Hypoellipticity of the $\bar\partial$-Neumann problem at exponentially degenerate points
Complex Variables
2010-04-21 v2
Abstract
We prove that the -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.
Keywords
Cite
@article{arxiv.1004.0919,
title = {Hypoellipticity of the $\bar\partial$-Neumann problem at exponentially degenerate points},
author = {Tran Vu Khanh and Giuseppe Zampieri},
journal= {arXiv preprint arXiv:1004.0919},
year = {2010}
}
Comments
11 pages. Revision of arxiv 10040919v1, April 6 2010