Explore: Lipschitz Condition

first derivative is Lipschitz continuous. In the theory of differential equations, Lipschitz continuity is the central condition of the Picard–Lindelöf

contributions to mathematical analysis (where he gave his name to the Lipschitz continuity condition) and differential geometry, as well as number theory, algebras

and satisfies the above local Lipschitz condition and let F : Ω → U {\displaystyle F:\Omega \to U} be some initial condition, meaning it is a measurable

function satisfies a Lipschitz condition. For any α > 0, the condition implies the function is uniformly continuous. The condition is named after Otto

describe a function that satisfies the Lipschitz condition, a strong form of continuity, named after Rudolf Lipschitz. The surname may refer to: Daniel Lipšic

Lipschitz quaternion (or Lipschitz integer; named after Rudolf Lipschitz) is a quaternion whose components are all integers. The set of all Lipschitz

d_{X}(b,c)} holds for any b , c ∈ X . {\displaystyle b,c\in X.} The Lipschitz condition occurs, for example, in the Picard–Lindelöf theorem concerning the

→ H 2 {\displaystyle f:U\rightarrow H_{2}} is a Lipschitz-continuous map, then there is a Lipschitz-continuous map F : H 1 → H 2 {\displaystyle F:H_{1}\rightarrow

Cauchy–Lipschitz theorem, or the existence and uniqueness theorem. The theorem is named after Émile Picard, Ernst Lindelöf, Rudolf Lipschitz and Augustin-Louis

periodicity. The class of Lipschitz groups (a.k.a. Clifford groups or Clifford–Lipschitz groups) was discovered by Rudolf Lipschitz. In this section we assume