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

DOI10.1007/BF01387078zbMath0412.35070MaRDI QIDQ1260287

Makhlouf Derridj

Publication date: 1980

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

Full work available at URL: https://eudml.org/doc/163388

zbMATH Keywords

a priori estimatesholomorphic dimensiondelta-Neumann problemnon pseudo-convex domainssubelliptic estimation

Mathematics Subject Classification ID

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

Related Items (3)

Application of Catlin's box construction to subellipticity of \(n-1\) forms ⋮ Percolation of estimates for \(\bar{\partial}\) by the method of alternating projections ⋮ Regularity at the boundary for \(\overline \partial\) on \(Q\)-pseudoconvex domains

Cites Work

• Estimations along components for the \(\bar{\partial}\)-Neumann problem for some classes of pseudoconvex domains in \(\mathbb{C}^ n\).
• Estimations pour \(\bar\partial\) dans des domaines non pseudo-convexes
• Pseudoconvex domains with real-analytic boundary
• Local analyticity for the \(\bar {\partial}\)-Neumann problem in completely decoupled pseudoconvex domains
• Subelliptic estimates for the \(\bar \partial\)-Neumann problem in C\(^2\)
• Pseudo-differential operators and non-elliptic boundary problems
• \(L^ 2\) estimates and existence theorems for the \(\partial\)-operator
• The D-Neumann problem
• Boundary behavior of \(\bar \partial\) on weakly pseudo-convex manifolds of dimension two
• Sufficient conditions for subellipticity on weakly pseudo-convex domains
• Local analytic hypoellipticity for □ _b on nondegenerate Cauchy—Riemann manifolds
• Subellipticity on Pseudo-Convex Domains with Isolated Degeneracies
• The Neumann Problem for the Cauchy-Riemann Complex. (AM-75)
• A geometric characterization of points of type m on real submanifolds of \(\mathbb{C}^n\)

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