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SUMMARY:Semiconvexity estimates for integro-differential equations
DTSTART:20231121T085000Z
DTEND:20231121T095000Z
DTSTAMP:20240725T033200Z
UID:indico-event-10989@indico.math.cnrs.fr
DESCRIPTION:Speakers: Marvin Weidner\n\nThe Bernstein technique is an elem
entary but powerful tool in the regularity theory for elliptic and parabol
ic equations. It is based on the insight that\, if derivatives of a soluti
on are also subsolutions to an equation\, then the maximum principle can b
e used in order to obtain regularity estimates for these solutions. In th
e first part of this talk\, we explain how the Bernstein technique can be
extended to a large class of integro-differential equations driven by nonl
ocal operators that are comparable to the fractional Laplacian. In the sec
ond part\, we discuss several applications of this technique to the regula
rity theory for the nonlocal obstacle problem in a bounded domain\, and to
nonlocal Bellman-type equations. This talk is based on a joint work with
Xavier Ros-Oton and Clara Torres-Latorre. \n\nhttps://indico.math.cnrs.fr
/event/10989/
LOCATION:Amphi Schwartz (IMT)
URL:https://indico.math.cnrs.fr/event/10989/
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