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Simon Eberle: On Newton's no gravity in the cavity theorem and global solutions of the obstacle problem

Time: Thu 2023-03-23 10.15 - 11.15

Location: 3418, Lindstedtsvägen 25

Language: English

Participating: Simon Eberle, Basque Center for Applied Mathematics

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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.