We prove homogenization for degenerate viscous Hamilton-Jacobi equations in dimension
one in stationary ergodic environments with a quasiconvex and superlinear Hamiltonian of …

An example of failure of stochastic homogenization for viscous Hamilton-Jacobi equations
without convexity - ScienceDirect Skip to main contentSkip to article Elsevier logo Journals & …

We prove homogenization for a class of viscous Hamilton-Jacobi equations in the stationary
& ergodic setting in one space dimension. Our assumptions include most notably the …

In the present paper we study stochastic homogenization for reaction–diffusion equations
with stationary ergodic reactions (including periodic). We first show that under suitable …

We prove homogenization for degenerate viscous Hamilton–Jacobi equations in dimension
one in stationary ergodic environments with a quasiconvex and superlinear Hamiltonian of …

In this paper, we prove the stochastic homogenization of certain nonconvex Hamilton–
Jacobi equations. The nonconvex Hamiltonians, which are generally uneven and …

We prove homogenization for viscous Hamilton-Jacobi equations with a Hamiltonian of the
form G (p)+ V (x, ω) for a wide class of stationary ergodic random media in one space …

Abstract We consider Hamilton–Jacobi equations in one space dimension with Hamiltonians
of the form H (p, x, ω)= G (p)+ β V (x, ω), where V (·, ω) is a stationary and ergodic potential of …

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 …

We show that, in the periodic homogenization of uniformly elliptic Hamilton-Jacobi equations
in any dimension, the effective Hamiltonian does not necessarily inherit the quasiconvexity …