Abstract
We consider the exact singular solution of chordal Loewner equation and investigate a sequence of vertical slits \(\gamma ^p\), where \(p=4n+1\), \(n\in \mathbb {N}\). Our main result is to give an exact expression of the driving function \(\lambda \), and its Hölder exponent near 0 in terms of p, which lies in (1/2, 1] and has a natural connection with the known results.
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The research is supported in part by the NNSF of China (No. 11701166).
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Wu, HH. Exact solutions of Loewner equations. Anal.Math.Phys. 10, 59 (2020). https://doi.org/10.1007/s13324-020-00403-1
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DOI: https://doi.org/10.1007/s13324-020-00403-1