Filtern
Volltext vorhanden
- ja (2)
Gehört zur Bibliographie
- ja (2)
Dokumenttyp
- Dissertation (2) (entfernen)
Sprache
- Englisch (2) (entfernen)
Schlagworte
- Loewner-Theorie (2) (entfernen)
Institut
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.