Translation invariance of weak KAM solutions of the Newtonian $N$-body problem

DOI10.1090/S0002-9939-2013-11542-XzbMath1383.37041arXiv1105.4484OpenAlexW2166724134MaRDI QIDQ2839365

Ezequiel Maderna

Publication date: 5 July 2013

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1105.4484

Mathematics Subject Classification ID

Hamilton-Jacobi equations in mechanics (70H20) Viscosity solutions to Hamilton-Jacobi equations in optimal control and differential games (49L25)

Related Items (4)

Free time minimizers for the three-body problem ⋮ Null angular momentum and weak KAM solutions of the Newtonian \(N\)-body problem ⋮ Minimizing configurations and Hamilton-Jacobi equations of homogeneous \(N\)-body problems ⋮ On the free time minimizers of the NewtonianN-body problem

Cites Work

• Unnamed Item
• On the existence of collisionless equivariant minimizers for the classical \(n\)-body problem
• On weak KAM theory for N-body problems
• Viscosity Solutions of Hamilton-Jacobi Equations
• Invariance of global solutions of the Hamilton-Jacobi equation
• On the free time minimizers of the NewtonianN-body problem

This page was built for publication: Translation invariance of weak KAM solutions of the Newtonian $N$-body problem