Good Stein neighborhood bases and regularity of the $\overline\partial$-Neumann problem
Straube, Emil J.
Illinois J. Math., Tome 45 (2001) no. 4, p. 865-871 / Harvested from Project Euclid
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We show that the $\bar\partial$-Neumann problem is globally regular on a smooth bounded pseudoconvex domain in $\mathbb{C}^{n}$ whose closure admits a sufficiently nice Stein neighborhood basis. We also discuss (what turns out to be) a generalization: global regularity holds as soon as the weakly pseudoconvex directions at boundary points are limits, from inside, of weakly pseudoconvex directions of level sets of the boundary distance.
Publié le : 2001-07-15
Classification:  32W05,  32T99,  35N15 
@article{1258138156,
     author = {Straube, Emil J.},
     title = {Good Stein neighborhood bases and regularity of the $\overline\partial$-Neumann problem},
     journal = {Illinois J. Math.},
     volume = {45},
     number = {4},
     year = {2001},
     pages = { 865-871},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1258138156}
}

Straube, Emil J. Good Stein neighborhood bases and regularity of the $\overline\partial$-Neumann problem. Illinois J. Math., Tome 45 (2001) no. 4, pp.  865-871. http://gdmltest.u-ga.fr/item/1258138156/