Homogenization of nonconvex viscous Hamilton-Jacobi equations in stationary ergodic media in one dimension

Elena Kosygina, Atilla Yilmaz

We establish homogenization for nondegenerate viscous Hamilton-Jacobi equations in one space dimension when the diffusion coefficient $a(x,\omega )>0$ and the Hamiltonian $H(p,x,\omega )$ ar…