Convex defining functions for convex domains
Complex Variables
2012-04-04 v2 Functional Analysis
Abstract
We give three proofs of the fact that a smoothly bounded, convex domain in R^n has smooth defining functions whose Hessians are non-negative definite in a neighborhood of the boundary of the domain.
Keywords
Cite
@article{arxiv.0912.4653,
title = {Convex defining functions for convex domains},
author = {A. -K. Herbig and J. D. McNeal},
journal= {arXiv preprint arXiv:0912.4653},
year = {2012}
}
Comments
21 pages