Hypoellipticité pour l'opérateur \({\bar\partial}\). (Hypoellipticity of the \({\bar\partial}\)-operator)

DOI10.1007/BF01450742zbMath0589.32032OpenAlexW1986638708MaRDI QIDQ1073978

Nessim Sibony

Publication date: 1987

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/164197

zbMATH Keywords

pseudoconvex domainhypoelliptic \({\bar \partial }\)-operator

Mathematics Subject Classification ID

Numerical computation of solutions to systems of equations (65H10) (overlinepartial) and (overlinepartial)-Neumann operators (32W05) Differential complexes (58J10) Pseudoconvex domains (32T99) (overlinepartial)-Neumann problems and formal complexes in context of PDEs (35N15)

Related Items (2)

Analytic discs, plurisubharmonic hulls, and non-compactness of the \(\bar\partial\)-Neumann operator ⋮ Strong Stein neighbourhood bases

Cites Work

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• The local maximum modulus principle
• Spectre de \(A(\bar\Omega)\) pour des domaines bornes faiblement pseudoconvexes réguliers
• Boundary behavior of holomorphic functions on pseudoconvex domains
• Pseudoconvex domains: bounded strictly plurisubharmonic exhaustion functions
• Subellipticity of the \(\overline\partial\)-Neumann problem on pseudo- convex domains: sufficient conditions
• \(L^ 2\) estimates and existence theorems for the \(\partial\)-operator
• Global Regularity for $\overline \partial$ on Weakly Pseudo-Convex Manifolds
• The Neumann Problem for the Cauchy-Riemann Complex. (AM-75)

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