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

1999/06/30 by Andrei Sobolevskii
Mathematics · Physics and Astronomy · #chao-dyn #math.DS #nlin.CD

paper · pdf

published as Mat. Sbornik 190:10 (1999) 87-104; Eng. transl in Sbornik Mathematics 190:10 (1999) 1487-1504 · 12 pages, no figures; several typos corrected and the reference included

arxiv created 2001/02/09 · arxiv updated 2009/11/30

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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