English

Dynamics of quasiconformal fields

Classical Analysis and ODEs 2011-02-18 v1 Dynamical Systems

Abstract

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

Keywords

Cite

@article{arxiv.0811.4217,
  title  = {Dynamics of quasiconformal fields},
  author = {Tadeusz Iwaniec and Leonid V. Kovalev and Jani Onninen},
  journal= {arXiv preprint arXiv:0811.4217},
  year   = {2011}
}

Comments

26 pages, 1 figure

R2 v1 2026-06-21T11:45:22.496Z