Subsolutions of time-periodic Hamilton-Jacobi equations

Mathematics – Dynamical Systems

Scientific paper

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To appear in Ergodic Theory and Dynamical Systems

Scientific paper

10.1017/S0143385707000089

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.

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