Affiliation:
1. School of Mathematics and Statistics, Changsha University of Science and Technology, Changsha, P.R. China
Abstract
We consider the chordal Loewner equation and construct a family of vertical
slits ?p (p > 0). We give the exact expression of its driving function ?,
and its H?lder exponent near 0 in terms of p, which maps onto (1/2,?) and
has a natural connection with the known results. In addition, we extend the
asymptotic behavior of the driving function ? to a general case.
Publisher
National Library of Serbia