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SUMMARY:Recent applications of the DiPerna-Lions theory - Alessio Figalli\
 , Austin
DTSTART:20141002T140000Z
DTEND:20141002T150000Z
UID:TALK54454@talks.cam.ac.uk
CONTACT:Andrew Aitchison
DESCRIPTION:At the beginning of the 1990?s\, DiPerna and Lions studied the
  connection between transport equations and ordinary differential equation
 s in detail. In particular\, by proving existence and uniqueness at the le
 vel of the transport equation\, they obtained (roughly speaking) existence
  and uniqueness of solutions for ODEs with Sobolev vector-fields for a.e. 
 initial condition. Ten years later\, Ambrosio has been able to extend this
  result to BV vector fields. In recent years\, several new extensions have
  been obtained\, that give rise to applications to PDEs which include the 
 linear Schrodinger equation and the Vlasov-Poisson equation. The aim of th
 is talk is to give an introductory overview of these results.\n
LOCATION:CMS\, MR13
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