Subelliptic estimates for the \(\overline\partial\)-Neumann operator on piecewise smooth strictly pseudoconvex domains

DOI10.1215/S0012-7094-98-09304-8zbMath0953.32027MaRDI QIDQ1974818

Joachim Michel, Mei-Chi Shaw

Publication date: 27 March 2000

Published in: Duke Mathematical Journal (Search for Journal in Brave)

zbMATH Keywords

subelliptic estimates\(\overline \partial \)-Neumann operatorpiecewise smooth strictly pseudoconvex domains

Mathematics Subject Classification ID

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

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Cites Work

• Sobolev estimates for the \({\bar \partial}\)-Neumann operator on domains in \({\mathbb{C}}^ n\) admitting a defining function that is plurisubharmonic on the boundary
• Subelliptic estimates for the \({\bar \partial}\)-Neumann problem on pseudoconvex domains
• Local existence theorems with estimates for \(\bar \partial_ b\) on weakly pseudo-convex CR manifolds
• Behavior of the Bergman projection on the Diederich-Fornæss worm
• Subellipticity of the \(\overline\partial\)-Neumann problem on pseudo- convex domains: sufficient conditions
• Compactness of the Neumann operator for hyperconvex domains with non-smooth \(B\)-regular boundary
• The inhomogeneous Dirichlet problem in Lipschitz domains
• \(L^ 2\) estimates and existence theorems for the \(\partial\)-operator
• Harmonic integrals on strongly pseudo-convex manifolds. I
• Uniform estimates for the \(\bar\partial\)-equation on domains with piecewise smooth strictly pseudoconvex boundaries
• Non‐coercive boundary value problems
• Global 𝐶^{∞} irregularity of the ∂̄-Neumann problem for worm domains
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