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

Universidad Autónoma de Chiapas, México   -   This email address is being protected from spambots. You need JavaScript enabled to view it.

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.

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