×

Inégalités à priori et estimation sous-elliptique pour \(\bar\partial\) dans des ouverts non pseudoconvexes. (French) Zbl 0412.35070


MSC:

35N15 \(\overline\partial\)-Neumann problems and formal complexes in context of PDEs
35B45 A priori estimates in context of PDEs
32T99 Pseudoconvex domains

Citations:

Zbl 0395.35069
PDFBibTeX XMLCite
Full Text: DOI EuDML

References:

[1] Bloom, T., Graham, I.: A geometric characterization of points of type, im on real Hypersurfaces. J. Differential Geometry12, 171-182 (1977) · Zbl 0363.32013
[2] Derridj, M.: Estimations pour \(\bar \partial \) dans des domaines non pseudoconvexes. Ann. Inst. Fourier28, 239-254 (1978) · Zbl 0377.35057
[3] Derridj, M.: Régularité pour \(\bar \partial \) pour quelques domaines faiblement pseudoconvexes. J. Differential Geometry: à paraître · Zbl 0749.32008
[4] Derridj, M. Tartakoff, D.: Global real analyticity for the \(\bar \partial \) -Neumann problem. Comm. Partial Differential Equations1 · Zbl 0776.32017
[5] Diederich, K., Fornaess, J.E.: Pseudo convex domaines with real Analytic boundary. Ann. of Math.107, 371-384 (1978) · Zbl 0378.32014 · doi:10.2307/1971120
[6] Folland, G.B., Kohn, J.J.: The Neumann problem for the Cauchy-Riemann Complex. Ann. of Math. Studies. Princeton: University Press · Zbl 0247.35093
[7] Greiner, P.: Subbelliptic estimates for the \(\bar \partial \) Neumann problem in ?2. J. Differential Geometry9, 239-250 (1974) · Zbl 0284.35054
[8] Hörmander, L.:L 2 estimates and existence theorems of the \(\bar \partial \) -operator. Acta Math.113, 89-152 (1965) · Zbl 0158.11002 · doi:10.1007/BF02391775
[9] Hörmander, L.: Pseudo-differential operators and non-elliptic boundary problems. Ann. of Math.83, 129-209 (1966) · Zbl 0132.07402 · doi:10.2307/1970473
[10] Hörmander, L.: Pseudo differential operators and hypoelliptic equations. Amer. Math. Soc. Proc. Symp. Pure Math.10, 138-183 (1968)
[11] Kohn, J.J.: Boundary behavior of \(\bar \partial \) on weakly pseudo convex manifolds of dimension two. J. Differential Geometry6, 523-542 (1972) · Zbl 0256.35060
[12] Kohn, J.J.: Subellipticity on pseudo convex domains with isolated degeneracies: Proc. Nat. Ac. Sci.71, 2912-2914 (1974) · Zbl 0284.35055 · doi:10.1073/pnas.71.7.2912
[13] Kohn, J.J.: Sufficient conditions for subellipticity on weakly pseudoconvex domains. Proc. Nat. Ac. Sci.74, 2214-2216 (1977) · Zbl 0349.35011 · doi:10.1073/pnas.74.6.2214
[14] Sweeney, W.J.: The D. Neumann problem. Acta Math.120, 223-277 (1968) · Zbl 0159.38402 · doi:10.1007/BF02394611
[15] Tartakoff, D.: Local Analytic hypoellipticityf{\({}^o\)}f ? b on non degenerate Cauchy-Riemann manifolds. Proc. Nat. Ac. Sci.75, 3027-3028 (1978) · Zbl 0384.35020 · doi:10.1073/pnas.75.7.3027
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.