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SUMMARY:Xavier Ros-Oton (Universität Zürich)
DTSTART:20200416T140500Z
DTEND:20200416T145500Z
DTSTAMP:20260404T143404Z
UID:IMS/2
DESCRIPTION:Title: <a href="https://stable.researchseminars.org/talk/IMS/2
 /">Generic regularity of free boundaries for the obstacle problem</a>\nby 
 Xavier Ros-Oton (Universität Zürich) as part of PDE seminar via Zoom\n\n
 \nAbstract\nThe obstacle problem is the most classical and motivating exam
 ple in the study of free boundary problems. A milestone in this context is
  the classical work of Caffarelli (Acta Math. 1977)\, in which he establis
 hed for the first time the regularity of free boundaries in the obstacle p
 roblem\, outside a certain set of singular points. A long-standing open qu
 estion in the field asks to establish generic regularity results in this s
 etting (e.g. to prove that for ``almost every solution'' there are no sing
 ular points). The goal of this talk is to present some new results in this
  context\, proving in particular the generic regularity of free boundaries
  for the obstacle problem in $\\R^3$. This is a joint work with A. Figalli
  and J. Serra.\n
LOCATION:https://stable.researchseminars.org/talk/IMS/2/
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