Calculus of Variations and Geometric Measure Theory

L. Ambrosio

The flow associated to weakly differentiable vector fields: recent results and open problems

created by ambrosio on 27 Oct 2009

[BibTeX]

Submitted Paper

Inserted: 27 oct 2009

Year: 2009

Abstract:

We illustrate some recent developments of the theory of flows associated to weakly differentiable vector fields, listing the regularitystructural conditions considered so far, extensions to state spaces more general than Euclidean and open problems.

Keywords: continuity equation, Transport equation, Flows


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