# Dynamics of Quasiconformal Fields

Dynamics of Quasiconformal Fields 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-monotonicity or reduced quasiconformality. Specifically, through every non-critical point of f there passes a unique integral curve. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Journal of Dynamics and Differential Equations Springer Journals

# Dynamics of Quasiconformal Fields

Journal of Dynamics and Differential Equations, Volume 23 (1) – Dec 24, 2010
28 pages

/lp/springer-journals/dynamics-of-quasiconformal-fields-qJ30HGlKzI
Publisher
Springer Journals
Subject
Mathematics; Applications of Mathematics; Partial Differential Equations; Ordinary Differential Equations
ISSN
1040-7294
eISSN
1572-9222
D.O.I.
10.1007/s10884-010-9203-0
Publisher site
See Article on Publisher Site

### Abstract

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-monotonicity or reduced quasiconformality. Specifically, through every non-critical point of f there passes a unique integral curve.

### Journal

Journal of Dynamics and Differential EquationsSpringer Journals

Published: Dec 24, 2010

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