English

Smoothness of Loewner Slits

Complex Variables 2012-01-30 v1

Abstract

In this paper, we show that the chordal Loewner differential equation with CβC^{\beta} driving function generates a Cβ+1/2C^{\beta + 1/2} slit for 1/2<β21/2 < \beta \leq 2, except when β=3/2\beta = 3/2 the slit is only proved to be weakly C1,1C^{1,1}.

Cite

@article{arxiv.1201.5856,
  title  = {Smoothness of Loewner Slits},
  author = {Carto Wong},
  journal= {arXiv preprint arXiv:1201.5856},
  year   = {2012}
}

Comments

30 pages, 6 figures

R2 v1 2026-06-21T20:10:50.752Z