Hypoellipticity of the $\bar\partial$-Neumann problem at exponentially degenerate points

Details Hypoellipticity of the $\bar\partial$-Neumann problem at exponentially degenerate points Hypoellipticity of the $\bar\partial$-Neumann problem at exponentially degenerate points

2010-04-06

arxiv.org/abs/1004.0919v2

Mathematics

Complex Variables

11 pages. Revision of arxiv 10040919v1, April 6 2010

Scientific paper

We prove that the $\bar\partial$-Neumann solution operator is locally regular
in a domain which has compactness estimates, is of finite type outside a curve
transversal to the CR directions and for which the holomorphic tangential
derivatives of a defining function are subelliptic multipliers in the sense of
Kohn.

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