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

Mathematics – Analysis of PDEs

Scientific paper

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Scientific paper

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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