Calculus of Variations and Geometric Measure Theory

Flows generated by measurable vector fields

Eugene Stepanov (St. Petersburg Branch of the Steklov Research Institute of Mathematics of the Russian Academy of Sciences)

created by dicastro on 14 Oct 2013

23 oct 2013 -- 17:00   [open in google calendar]

Aula seminari - Department of Mathematics, University of Pisa


It is well-known that smooth vector fields produce flows of measures satisfying the continuity equation. The flow is produced along integral curves of the respective ODE. We will try to find out what can be said in the case of just measurable vector fields, when the respective ODE might have highly discontinuous right-hand side. Namely, we will make an attempt to establish to what extent can one say that a measurable vector field produces flows of measures and what are the properties of these flows.