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

Erlend Fornaess Wold; Filippo Bracci; Leandro Arosio

arxiv: 1207.2721 · v1 · pith:ZNR6RLDQnew · submitted 2012-07-11 · 🧮 math.CV · math.DS

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

Leandro Arosio , Filippo Bracci , Erlend Fornaess Wold This is my paper

classification 🧮 math.CV math.DS

keywords completedomainshyperbolicloewnerstarlikeadmitsboundedconvex

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

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