## 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

#### Universidad Autónoma de Chiapas, México   -   This email address is being protected from spambots. You need JavaScript enabled to view it. document.getElementById('cloake515935375a36a3f75a791f5faaa5552').innerHTML = ''; var prefix = '&#109;a' + 'i&#108;' + '&#116;o'; var path = 'hr' + 'ef' + '='; var addye515935375a36a3f75a791f5faaa5552 = 'b&#111;r&#105;s.p&#101;rc&#105;n&#111;' + '&#64;'; addye515935375a36a3f75a791f5faaa5552 = addye515935375a36a3f75a791f5faaa5552 + '&#117;n&#97;ch' + '&#46;' + 'mx'; var addy_texte515935375a36a3f75a791f5faaa5552 = 'b&#111;r&#105;s.p&#101;rc&#105;n&#111;' + '&#64;' + '&#117;n&#97;ch' + '&#46;' + 'mx';document.getElementById('cloake515935375a36a3f75a791f5faaa5552').innerHTML += '<a ' + path + '\'' + prefix + ':' + addye515935375a36a3f75a791f5faaa5552 + '\'>'+addy_texte515935375a36a3f75a791f5faaa5552+'<\/a>';

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.