Translation invariance of weak KAM solutions of the Newtonian n-body problem

  • Ezequiel Maderna May
  • Published 2011

Abstract

We consider the Hamilton-Jacobi equation H(x, dxu) = c, where c ≥ 0, of the classical N -body problem in some Euclidian space E of dimension at least two. The fixed points of the Lax-Oleinik semigroup are global viscosity solutions for the critical value of the constant (c = 0), also called weak KAM solutions. We show that all these solutions are invariant… (More)

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