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Asymptotic Behaviour of the Conformal Representation of a Jordan Domain with a Small Hole in Schauder Spaces

✍ Scribed by Massimo Lanza de Cristoforis


Book ID
120888851
Publisher
Springer-Verlag
Year
2003
Tongue
English
Weight
322 KB
Volume
2
Category
Article
ISSN
1617-9447

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Analyticity of a Nonlinear Operator Asso
✍ Massimo Lanza de Cristoforis; Sergei V. Rogosin πŸ“‚ Article πŸ“… 2000 πŸ› John Wiley and Sons 🌐 English βš– 279 KB πŸ‘ 2 views

We consider the Riemann map g ΞΆ,w of the complex unit disk to the plane domain I[ΞΆ] enclosed by the Jordan curve ΞΆ and normalized by the conditions g ΞΆ,w (0) = w, g ΞΆ,w (0) > 0, where w is a point of I[ΞΆ], and we present a nonlinear singular integral equation approach to prove that the nonlinear ope