---
tag: 0AW1E6YTJY
kind: concept
name: Lipschitz condition
aliases: [lipschitz-continuity]
msc: [26A16]
sources:
  - url: https://en.wikipedia.org/wiki/Lipschitz_continuity
    locator: lead section
same_as:
  wikidata: Q652707
  wikipedia: Lipschitz continuity
---

## Summary

A function satisfies a Lipschitz condition when the distance between two values is at most a constant times the distance between the two points.
This is a strong form of continuity. In the theory of differential equations, it gives uniqueness of solutions. See the [[definition|055VVSN00V]].

## Remarks

It is named after Rudolf Lipschitz.