Session S03 - Geometric and Variational Methods in Celestial Mechanics
Wednesday, July 14, 18:45 ~ 19:10 UTC-3
Weak KAM theorem on the N-center problem
Eddaly Guerra Velasco
CONACyT-Universidad Autónoma de Chiapas., México - This email address is being protected from spambots. You need JavaScript enabled to view it.
In this talk we consider the Hamiltonian system defined by a particle, subordinated to a potential of attractive $N$-center type. We prove the existence of a variety of minimizing motions by studying the viscosity solutions of the Hamiton-Jacobi equation asociated to the system.