English

A Sharp Condition for the Loewner Equation to Generate Slits

Complex Variables 2007-05-23 v1

Abstract

D. Marshall and S. Rohde have recently shown that there exists C0>0C_0 >0 so that the Loewner equation generates slits whenever the driving term is H\"older continuous with exponent 1/2 and norm less than C0C_0. In this paper, we show that the maximal value for C0C_0 is 4.

Cite

@article{arxiv.math/0311234,
  title  = {A Sharp Condition for the Loewner Equation to Generate Slits},
  author = {Joan R. Lind},
  journal= {arXiv preprint arXiv:math/0311234},
  year   = {2007}
}