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In this paper, we develop a method for solving a large class of non-convex Hamilton-Jacobi partial differential equations (HJ PDE). The method yields decoupled subproblems, which can be solved in an embarrassingly parallel fashion. The complexity of the resulting algorithm is polynomial in the problem dimension; hence, it overcomes the curse of dimensionality [1, 2] . We extend previous work in  and apply the Hopf formula to solve HJ PDE involving non-convex Hamiltonians. We propose an ADMMdoi:10.4310/amsa.2018.v3.n2.a1 fatcat:dbs4vqozsjgitkkn7kai4vahom