Dynamics of quasiconformal fields

Details Dynamics of quasiconformal fields Dynamics of quasiconformal fields

2008-11-26

arxiv.org/abs/0811.4217v1

J. Dynam. Differential Equations 23 (2011), no. 1, 185-212

Mathematics

Classical Analysis and ODEs

26 pages, 1 figure

Scientific paper

A uniqueness theorem is established for autonomous systems of ODEs,
$\dot{x}=f(x)$, where $f$ is a Sobolev vector field with additional geometric
structure, such as delta-monoticity or reduced quasiconformality. Specifically,
through every non-critical point of $f$ there passes a unique integral curve.

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