Lind, Joan R. A sharp condition for the Loewner equation to generate slits. (English) Zbl 1069.30012 Ann. Acad. Sci. Fenn., Math. 30, No. 1, 143-158 (2005). Summary: D. Marshall and S. Rohde have recently shown that there exists \(C_0>0\) so that the Loewner equation generates slits whenever the driving term is Hölder continuous with exponent \(\frac 12\) and norm less than \(C_0\). In this paper, we show that the maximal value for \(C_0\) is 4. Cited in 34 Documents MSC: 30C35 General theory of conformal mappings PDFBibTeX XMLCite \textit{J. R. Lind}, Ann. Acad. Sci. Fenn., Math. 30, No. 1, 143--158 (2005; Zbl 1069.30012) Full Text: arXiv EuDML