Global regularity of the \(\overline{\partial}\)-Neumann problem on circular domains

DOI10.1007/BF01442668zbMath0662.32016MaRDI QIDQ1113332

So-Chin Chen

Publication date: 1989

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

Full work available at URL: https://eudml.org/doc/164581

zbMATH Keywords

pseudoconvex circular domainglobal regularity of the \(\overline{\partial }\)-Neumann problemReinhardt pseudoconvex domain

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

Sobolev estimates for the \({\bar \partial}\)-Neumann operator on domains in \({\mathbb{C}}^ n\) admitting a defining function that is plurisubharmonic on the boundary ⋮ A counterexample to the differentiability of the Bergman kernel function ⋮ Boundary regularity of a canonical solution of the \(\bar\partial{}_ b\) problem ⋮ Regularity of the $\overline\partial$-Neumann Problem ⋮ Rigidity and regularity in group actions ⋮ A sufficient condition for global regularity of the \(\bar {\partial}\)-Neumann operator ⋮ Local existence theorems with estimates for \(\bar \partial_ b\) on weakly pseudo-convex CR manifolds ⋮ Small Sets of Infinite Type are Benign for the $\overline\partial$-Neumann Problem

Cites Work

• Necessary conditions for subellipticity of the \({\bar\partial}\)-Neumann problem
• Regularity of the Bergman projection on domains with partial transverse symmetries
• Global analytic hypoellipticity of the \({\bar \partial}\)-Neumann problem on circular domains
• Subelliptic estimates for the \({\bar \partial}\)-Neumann problem on pseudoconvex domains
• Real hypersurfaces, orders of contact, and applications
• Subellipticity of the \(\overline\partial\)-Neumann problem on pseudo- convex domains: sufficient conditions
• \(L^ 2\) estimates and existence theorems for the \(\partial\)-operator
• Harmonic integrals on strongly pseudo-convex manifolds. I
• Boundary behavior of \(\bar \partial\) on weakly pseudo-convex manifolds of dimension two
• Non‐coercive boundary value problems
• The Neumann Problem for the Cauchy-Riemann Complex. (AM-75)
• Unnamed Item
• Unnamed Item