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Boundary behaviour of Loewner Chains

2007/05/31 by Alexander Kuznetsov, Kuznetsov, Alexander
Computer Science · Mathematics · Physics and Astronomy · #30C35 #76D27 #Advanced Mathematical Modeling in Engineering #Analytic and geometric function theory #Complex Variables (math.CV) #Dynamical Systems (math.DS) #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Meromorphic and Entire Functions #math-ph #math.CV #math.DS #math.MP #msc:30C35 #msc:76D27

paper · pdf · doi:10.48550/arxiv.0705.4564

11 pages

arxiv created 2007/05/31 · openalex publication_date 2007/05/31 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In paper found conditions that guarantee that solution of Loewner-Kufarev equation maps unit disc onto domain with quasiconformal rectifiable boundary, or it has continuation on closed unit disc, or it's inverse function has continuation on closure of domain.

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