BEGIN:VCALENDAR
VERSION:2.0
PRODID:-//Talks.cam//talks.cam.ac.uk//
X-WR-CALNAME:Talks.cam
BEGIN:VEVENT
SUMMARY:A nonlocal mean curvature flow arising in contour regularization -
  Antonin Chambolle (CMAP\, Ecole Polytechnique\, Paris)
DTSTART:20120313T150000Z
DTEND:20120313T160000Z
UID:TALK36869@talks.cam.ac.uk
CONTACT:Carola-Bibiane Schoenlieb
DESCRIPTION:We will address a geometric evolution\, corresponding to a cur
 vature which is non-local and singular at small scales. It corresponds to 
 the first variation of an  energy proposed in a recent work (Barchiesi\, K
 ang\, Le\, Morini\, Ponsiglione\, SIAM MMS 2010) as a variant of the stand
 ard perimeter  penalization for the denoising of nonsmooth curves.\n\nTo d
 eal with the degeneracies\, we first give an abstract existence and unique
 ness result for viscosity solutions of non-local degenerate Hamiltonians\,
  satisfying suitable continuity assumption with respect to Kuratowsky conv
 ergence of the level sets. This abstract setting applies to an approximate
 d flow. Then\, by the method of minimizing movements\, we also build an ``
 exact'' curvature flow. Recent advances towards a better understanding of 
 this flow will be mentioned. This is a joint work with M. Morini (Parma) a
 nd M. Ponsiglione (Roma I).
LOCATION:MR4\, CMS
END:VEVENT
END:VCALENDAR