18 citations · 25 across the 4 of their papers we have counts for
Showing math.APShow all
3 papers · 1 filter
math.AP2024
Stochastic Homogenization of HJ Equations: a Differential Game Approach
Andrea Davini, Raimundo Saona, Bruno Ziliotto
We prove stochastic homogenization for a class of non-convex and non-coercive first-order Hamilton-Jacobi equations in a finite-range-dependence environment for Hamiltonians that c…
math.AP2019
An example of failure of stochastic homogenization for viscous Hamilton-Jacobi equations without convexity
William M. Feldman, Jean-Baptiste Fermanian, Bruno Ziliotto
We give an example of the failure of homogenization for a viscous Hamilton-Jacobi equation with non-convex Hamiltonian.
math.AP2018★ 18 cited
Convergence of the solutions of the discounted Hamilton-Jacobi equation: a counterexample
Bruno Ziliotto
This paper provides a counterexample about the asymptotic behavior of the solutions of a discounted Hamilton-Jacobi equation, as the discount factor vanishes. The Hamiltonian of th…