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SUMMARY:Continuous Extension of Functionals over W^{1\,1} - Giles Shaw (CC
 A)
DTSTART:20131016T150000Z
DTEND:20131016T160000Z
UID:TALK46765@talks.cam.ac.uk
CONTACT:Marcus Webb
DESCRIPTION:In the Calculus of Variations\, the Direct Method is employed 
 to prove the existence of global minimisers for functionals defined on Sob
 olev Spaces W^{1\,p} for p>1. Due to a lack of reflexivity\, the situation
  for p=1 is much harder. In this talk\, I will start by giving a descripti
 on of the Direct Method as it is traditionally used and an explanation of 
 the problems encountered for the case p=1. I will then present recent resu
 lts explaining how these problems can be overcome\, obtained in collaborat
 ion with Filip Rindler.
LOCATION:MR14\, Centre for Mathematical Sciences
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