On periodic solutions of a Hamilton-Jacobi equation with periodic forcing

Andrei Sobolevskii

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arXiv · chao-dyn/9906035

On periodic solutions of a Hamilton-Jacobi equation with periodic forcing

Andrei Sobolevskii

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Abstract

We prove that a Hamilton-Jacobi equation in 1D with periodic forcing has a set of generalized solutions such that each solution is a sum of linear and continuous periodic functions; we also give a condition of uniqueness of this solution in terms of Aubry-Mather theory.

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Andrei Sobolevskii. 2001-02-09. On periodic solutions of a Hamilton-Jacobi equation with periodic forcing. https://arxiv.org/abs/chao-dyn/9906035

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