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

By Leandro Arosio, Filippo Bracci, E. F. Wold. 2012

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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 $\C^N$.

Subfields: Applied Mathematics, Geometry and Topology

View Paper: https://www.semanticscholar.org/paper/10ee379c07c5ed383dccbf5c6aa0606c1e665635