Singular and tangent slit solutions to the Loewner equation

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dc.creatorProkhorov, Dmitri
dc.creatorVasil'ev, Alexander
dc.date2007-08-08
dc.date2008-06-23
dc.date.accessioned2026-07-07T09:45:44Z
dc.date.available2026-07-07T09:45:44Z
dc.descriptionWe consider the Loewner differential equation generating univalent maps of the unit disk (or of the upper half-plane) onto itself minus a single slit. We prove that the circular slits, tangent to the real axis are generated by Hölder continuous driving terms with exponent 1/3 in the Loewner equation. Singular solutions are described, and the critical value of the norm of driving terms generating quasisymmetric slits in the disk is obtained.
dc.description8 pages
dc.identifierhttps://arxiv.org/abs/0708.1048
dc.identifierhttp://arxiv.org/abs/0708.1048
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/163295
dc.subjectComplex Variables
dc.subject30C35, 30C20
dc.titleSingular and tangent slit solutions to the Loewner equation
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