## View abstract

### Session S03 - Geometric and Variational Methods in Celestial Mechanics

Wednesday, July 14, 19:15 ~ 19:40 UTC-3

## Perspectives on the N-center problem and viscosity solutions

### Boris Asdrubal Percino Figueroa

In this talk we study the differentiability of the viscosity solutions of the Hamilton-Jacobi equiation asociated to the $N$-center problem, such solutions are not differentiable on the centers of the system, we prove the existence of a broader set of non differentiabilty. We also present some open questions regarding the Hamilton-Jacobi equation of the system.