Workshop: Complete classification of global solutions to the obstacle problem

Date: 2022-10-31

Time: 10:00 - 11:00

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Georg Weiss


The characterization of global solutions to the obstacle problem, or equivalently of null quadrature domains, has been studied over more than 90 years. 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.