Simon Eberle: On Newton's no gravity in the cavity theorem and global solutions of the obstacle problem
Tid: To 2023-03-23 kl 10.15 - 11.15
Plats: 3418, Lindstedtsvägen 25
Medverkande: Simon Eberle, Basque Center for Applied Mathematics
We will investigate an old problem posed by Isaac Newton on shapes that do not admit gravity in the cavity. We will see that it can be equivalently formulated as a question on the rigidity of global solutions of the obstacle problem, a question that recently has been answered in full generality. This is joint work with A. Figalli, H. Shahgholian and G. S. Weiss.