Exact solutions of Loewner equations
Exact solutions of Loewner equations
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DOI:
10.1007/s13324-020-00403-1
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发表时间:
2020
影响因子:
1.7
通讯作者:
Hai-Hua Wu
中科院分区:
文献类型:
--
作者:
Hai-Hua Wu
We consider the exact singular solution of chordal Loewner equation and investigate a sequence of vertical slits γ^p, where p = 4n + 1, n ∈ N. Our main result is to give an exact expression of the driving function λ, 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.