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SUMMARY:Xavier Ros-Oton (Universität Zürich)
DTSTART:20200416T140500Z
DTEND:20200416T145500Z
DTSTAMP:20260423T052326Z
UID:IMS/2
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/IMS/2/">Gene
 ric regularity of free boundaries for the obstacle problem</a>\nby Xavier 
 Ros-Oton (Universität Zürich) as part of PDE seminar via Zoom\n\n\nAbstr
 act\nThe obstacle problem is the most classical and motivating example in 
 the study of free boundary problems. A milestone in this context is the cl
 assical work of Caffarelli (Acta Math. 1977)\, in which he established for
  the first time the regularity of free boundaries in the obstacle problem\
 , outside a certain set of singular points. A long-standing open question 
 in the field asks to establish generic regularity results in this setting 
 (e.g. to prove that for ``almost every solution'' there are no singular po
 ints). The goal of this talk is to present some new results in this contex
 t\, proving in particular the generic regularity of free boundaries for th
 e obstacle problem in $\\R^3$. This is a joint work with A. Figalli and J.
  Serra.\n
LOCATION:https://researchseminars.org/talk/IMS/2/
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