A Sharp Condition for the Loewner Equation to Generate Slits

Details A Sharp Condition for the Loewner Equation to Generate Slits A Sharp Condition for the Loewner Equation to Generate Slits

2003-11-14

arxiv.org/abs/math/0311234v1

Mathematics

Complex Variables

Scientific paper

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 H\"older
continuous with exponent 1/2 and norm less than $C_0$. In this paper, we show
that the maximal value for $C_0$ is 4.

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