Speaker
Georg Weiss
Abstract
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.