Bibliographie
Bloom, T., Graham, I.: A geometric characterization of points of typem on real submanifolds of ℂn. J. Differ. Geom.12, 171–182 (1977)
Catlin, D.: Boundary invariants of pseudoconvex domains. Ann. Math.120, 529–586 (1984)
Catlin, D.: Subelliptic Estimates for the\(\bar \partial \)-Neumann problem on pseudoconvex domains. Ann. Math.126, 131–191 (1987)
Catlin, D.: Necessary conditions for subellipticity of the\(\bar \partial \)-Neumann problem. Ann. Math.117, 147–171 (1983)
Chen, S.C.: Global Analytic hypoellipticity of the\(\bar \partial \)-Neumann problem. Invent. Math.92, 175–185 (1988)
D'Angelo, J.: Finite type conditions for real hyper-surfaces. J. Differ. Geom.14, 59–66 (1979)
Derridj, M.: Domaines à estimation maximale. Prepublications Univ. Paris-Sud. no 90-40; Math. Z. (à paraître)
Derridj, M.: Régularité pour\(\bar \partial \) dans quelques domaines pseudoconvexes. J. Differ. Geom.13 (no4), 559–576 (1978)
Derridj, M.: Inégalités a priori et estimation sous-elliptique pour\(\bar \partial \)-Neumann dans des ouverts non pseudoconvexes. Math. Ann.249, 27–48 (1980)
Derridj, M., Tartakoff, D.: On the global real-analyticity for the\(\bar \partial \)-Neumann problem. Commun. Partial Differ. Equations5, 401–435 (1976)
Derridj, M., Tartakoff, D.: Real analyticity without maximal estimates. Summer school AMS. Santa-Cruz, Août 1989. (To appear)
Derridj, M.: Sur une classe d'opérateurs différentiels hypo-elliptiques à coefficients analytiques. Séminaire Goulaonic-Schwartz, exposé no 12. Ecole Polytechnique, janvier 1971
Egorov, Yu. V.: Pseudo-differential opeartors of principal type. Math. USSR, Sb.2, 319–333 (1967)
Fefferman, Ch., Kohn, J.J., Machedon, M.: Hölder estimates on C.R. manifolds with diagonalisable Levi form. (Preprint)
Greiner, P.: Subelliptic estimates for the\(\bar \partial \)-Neumann problem in ℂn. J Differ. Geom.9, 239–250 (1974)
Grigis, A., Rothchild, L.P.:L 2-estimates for the boundary Laplacian operator on hypersurfaces. Am. J. Math.110, 577–593 (1988)
Helffer, B., Nourrigat, J.: Hypoellipticité maximale pour des opérateurs polynomes de champs de récterus. (Prog. Math., vol. 58), Basel Boston Stuttgart: Birkhäuser 1985
Hörmander, L.: Pseudo-differential operators and hypoelliptic equations. (Proc. Symp. Pure Math., vol. 10, pp. 138–183) Providence, RI: Am. Math. Soc. 1966
Hörmander, L.: Pseudo-differential operators and non-elliptic boundary problems, Ann. Math.83, 129–209 (1966)
Hörmander, L.: Hypoelleptic second order differential Equations. Acta. Math.119, 147–171 (1967)
Kohn, J.J.: Boundary behavior of\(\bar \partial \) on wealky pseudoconvex manifolds of dimension 2. J. Differ. Geom.6, 523–542 (1972)
Kohn, J.J.: Subellipticity of the\(\bar \partial \)-Neumann problem on pseudoconvex domains: sufficient conditions. Acta Math.142, 79–122 (1979)
Komatsu, G.: Global Analytic hypoellipticity of the\(\bar \partial \)-Neumann problem. Tôhoku Math. J.28, 145–156 (1976)
Maire, H.M.: Hypoelliptic overdetermined systems of Partial Differential Equations. Commun. Partial Differ. Equations5(4), 331–380 (1980)
Maire, H.M.: Regularité optimale des solutions de systèmes différentiels et du Laplacien associé; application au □ b . Math. Ann.258, 53–63 (1981)
Nagano, T.: Linear differential systems with singularities and an application to transitive Lie algebras. J. Math. Soc. Japan18, 398–404 (1966)
Rothschild, L.P., Stein, E.: Hypoelliptic differential operators and nilpotent groups. Acta. Math.137, 248–315 (1977)
Sweeney, W.J.: The D-Neumann problem. Acta Math.120, 223–277 (1968)
Tartakoff, D.: On the local real analyticity for □ b on non degenerate Cauchy-Riemann manifolds. Proc. Natl. Acad. Sci. USA75, (no 7), 3027–3028 (1978)
Tartakoff, D.: On the local real Analyticity of solutions to ∂-Neumann and the δ-Neumann problem. Acta Math.145, 117–204 (1980)
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Derridj, M. Estimations par composantes pour le probleme ∂-Neumann pour quelques classes de domaines pseudoconvexes de ℂn . Math Z 208, 89–99 (1991). https://doi.org/10.1007/BF02571512
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DOI: https://doi.org/10.1007/BF02571512