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math.DSJul 1, 2013
22
citations (OpenAlex)
authors
  • Gonzalo Contreras
  • Renato Iturriaga
  • Hector Sanchez-Morgado
arXiv abstractPDF
paper

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

arXiv:1307.0287

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.

Unpublished

Cited by in corpus (8)

  • Arnold diffusion in arbitrary degrees of freedom and normally hyperbolic invariant cylinders
  • A new kind of Lax-Oleinik type operator with parameters for time-periodic positive definite Lagrangian systems
  • Subsolutions of time-periodic Hamilton-Jacobi equations
  • The rate of convergence of new Lax-Oleinik type operators for time-periodic positive definite Lagrangian systems
  • Parameterized viscosity solutions of convex Hamiltonian systems with time periodic damping
  • Fast weak-KAM integrators for separable Hamiltonian systems
  • Global Behaviors of weak KAM Solutions for exact symplectic Twist Maps
  • Stochastic Time-Periodic Tonelli Lagrangian on Compact Manifold
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