Solving the Loewner PDE in complete hyperbolic starlike domains of $\C^N$
Complex Variables
2012-07-12 v1 Dynamical Systems
Abstract
We prove that any Loewner PDE in a complete hyperbolic starlike domain of (in particular in bounded convex domains) admits an essentially unique univalent solution with values in .
Keywords
Cite
@article{arxiv.1207.2721,
title = {Solving the Loewner PDE in complete hyperbolic starlike domains of $\C^N$},
author = {Leandro Arosio and Filippo Bracci and Erlend Fornaess Wold},
journal= {arXiv preprint arXiv:1207.2721},
year = {2012}
}
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8 pages