×

Sur l’hypoellipticité des opérateurs pseudodifférentiels à caractéristiques multiples (perte de 3/2 derivées). (French) Zbl 0374.35012


MSC:

35H10 Hypoelliptic equations
35S99 Pseudodifferential operators and other generalizations of partial differential operators
PDFBibTeX XMLCite
Full Text: Numdam EuDML

References:

[1] R. Beals . A General Calculus of pseudodifferential operators Duke Math . Journal Vol 42, n^\circ 1, ( 1975 ). Article | MR 51 #3972 | Zbl 0343.35078 · Zbl 0343.35078 · doi:10.1215/S0012-7094-75-04201-5
[2] L. Boutet de Monvel . F. Trèves : On a class of pseudodifferential operators with double characteristics . Inventiones math. 24, 1. 34 ( 1974 ). MR 50 #5550 | Zbl 0281.35083 · Zbl 0281.35083 · doi:10.1007/BF01418785
[3] L. Boutet de Monvel : Hypoelliptic operators with double characteristics and related pseudodifferential operators . Comm. pure. Appl. Math. 27, p 585-639 ( 1974 ). MR 51 #6498 | Zbl 0294.35020 · Zbl 0294.35020 · doi:10.1002/cpa.3160270502
[4] L. Boutet de Monvel . A. Grigis . B. Helffer (à paraître Astérisque) [5] Y.V. Egorov : Uspehi Tome 30, n^\circ 2 et 3 (182) ( 1975 ).
[5] A. Grigis : Hypoellipticité pour une classe d’opérateurs pseudo-differentiels à caractéristiques doubles et parametrixes associées (à paraître Astérisque). · Zbl 0313.35019
[6] V. V. Grusin : On a class of elliptic pseudodifferential operators degenerate on a submanifold . Mat. Sbornik Tom 84 (126) ( 1971 ) n^\circ 2, p 163-195, Math. USSR sb. 13 ( 1971 ) n^\circ 2, p 155-185. Zbl 0238.47038 · Zbl 0238.47038 · doi:10.1070/SM1971v013n02ABEH001033
[7] L. Hörmander : Pseudodifferential operators and hypoelliptic equations , Amer. Math. Soc. Symp. Pure Math., 10 ( 1966 ), p 138-183. Zbl 0167.09603 · Zbl 0167.09603
[8] L. Hörmander : A class of Hypoelliptic Pseudodifferential operators with double characteristics . Mathematishe Annalen. 217 n^\circ 2 1975 . MR 51 #13774 | Zbl 0306.35032 · Zbl 0306.35032 · doi:10.1007/BF01351297
[9] J. Sjöstrand : Parametrices for pseudodifferential operators with multiple characteristics . Ark. för Mat. 12, p 85-130. 1974 . MR 50 #5236 | Zbl 0317.35076 · Zbl 0317.35076 · doi:10.1007/BF02384749
[10] K. Taira : Hypoelliptic differential operators with double characteristics . Proc. Jap. Acad. 50 ( 1974 ) 124. MR 51 #13429 | Zbl 0309.35023 · Zbl 0309.35023 · doi:10.3792/pja/1195518830
[11] B. Helffer : Construction de parametrixes pour des opérateurs pseudodifferentiels caractéristiques sur la réunion de deux cônes lisses . Zbl 0332.35057 · Zbl 0332.35057
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.