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

2013/07/01 by Gonzalo Contreras, Renato Iturriaga, Contreras, Gonzalo +3 · 5 citations
Mathematics · Physics and Astronomy · #Advanced Differential Equations and Dynamical Systems #Dynamical Systems (math.DS) #FOS: Mathematics #Nonlinear Waves and Solitons #Quantum chaos and dynamical systems

paper · pdf · doi:10.48550/arxiv.1307.0287

openalex publication_date 2013/07/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

Citations

• Action minimizing invariant measures for positive definite Lagrangian systems

Cited by

• Periodic limit for non-autonomous Lagrangian systems and applications to a Kuramoto type model
• Stochastic Time-Periodic Tonelli Lagrangian on Compact Manifold
• Parameterized viscosity solutions of convex Hamiltonian systems with time periodic damping
• A multidimensional birkhoff theorem for time-dependent tonelli hamiltonians
• Global Behaviors of weak KAM Solutions for exact symplectic Twist Maps

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