Estimations along components for the \(\bar{\partial}\)-Neumann problem for some classes of pseudoconvex domains in \(\mathbb{C}^ n\).

DOI10.1007/BF02571512zbMath0749.32008MaRDI QIDQ1183072

Makhlouf Derridj

Publication date: 28 June 1992

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

Full work available at URL: https://eudml.org/doc/174303

zbMATH Keywords

pseudoconvex domains\(\overline\partial\)-Neumann problemsubelliptic estimatessemi-maximal estimates

Mathematics Subject Classification ID

(overlinepartial) and (overlinepartial)-Neumann operators (32W05) Pseudoconvex domains (32T99) (overlinepartial)-Neumann problems and formal complexes in context of PDEs (35N15)

Related Items (6)

Global analyticity for□^bon three dimensional pseudoconvex cr manifolds ⋮ Microlocal analyticity for \(\square_ b\) in block-decoupled pseudoconvex domains ⋮ Unnamed Item ⋮ Inégalités à priori et estimation sous-elliptique pour \(\bar\partial\) dans des ouverts non pseudoconvexes ⋮ \(L^p\) estimates for \(\overline\partial\)-equation on generalized complex ellipsoids ⋮ Hölder regularity for \(\square_b\) on hypersurfaces of \(\mathbb{C}^n\), with Levi form decomposable in blocks

Cites Work

• Necessary conditions for subellipticity of the \({\bar\partial}\)-Neumann problem
• Hypoellipticité maximale pour des opérateurs polynômes de champs de vecteurs. (Maximal hypoellipticity for polynomial operators of vector fields)
• Boundary invariants of pseudoconvex domains
• Global analytic hypoellipticity of the \({\bar \partial}\)-Neumann problem on circular domains
• Subelliptic estimates for the \({\bar \partial}\)-Neumann problem on pseudoconvex domains
• Régularité pour \(\overline\partial\) dans quelques domaines faiblement pseudo-convexes
• The local real analyticity of solutions to d'Alembert-Operator(b) and the (partial d)--Neumann problem
• Global analytic-hypoellipticity of the \(\overline\partial\)-Neumann problem
• Hypoelliptic differential operators and nilpotent groups
• Subellipticity of the \(\overline\partial\)-Neumann problem on pseudo- convex domains: sufficient conditions
• Hölder estimates on CR manifolds with a diagonalizable Levi form
• Subelliptic estimates for the \(\bar \partial\)-Neumann problem in C\(^2\)
• Pseudo-differential operators and non-elliptic boundary problems
• Linear differential systems with singularities and an application to transitive Lie algebras
• Hypoelliptic second order differential equations
• The D-Neumann problem
• Boundary behavior of \(\bar \partial\) on weakly pseudo-convex manifolds of dimension two
• L 2 Estimates for the Boundary Laplacian Operator on Hypersurfaces
• Hypoelliptic overdetermined systems of partial differential equation
• On the global real analyticity of solutions to the neumann problems
• Local analytic hypoellipticity for □ _b on nondegenerate Cauchy—Riemann manifolds
• PSEUDODIFFERENTIAL OPERATORS OF PRINCIPAL TYPE
• A geometric characterization of points of type m on real submanifolds of \(\mathbb{C}^n\)

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