Random homogenization of coercive Hamilton-Jacobi equations in 1d

Hongwei Gao

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arXiv · 1507.07048

Random homogenization of coercive Hamilton-Jacobi equations in 1d

Hongwei Gao

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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 $H(p,x,\omega)=H(p)+V(x,\omega)$ for any coercive $H(p)$.

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Hongwei Gao. 2015-07-25. Random homogenization of coercive Hamilton-Jacobi equations in 1d. https://arxiv.org/abs/1507.07048

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