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Asymptotic Conformal Welding via Löwner-Kufarev Evolution

Asymptotic Conformal Welding via Löwner-Kufarev Evolution The Löwner-Kufarev evolution produces asymptotics for mappings onto domains close to the unit disk $$\mathbb{D }$$ or the exterior of $$\mathbb{D }$$ . We deduce variational formulae which lead to the asymptotic conformal welding for such domains. The comparison of mappings onto bounded and unbounded components of the Jordan curve establishes an asymptotic connection between driving functions in both versions of the Löwner-Kufarev equation and conformal radii of the two domains. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Computational Methods and Function Theory Springer Journals

Asymptotic Conformal Welding via Löwner-Kufarev Evolution

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References (14)

Publisher
Springer Journals
Copyright
Copyright © 2013 by Springer-Verlag Berlin Heidelberg
Subject
Mathematics; Analysis; Computational Mathematics and Numerical Analysis; Functions of a Complex Variable
ISSN
1617-9447
eISSN
2195-3724
DOI
10.1007/s40315-012-0002-y
Publisher site
See Article on Publisher Site

Abstract

The Löwner-Kufarev evolution produces asymptotics for mappings onto domains close to the unit disk $$\mathbb{D }$$ or the exterior of $$\mathbb{D }$$ . We deduce variational formulae which lead to the asymptotic conformal welding for such domains. The comparison of mappings onto bounded and unbounded components of the Jordan curve establishes an asymptotic connection between driving functions in both versions of the Löwner-Kufarev equation and conformal radii of the two domains.

Journal

Computational Methods and Function TheorySpringer Journals

Published: Jan 23, 2013

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