Calculus of Variations and Geometric Measure Theory

L. Ambrosio - J. MalĂ˝

Very weak notions of differentiability

created by ambrosio on 11 May 2005


Submitted Paper

Inserted: 11 may 2005

Year: 2005


In this paper we study a measure-theoretic notion of differentiability introduced in a paper by Le Bris and Lions, in connection with the differentiability properties of the flow associated to a Sobolev vector field. We characterize in various ways this differentiability property, showing through an example that it is strictly weaker than the classical approximate differentiability.