Random homogenization of coercive Hamilton-Jacobi equations in 1d

Abstract

In this paper, we will prove the random homogenization of general coercive non-convex Hamilton-Jacobi equations in one dimensional case. This extends the result of Armstrong, Tran and Yu when the Hamiltonian has a separable form H(p,x,ω)=H(p)+V(x,ω) for any coercive H(p).

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