4 papers
Vanishing discount selection for constant-sign local perturbations of periodic Hamiltonians
Andrea Davini
We study the vanishing discount selection problem for critical Hamil\-ton--Jacobi equations posed on with Hamiltonian , where is continuous, periodic in…
The vanishing discount problem for nonlocal Hamilton-Jacobi equations
Andrea Davini, Hitoshi Ishii
We establish a convergence result for the vanishing discount problem in the context of nonlocal HJ equations. We consider a fairly general class of discounted first-order and conve…
Convergence/divergence phenomena in the vanishing discount limit of Hamilton-Jacobi equations
Andrea Davini, Panrui Ni, Jun Yan +1
We study the asymptotic behavior of solutions of an equation of the form \begin{equation}\label{abs}\tag{*} G\big(x, D_x u,λu(x)\big) = c_0\qquad\hbox{in } \end{equation} on a c…
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…