Weak solutions of the Hamilton-Jacobi equation for time periodic lagrangians

Gonzalo Contreras; Renato Iturriaga; Hector Sanchez-Morgado

Weak solutions of the Hamilton-Jacobi equation for time periodic lagrangians

Dynamical Systems 2013-07-02 v1

Authors: Gonzalo Contreras , Renato Iturriaga , Hector Sanchez-Morgado

Abstract

In this work we prove the existence of Fathi's weak KAM solutions for periodic Lagrangians and give a construction of all of them.

Keywords

hamilton-jacobi equation weak kam solutions periodic lagrangians fathi's theory dynamical systems

Cite

@article{arxiv.1307.0287,
  title  = {Weak solutions of the Hamilton-Jacobi equation for time periodic lagrangians},
  author = {Gonzalo Contreras and Renato Iturriaga and Hector Sanchez-Morgado},
  journal= {arXiv preprint arXiv:1307.0287},
  year   = {2013}
}