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

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 ${\mathrm{limsup}}_{h\downarrow 0}\frac{|U(1)-U(1-h)|}{\sqrt{h}}=C.$

References in corpus (1)

• A Sharp Condition for the Loewner Equation to Generate Slits