English

On driving functions generating quasislits in the chordal Loewner-Kufarev equation

Complex Variables 2014-11-19 v1

Abstract

We prove that for every C>0C>0 there exists a driving function U:[0,1]RU:[0,1]\to\mathbb{R} such that the corresponding chordal Loewner-Kufarev equation generates a quasislit and lim suph0U(1)U(1h)h=C. \limsup_{h\downarrow0}\frac{|U(1)-U(1-h)|}{\sqrt{h}}=C.

Keywords

Cite

@article{arxiv.1411.4799,
  title  = {On driving functions generating quasislits in the chordal Loewner-Kufarev equation},
  author = {Sebastian Schleissinger},
  journal= {arXiv preprint arXiv:1411.4799},
  year   = {2014}
}