Dynamics of Quasiconformal fields

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3 Scopus citations


A uniqueness theorem is established for autonomous systems of ODEs, 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.

Original languageEnglish (US)
Pages (from-to)185-212
Number of pages28
JournalJournal of Dynamics and Differential Equations
Issue number1
StatePublished - Mar 2011


  • Autonomous system
  • Monotonicity
  • Quasiconformal fields
  • Uniqueness of solutions

ASJC Scopus subject areas

  • Analysis


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