Smoothness of Loewner Slits

Mathematics – Complex Variables

Scientific paper

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30 pages, 6 figures

Scientific paper

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

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