@phdthesis{Boehm2015,
  author    = {B{\"o}hm, Christoph},
  title     = {Loewner equations in multiply connected domains},
  url       = {http://nbn-resolving.de/urn:nbn:de:bvb:20-opus-129903},
  school      = {Universit{\"a}t W{\"u}rzburg},
  year      = {2015},
  abstract  = {The first goal of this thesis is to generalize Loewner's famous differential equation to multiply connected domains. The resulting differential equations are known as Komatu--Loewner differential equations. We discuss Komatu--Loewner equations for canonical domains (circular slit disks, circular slit annuli and parallel slit half-planes). Additionally, we give a generalisation to several slits and discuss parametrisations that lead to constant coefficients. Moreover, we compare Komatu--Loewner equations with several slits to single slit Loewner equations. Finally we generalise Komatu--Loewner equations to hulls satisfying a local growth property.},
  subject      = {Biholomorphe Abbildung},
  language  = {en}
}