Seminars & Colloquia Calendar
Complete classification of global solutions to the obstacle problem
Georg Weiss - University of Duisburg-Essen
Location: Hill Center Room 705
Date & time: Tuesday, 10 January 2023 at 1:40PM - 2:40PM
Abstract: 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 conclusive answer to this problem by proving the following long-standing conjecture: The coincidence set of a global solution to the obstacle problem is either a half-space, an ellipsoid, a paraboloid, or a cylinder with an ellipsoid or a paraboloid as base.
Seminar website: https://sites.math.rutgers.edu/~yyli/NonlinearAnalysisSeminar.html