Application of Catlin's box construction to subellipticity of \(n-1\) forms

DOI10.1216/rmjm/1181071994zbMath0945.32025OpenAlexW1993844390MaRDI QIDQ1360205

Lop-Hing Ho

Publication date: 3 October 2000

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: http://math.la.asu.edu/~rmmc/rmj/VOL26-4/CONT26-4/CONT26-4.html

zbMATH Keywords

box methodsubelliptic estimates

Mathematics Subject Classification ID

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

Cites Work

• Necessary conditions for subellipticity of the \({\bar\partial}\)-Neumann problem
• Subelliptic estimates for the \({\bar \partial}\)-Neumann problem on pseudoconvex domains
• Estimates of invariant metrics on pseudoconvex domains of dimension two
• Real hypersurfaces, orders of contact, and applications
• Exact subelliptic estimates for \(n - 1\) forms
• Subellipticity of the \(\overline\partial\)-Neumann problem on pseudo- convex domains: sufficient conditions
• Inégalités à priori et estimation sous-elliptique pour \(\bar\partial\) dans des ouverts non pseudoconvexes
• Construction of p.s.h. functions on weakly pseudoconvex domains
• \(L^ 2\) estimates and existence theorems for the \(\partial\)-operator
• Subellipticity of the $\overline\partial$-Neumann Problem on Nonpseudoconvex Domains
• Subelliptic Estimates for the ∂   -Neumann Problem for n - 1 Forms
• The Neumann Problem for the Cauchy-Riemann Complex. (AM-75)