Calculus of Variations and Geometric Measure Theory

A. Davini

Stochastic homogenization of quasiconvex degenerate viscous HJ equations in 1d

created by davini on 27 Mar 2024



Inserted: 27 mar 2024
Last Updated: 27 mar 2024

Year: 2023

ArXiv: 2402.17795 PDF


We prove homogenization for degenerate viscous Hamilton-Jacobi equations in dimension one in stationary ergodic environments with a quasiconvex and superlinear Hamiltonian of fairly general type. We furthermore show that the effective Hamiltonian is quasiconvex. This latter result is new even in the periodic setting, despite homogenization has been known for quite some time.