Refine
Has Fulltext
- yes (1)
Is part of the Bibliography
- yes (1)
Year of publication
- 2015 (1) (remove)
Document Type
- Doctoral Thesis (1)
Language
- English (1)
Keywords
- Loewner-Theorie (1) (remove)
Institute
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.