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

References in corpus (3)

• Large time average of reachable sets and Applications to Homogenization of interfaces moving with oscillatory spatio-temporal velocity
• Stochastic homogenization of a nonconvex Hamilton-Jacobi equation
• Stochastic homogenization of nonconvex Hamilton-Jacobi equations in one space dimension

Cited by in corpus (1)

• Strain Induced Slowdown of Front Propagation in Random Shear Flow via Analysis of G-equations