We present a simple, new proof for the stochastic homogenization of quasiconvex (level-set
convex) Hamilton–Jacobi equations set in stationary ergodic environments. Our approach …

We establish in this article spreading properties for the solutions of equations of the type∂
tu− a (x)∂ xx u− q (x)∂ xu= f (x, u), where a, q, f are only assumed to be uniformly …

In this paper, we prove the random homogenization of general coercive non-convex
Hamilton–Jacobi equations in the one dimensional case. This extends the result of …

We study the asymptotic behavior of the viscosity solutions u G λ of the Hamilton-Jacobi (HJ)
equation λ u (x)+ G (x, u′)= c (G) in R as the positive discount factor λ tends to 0, where G …

This paper is the first attempt to systematically study properties of the effective Hamiltonian
HH¯ arising in the periodic homogenization of some coercive but nonconvex Hamilton …

Stochastic homogenization of nonconvex Hamilton–Jacobi equations in one space dimension -
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In this article, we establish spreading properties for heterogeneous Fisher-KPP reaction-
diffusion equations for initial data with compact support, where the nonlinearity admits 0 as …

In this monograph, we review the theory and establish new and general results regarding
spreading properties for heterogeneous reaction-diffusion equations:\begin …

On the existence of correctors for the stochastic homogenization of viscous Hamilton–Jacobi
equations Page 1 CR Acad. Sci. Paris, Ser. I 355 (2017) 786–794 Contents lists available at …

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