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math.DS2013★ 8 cited
Busseman functions for the N-body problem
Boris Percino, Héctor Sánchez Morgado
We prove that the Busemann function of the parabolic homotetic motion for a minimal central coniguration of the N-body problem is a viscosity solution of the Hamilton-Jacobi equati…
math.DS2013★ 22 cited
Weak solutions of the Hamilton-Jacobi equation for time periodic lagrangians
Gonzalo Contreras, Renato Iturriaga, Hector Sanchez-Morgado
In this work we prove the existence of Fathi's weak KAM solutions for periodic Lagrangians and give a construction of all of them.