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UID:836672c86a74fed9adcd78e43c880c8d
CATEGORIES:Nonlinear Analysis
CREATED:20230109T094326
SUMMARY:Complete classification of global solutions to the obstacle problem
LOCATION:Hill Center Room 705
DESCRIPTION:<p><strong>Abstract:&nbsp;</strong>The characterization of global solutions
  to the obstacle problem in R^N, or equivalently of null quadrature domains
 , has been studied over more than 90 years. In this paper we give a conclus
 ive answer to this problem by proving the following long-standing conjectur
 e: The coincidence set of a global solution to the obstacle problem is eith
 er a half-space, an ellipsoid, a paraboloid, or a cylinder with an ellipsoi
 d or a paraboloid as base.</p><p><strong>Seminar website</strong>:&nbsp;<st
 rong><a href="https://sites.math.rutgers.edu/~yyli/NonlinearAnalysisSeminar
 .html">https://sites.math.rutgers.edu/~yyli/NonlinearAnalysisSeminar.html</
 a></strong></p>
CONTACT:Georg Weiss - University of Duisburg-Essen 
DTSTAMP:20260829T174210
DTSTART;TZID=America/New_York:20230110T134000
DTEND;TZID=America/New_York:20230110T144000
SEQUENCE:0
TRANSP:OPAQUE
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