The Loewner differential equation and slit mappings

  • Marshall D
  • Rohde S
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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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Marshall, D., & Rohde, S. (2005). The Loewner differential equation and slit mappings. Journal of the American Mathematical Society, 18(4), 763–778. https://doi.org/10.1090/s0894-0347-05-00492-3

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