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SUMMARY:Regularity of the Boltzmann Equation in Bounded Domains - Ariane T
 rescases\, ENS Cachan
DTSTART:20150629T140000Z
DTEND:20150629T150000Z
UID:TALK59350@talks.cam.ac.uk
CONTACT:Amit Einav
DESCRIPTION:n the case of a strictly convex domain\, the singularities hap
 pen specifically on the (grazing) boundary: in this case\, with the help o
 f a "kinetic" distance towards the grazing boundary\, we prove a result of
  Sobolev regularity for the solution. In the case of a non-convex domain\,
  the singular trajectories cross the domain and the singularity is therefo
 re more serious: in this case we obtain the BV regularity of the solution.
  These are optimal results for regularity.\nThis work is a joint work with
  Yan Guo\, Chanwoo Kim and Daniela Tonon.
LOCATION:CMS\, MR13
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