Subsolutions of time-periodic Hamilton-Jacobi equations

Abstract

We prove the existence of $C^1$ critical subsolutions of the Hamilton-Jacobi equation for a time-periodic Hamiltonian system. We draw a consequence for the Minimal Action functional of the system.

To appear in Ergodic Theory and Dynamical Systems

References in corpus (1)

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

Cited by in corpus (3)

• Vanishing viscosity limits for space-time periodic Hamiltonian-Jacobi-Bellman equations
• Stochastic Time-Periodic Tonelli Lagrangian on Compact Manifold
• Differentiability of Mather's beta function in low dimensions