Smooth approximation of bi-Lipschitz orientation-preserving homeomorphisms
Analysis of PDEs
2011-10-31 v2
Abstract
We show that a planar bi-Lipschitz orientation-preserving homeomorphism can be approximated in the norm, together with its inverse, with an orientation-preserving homeomorphism which is piecewise affine or smooth.
Cite
@article{arxiv.1106.1192,
title = {Smooth approximation of bi-Lipschitz orientation-preserving homeomorphisms},
author = {Sara Daneri and Aldo Pratelli},
journal= {arXiv preprint arXiv:1106.1192},
year = {2011}
}
Comments
28 pages, 4 figures