Convergence to time-periodic solutions in Hamilton-Jacobi equations on the circle

Patrick Bernard; Jean-Michel Roquejoffre

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Convergence to time-periodic solutions in Hamilton-Jacobi equations on the circle

Patrick Bernard·Jean-Michel Roquejoffre

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Abstract

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 the limiting solutions may be greater than the period of the Hamiltonian.

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Patrick Bernard, Jean-Michel Roquejoffre. 2003-06-23. Convergence to time-periodic solutions in Hamilton-Jacobi equations on the circle. https://arxiv.org/abs/math/0303351

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