On periodic solutions of a Hamilton-Jacobi equation with periodic forcing
classification
chao-dyn
math.DSnlin.CD
keywords
periodicequationforcinghamilton-jacobisolutionsolutionsaubry-mathercondition
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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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