Propagation des singularités au bord d’ouverts de C n

A. Grigis

Séminaire Équations aux dérivées partielles (Polytechnique) (1979-1980)

  • page 1-10

How to cite

top

Grigis, A.. "Propagation des singularités au bord d’ouverts de $C^n$." Séminaire Équations aux dérivées partielles (Polytechnique) (1979-1980): 1-10. <http://eudml.org/doc/111749>.

@article{Grigis1979-1980,
author = {Grigis, A.},
journal = {Séminaire Équations aux dérivées partielles (Polytechnique)},
keywords = {propagation of singularities; Laplacian; Levi form; pseudo-differential operators; double characteristics},
language = {fre},
pages = {1-10},
publisher = {Ecole Polytechnique, Centre de Mathématiques},
title = {Propagation des singularités au bord d’ouverts de $C^n$},
url = {http://eudml.org/doc/111749},
year = {1979-1980},
}

TY - JOUR
AU - Grigis, A.
TI - Propagation des singularités au bord d’ouverts de $C^n$
JO - Séminaire Équations aux dérivées partielles (Polytechnique)
PY - 1979-1980
PB - Ecole Polytechnique, Centre de Mathématiques
SP - 1
EP - 10
LA - fre
KW - propagation of singularities; Laplacian; Levi form; pseudo-differential operators; double characteristics
UR - http://eudml.org/doc/111749
ER -

References

top
  1. [1] L. Boutet de Monvel: Hypoelliptic operators with double characteristics and related pseudodifferential operators, CPAM27 (1974), 585-639. Zbl0294.35020MR370271
  2. [2] L. Boutet de Monvel: Intégration des équations de Cauchy-Riemann induites formelles, Séminaire Goulaouic-Lions-Schwartz 1975, exposé n°9. Zbl0317.58003MR409893
  3. [3] L. Boutet de Monvel, A. Grigis, B.Helffer: Paramétrixes d'opérateurs pseudodifférentiels à caractéristiques multiples, Astérisque34-35 (1976) 93-121. Zbl0344.32009MR493005
  4. [4] D. Catlin: Boundary behaviour of holomorphic functions on weakly pseudoconvex domains, Thesis, Princeton Univ.1978. 
  5. [5] M. Derridj: Sur la régularité des solutions du problème de Neumann pour S dans quelques domaines faiblement pseudoconvexes, J. Diff. Geom. (à paraître). Zbl0435.35057
  6. [6] K. Diederich, P. Pflug: Necessary conditions for hypoellipticity of the ∂-problem, preprint. 
  7. [7] G.B. Folland, J.J. Kohn: The Neumann problem for the Cauchy-Riemann complex, Princeton University Press, 1972. Zbl0247.35093MR461588
  8. [8] M. Freemann: Local complex foliation of real submanifolds, Math. Annalen209 (1974) 1-30. Zbl0267.32006MR346185
  9. [9] P.C. Greiner, E.M. Stein: Estimates for the ∂-Neumann problem, Princeton University Press (1977). Zbl0354.35002
  10. [10] A. Grigis: Propagation des singularités pour des opérateurs pseudodifférentiels à caractéristiques doubles, Comm. in P.D.E.4-11 (1979) 1233-1262. Zbl0432.35082MR546643
  11. [11] L. Hörmander: L2 estimates and existence theorems for the ∂ operator, Acta Math.113 (1965) 89-152. Zbl0158.11002
  12. [12] L. Hörmander: Pseudodifferential operators and non-elliptic boundary problemsAnn. of Math.83 (1966), 129-209. Zbl0132.07402MR233064
  13. [13] J.J. Kohn: Subellipticity of the ∂-Neumann problem on pseudoconvex domains: Sufficient conditions, Acta Math.142 (1979), 79-121. Zbl0395.35069
  14. [14] N. Øvrelid: Estimées pour l'opérateur ∂, conférence à l'Université d'Alger (mai 1977). 
  15. [15] C. Rea: Levi-flat submanifolds and holomorphic extension of foliations, Ann. Scuola Norm. Sup. Pisa26 (1972) 664-681. Zbl0272.57013MR425158
  16. [16] J. Sjöstrand: Propagation of singularities for operators with multiple involutive characteristics, Ann. de l'Inst. Fourier, Grenoble26-1 (1978), 141-155. Zbl0313.58021MR425329
  17. [17] F. Sommer: Komplex-analytische Blätterung reeller Hyperflächen im Cn, Math. Ann.137 (1959), 392-411. Zbl0092.29903MR108821
  18. [18] D.S. Tartakoff: The local real analyticity of solutions to □ b and the ∂-Neumann problem, to appear. Zbl0456.35019
  19. [19] F. Trèves: Analytic hypoellipticity of a class of pseudodifferential operators with double characteristics and application to the ∂-Neumann problem, Comm. in P. D. E.3, 6 et 7 (1978), 475-642. Zbl0384.35055

NotesEmbed ?

top

You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.

    
                

                
Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.