Dear all,(adsbygoogle = window.adsbygoogle || []).push({});

If a differential equation is Lipschitz continuous, then the solution is unique. But what about the implication in the other direction? I know that uniqueness does not imply Lipschitz continuity. But is there a counterexample? A differential equation that is not L-continuous, still the solution is unique?

I would really like to know the answer to this question.

Thank you all for your help,

Hendrik

**Physics Forums | Science Articles, Homework Help, Discussion**

Dismiss Notice

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Lipschitz Continuity and Uniqueness

**Physics Forums | Science Articles, Homework Help, Discussion**