Random homogenization of coercive Hamilton-Jacobi equations in 1d

2015/07/25 by Hong-Wei Gao, Gao, Hongwei · 1 citation
Computer Science · Mathematics · Engineering · #Advanced Mathematical Modeling in Engineering #Nonlinear Partial Differential Equations #Advanced Numerical Methods in Computational Mathematics

paper · pdf · doi:10.48550/arxiv.1507.07048

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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• Stochastic Homogenization of the Hamilton-Jacobi Equation on Manifolds

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