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

  • Date: 21 March 2023, 10:15–11:15
  • Location: Ångström Laboratory, Å64119
  • Type: Seminar
  • Lecturer: Simon Eberle
  • Organiser: Matematiska institutionen
  • Contact person: Kaj Nyström

Welcome to this seminar held by Simon Eberle with the title "On Newton's no gravity in the cavity theorem and global solutions of the obstacle problem".

Abstract: 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.

This is a seminar in the PDEs and Applications seminar series

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