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

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

1999-06-23

arxiv.org/abs/chao-dyn/9906035v2

Mat. Sbornik 190:10 (1999) 87-104; Eng. transl in Sbornik Mathematics 190:10 (1999) 1487-1504

Mathematics

Dynamical Systems

12 pages, no figures; several typos corrected and the reference included

Scientific paper

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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