Sharp Estimates for the ∂-Neumann Problem on Regular Coordinate Domains

2008/11/05 by David W. Catlin, Catlin, David W., Jae-Seong Cho +1
Mathematics · #32W05 #35N15 #Complex Variables (math.CV) #FOS: Mathematics #math.CV #msc:32W05 #msc:35N15

paper · pdf · doi:10.48550/arxiv.0811.0830

38 pages

arxiv created 2008/11/05 · arxiv updated 2009/12/01

Abstract

This paper treats subelliptic estimates for the ∂-Neumann problem on a class of domains known as regular coordinate domains. Our main result is that the largest subelliptic gain for a regular coordinate domain is bounded below by a purely algebraic number, the inverse of twice the multiplicity of the ideal associated to a given boundary point.

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