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UID:news495@dmi.unibas.ch
DTSTAMP;TZID=Europe/Zurich:20181229T230505
DTSTART;TZID=Europe/Zurich:20131218T151500
SUMMARY:Seminar Analysis: Emil Wiedemann (University of British Columbia)
DESCRIPTION:Given a bounded domain and boundary data\, does there exist a  
 vector-valued map on this domain which is incompressible\, that is\, a map
   whose Jacobian determinant is one (almost) everywhere? In a regular  set
 ting\, this question has been essentially positively answered in a  famous
  paper by Dacorogna and Moser. I will present an analogous result  in Sobo
 lev spaces of low regularity\, which was recently achieved by a  convex in
 tegration method jointly with K. Koumatos (Oxford) and F.  Rindler (Warwic
 k). I will also comment on several generalisations and  applications.
X-ALT-DESC: \nGiven a bounded domain and boundary data\, does there exist a
   vector-valued map on this domain which is incompressible\, that is\, a m
 ap  whose Jacobian determinant is one (almost) everywhere? In a regular  s
 etting\, this question has been essentially positively answered in a  famo
 us paper by Dacorogna and Moser. I will present an analogous result  in So
 bolev spaces of low regularity\, which was recently achieved by a  convex 
 integration method jointly with K. Koumatos (Oxford) and F.  Rindler (Warw
 ick). I will also comment on several generalisations and  applications.
DTEND;TZID=Europe/Zurich:20131218T161500
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