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SUMMARY:Marvin Weidner (Universitat de Barcelona)
DTSTART:20230516T130000Z
DTEND:20230516T140000Z
DTSTAMP:20260419T105821Z
UID:NonLocalOperators/84
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/NonLocalOper
 ators/84/">The nonlocal Bernstein technique and the nonlocal obstacle prob
 lem</a>\nby Marvin Weidner (Universitat de Barcelona) as part of Non-local
  operators\, probability and singularities\n\n\nAbstract\nThe Bernstein te
 chnique is an elementary but powerful tool in the regularity theory for el
 liptic and parabolic equations. It is based on the insight that\, if deriv
 atives of a solution are also subsolutions to an equation\, then the maxim
 um principle can be used in order to obtain regularity estimates for these
  solutions.\nIn the first part of this talk\, we explain how the Bernstein
  technique can be extended to a large class of integro-differential equati
 ons driven by nonlocal operators that are comparable to the fractional Lap
 lacian. In the second part\, we discuss several applications of this techn
 ique to the regularity theory for the nonlocal obstacle problem in a bound
 ed domain.\nThis talk is based on a joint work with Xavier Ros-Oton and Da
 mià Torres-Latorre.\n
LOCATION:https://researchseminars.org/talk/NonLocalOperators/84/
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