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- W2962746915 abstract "We prove that any Loewner PDE on the unit ball $B^q$ whose driving term $h(z,t)$ vanishes at the origin and satisfies the bunching condition $ell m(Dh(0,t))geq k(Dh(0,t))$ for some $ellin mathbb{R}^+$, admits a solution given by univalent mappings $(f_tcolon B^qtoC^q)_{tgeq 0}$. This is done by discretizing time and considering the abstract basin of attraction. If $ell<2$, then the range $cup_{tgeq 0} f_t(B^q)$ of any such solution is biholomorphic to $C^q$." @default.
- W2962746915 created "2019-07-30" @default.
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- W2962746915 date "2012-08-01" @default.
- W2962746915 modified "2023-10-02" @default.
- W2962746915 title "Basins of attraction in Loewner equations" @default.
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- W2962746915 doi "https://doi.org/10.5186/aasfm.2012.3742" @default.
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