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arXiv · 1411.4799

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

Sebastian Schleissinger
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Abstract

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

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Sebastian Schleissinger. 2014-11-18. On driving functions generating quasislits in the chordal Loewner-Kufarev equation. https://arxiv.org/abs/1411.4799

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