Lower bound for the geometric type from a generalized estimate in the \(\bar{\partial}\)-Neumann problem. A new approach by peak functions

DOI10.1307/MMJ/1395234365zbMath1421.32041arXiv1302.0791OpenAlexW2020012260MaRDI QIDQ2449629

Tran Vu Khanh

Publication date: 9 May 2014

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

Full work available at URL: https://arxiv.org/abs/1302.0791

zbMATH Keywords

pseudoconvex domains\(\overline\partial\)-Neumann problem

Mathematics Subject Classification ID

(overlinepartial) and (overlinepartial)-Neumann operators (32W05) Finite-type domains (32T25) (overlinepartial)-Neumann problems and formal complexes in context of PDEs (35N15) Peak functions (32T40)

Related Items (1)

Lower bounds on the Bergman metric near points of infinite type

Cites Work

• Necessary geometric and analytic conditions for general estimates in the \(\overline{\partial}\)-Neumann problem
• Regularity of the \(\bar {\partial }\)-Neumann problem at point of infinite type
• Necessary conditions for subellipticity of the \({\bar\partial}\)-Neumann problem
• Subelliptic estimates for the \({\bar \partial}\)-Neumann problem on pseudoconvex domains
• Real hypersurfaces, orders of contact, and applications
• Construction of p.s.h. functions on weakly pseudoconvex domains

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