The Loewner differential equation and slit mappings

Marshall, Donald; Rohde, Steffen

doi:10.1090/S0894-0347-05-00492-3

The Loewner differential equation and slit mappings
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by Donald E. Marshall and Steffen Rohde

J. Amer. Math. Soc. 18 (2005), 763-778

DOI: https://doi.org/10.1090/S0894-0347-05-00492-3

Published electronically: June 10, 2005

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Abstract:

We show that the Loewner equation generates slits if the driving term is Hölder continuous with exponent 1/2 and small norm and that this is best possible.

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