Convergence to Time-Periodic Solutions in Time-Periodic Hamilton–Jacobi Equations on the Circle

Patrick Bernard (1) , Jean-Michel Roquejoffre (2)

1 IF - Institut Fourier
2 IMT - Institut de Mathématiques de Toulouse UMR5219

The goal of this paper is to give a simple proof of the convergence to time-periodic states of the solutions of time-periodic Hamilton–Jacobi equations on the circle with convex Hamiltonian. Note that the period of limiting solutions may be greater than the period of the Hamiltonian.

Domaines: Systèmes dynamiques [math.DS]

Patrick Bernard, Jean-Michel Roquejoffre. Convergence to Time-Periodic Solutions in Time-Periodic Hamilton–Jacobi Equations on the Circle. Communications in Partial Differential Equations, 2005, 29 (3-4), pp.457-469. ⟨10.1081/PDE-120030404⟩. ⟨hal-01251188⟩