Abstract

A uniqueness theorem is established for autonomous systems of ODEs, $x\prime (t)\; =\; f\; (x(t))$, 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.

It is a joint recent work with Leonid V. Kovalev and Jani Onninen.