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arXiv · 1207.2721

Solving the Loewner PDE in complete hyperbolic starlike domains of $\C^N$

Leandro Arosio·Filippo Bracci·Erlend Fornaess Wold
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Abstract

We prove that any Loewner PDE in a complete hyperbolic starlike domain of $\C^N$ (in particular in bounded convex domains) admits an essentially unique univalent solution with values in $\C^N$.

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Leandro Arosio, Filippo Bracci, Erlend Fornaess Wold. 2012-07-11. Solving the Loewner PDE in complete hyperbolic starlike domains of $\C^N$. https://arxiv.org/abs/1207.2721

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