scientific article; zbMATH DE number 2227213

zbMath1108.35027MaRDI QIDQ5705578

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Publication date: 9 November 2005

Full work available at URL: https://eudml.org/doc/32121

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zbMATH Keywords

Sobolev spaceextension operatorNeumann operatorstrongly pseudoconvex set

Mathematics Subject Classification ID

(overlinepartial) and (overlinepartial)-Neumann operators (32W05) Boundary value problems for linear first-order PDEs (35F15)

Cites Work

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• Equivalence of regularity for the Bergman projection and the \({\bar \partial}\)-Neumann operator
• Sobolev estimates for the \({\bar \partial}\)-Neumann operator on domains in \({\mathbb{C}}^ n\) admitting a defining function that is plurisubharmonic on the boundary
• Local existence theorems with estimates for \(\bar \partial_ b\) on weakly pseudo-convex CR manifolds
• Subellipticity of the \(\overline\partial\)-Neumann problem on pseudo- convex domains: sufficient conditions
• Plurisubharmonic functions and subellipticity of the \(\bar\partial\)-Neumann problem on non-smooth domains
• Solution of the \(\overline\partial\)-Neumann problem on a bi-disc
• The \(\overline\partial\)-Neumann operator on Lipschitz pseudoconvex domains with plurisubharmonic defining functions
• Analysis of the \(\overline\partial\)-Neumann problem along a straight edge
• Subelliptic estimates for the \(\overline\partial\)-Neumann operator on piecewise smooth strictly pseudoconvex domains
• \(L^ 2\) estimates and existence theorems for the \(\partial\)-operator
• Harmonic integrals on strongly pseudo-convex manifolds. I
• Global Regularity for $\overline \partial$ on Weakly Pseudo-Convex Manifolds
• Solution of the Neumann problem on a non-smooth domain
• Pseudolocal estimates for bar partial on general pseudoconvex domains
• The Neumann Problem for the Cauchy-Riemann Complex. (AM-75)