Cycle Chacterization of the Aubry Set for Weakly Coupled Hamilton-Jacobi Systems

Abstract

We study a class of weakly coupled systems of Hamilton-acobi equations using the random frame introduced in a previous paper of Mitake-Siconolfi-Tran-Yamada. We provide a cycle condition characterizing the points of Aubry set. This generalizes a property already known in the scalar case.

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