Weak solutions of the Hamilton-Jacobi equation for time periodic lagrangians
Gonzalo Contreras, Renato Iturriaga, Hector Sanchez-Morgado
TL;DR
This paper proves the existence of weak KAM solutions for periodic Lagrangians and provides a method to construct all such solutions, advancing the understanding of Hamilton-Jacobi equations in dynamical systems.
Contribution
It establishes the existence and construction of all weak KAM solutions for time periodic Lagrangians, a significant step in weak KAM theory.
Findings
Existence of weak KAM solutions for periodic Lagrangians
Construction method for all weak KAM solutions
Enhanced understanding of Hamilton-Jacobi equations in periodic settings
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.
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Taxonomy
TopicsQuantum chaos and dynamical systems · Nonlinear Waves and Solitons · Advanced Differential Equations and Dynamical Systems