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math.AP2023
Loss of quasiconvexity in the periodic homogenization of viscous Hamilton-Jacobi equations
Elena Kosygina, Atilla Yilmaz
We show that, in the periodic homogenization of uniformly elliptic Hamilton-Jacobi equations in any dimension, the effective Hamiltonian does not necessarily inherit the quasiconve…
math.AP2023
Stochastic homogenization of nonconvex viscous Hamilton-Jacobi equations in one space dimension
Andrea Davini, Elena Kosygina, Atilla Yilmaz
We prove homogenization for viscous Hamilton-Jacobi equations with a Hamiltonian of the form for a wide class of stationary ergodic random media in one space dimensio…