à caractéristiques multiples},
url = {http://eudml.org/doc/111778},
year = {1980-1981},
}

TY - JOUR
AU - Métivier, G.
TI - Hypoellipticité d'opérateurs à caractéristiques multiples
JO - Séminaire Équations aux dérivées partielles (Polytechnique)
PY - 1980-1981
PB - Ecole Polytechnique, Centre de Mathématiques
SP - 1
EP - 13
LA - fre
KW - classical analytic pseudo differential operator; analytic hypoellipticity; analytic wave front
UR - http://eudml.org/doc/111778
ER -

References

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  1. [1] K.G. Anderson: Propagation of analyticity of solutions of partial differential equations with constant coefficients; Ark. förMatematik, 8 (1970), p.277-302. Zbl0211.40502MR299938
  2. [2] M.S. Baouendi, C. Goulaouic: Non analytic hypoellipticity for some degenerate operators; Bull. Amer. Math. Soc., 78 (1972) p.483. Zbl0276.35023MR296507
  3. [3] L. Boutet De Monvel: Hypoelliptic operators with double characteristics and related pseudo-differential operators; Comm. on Pure and Appl. Math.27 (1974), p.585-639. Zbl0294.35020MR370271
  4. [4] L. Boutet De Monvel, A. Grigis, B. Helffer: Paramétrixes d'opérateurs pseudo différentiels à caractéristiques multiples; S.M.F. Astérisque34-35 (1976), p.93-121. Zbl0344.32009MR493005
  5. [5] L. Boutet De Monvel, F. Treves: On a class of systems of pseudo differential equations with double characteristics; Comm. on Pure and Appl. Math., 27 (1974), p. 59-89. Zbl0286.35065MR350232
  6. [6] A. Grigis: Hypoellipticité et paramétrix pour des opérateurs pseudo différentiels à caractéristiques doubles; S. M. F. Astérisque34-35 (1976), p.183-205. Zbl0344.35019MR488185
  7. [7] V.V. Gru: On a class of hypoelliptic operators; Mat. Sbornik83 (185) (1970), p.456-473; Math. U.S.S.R. Sb.12 (1970), p.458-476. Zbl0252.35057MR279436
  8. [8] L. Hörmander: A class of hypoelliptic pseudo-differential operators with double characteristics; Math. Ann., 217 (1975), p.165-188. Zbl0306.35032MR377603
  9. [9] G. Metivier: Une classe d'opérateurs non hypoellipticques analytiques; Indiana J. of Math. (à paraître). Zbl0455.35041
  10. [10] G. Metivier: Hypoellipticité analytique sur des groupes nilpotents de rang 2; Duke Math. J., 47 (1980), p.195-221. Zbl0433.35015MR563376
  11. [11] J. Sjöstrand: Parametrices for pseudo differential operators with multiple characteristics; Arkiv. förMat.12 (1974), p. 85-130. Zbl0317.35076MR352749
  12. [12] D.S. Tartakoff: The local real analyticity of solutions to □ b and the ∂-Neumann problem; Acta Math. (à paraître). Zbl0456.35019
  13. [13] F. Treves: Concatenation of second order evolution equations applied to local solvability and hypoellipticity; Comm. on Pure and Appl. Math., 26 (1973), p. 201-250. Zbl0266.35060MR340804
  14. [14] F. Treves: Analytic hypoellipticity of a class of pseudodifferential operators; Comm in PartialDiff. Eq.3 (1978), p. 475-642. Zbl0384.35055MR492802
  15. [15] F. Treves: Pseudo differential operators and Fourier integral operators; (Livre à paraître). 

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