Calculus of Variations and Geometric Measure Theory

A. Davini

Stochastic homogenization of nondegenerate viscous HJ equations in 1d

created by davini on 27 Mar 2024


Submitted Paper

Inserted: 27 mar 2024
Last Updated: 27 mar 2024

Year: 2024

The version of the paper herein posted is identical to the one submitted to the journal XXX for publication on the 26th of February, 2024. One of the crucial idea for the proof corresponds to Theorem 4.2. This theorem, together with its proof, already appeared, in essential identical form, in the ArXiv e-print arXiv:2306.12145 (posted on the 21st of June 2023), see Theorem 4.5 therein


We prove homogenization for a nondegenerate viscous Hamilton-Jacobi equation in dimension one in stationary ergodic environments with a superlinear (nonconvex) Hamiltonian of fairly general type.