Boundary behaviour of Loewner Chains
Complex Variables
2007-06-01 v1 Mathematical Physics
Dynamical Systems
math.MP
Abstract
In paper found conditions that guarantee that solution of Loewner-Kufarev equation maps unit disc onto domain with quasiconformal rectifiable boundary, or it has continuation on closed unit disc, or it's inverse function has continuation on closure of domain.
Cite
@article{arxiv.0705.4564,
title = {Boundary behaviour of Loewner Chains},
author = {Alexander Kuznetsov},
journal= {arXiv preprint arXiv:0705.4564},
year = {2007}
}