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