4 papers · 1 filter
Stochastic homogenization of quasiconvex degenerate viscous HJ equations in 1d
Andrea Davini
We prove homogenization for degenerate viscous Hamilton-Jacobi equations in dimension one in stationary ergodic environments with a quasiconvex and superlinear Hamiltonian of fairl…
Stochastic homogenization of a class of quasiconvex and possibly degenerate viscous HJ equations in 1d
Andrea Davini
We prove homogenization for possibly degenerate viscous Hamilton-Jacobi equations with a Hamiltonian of the form , where is a quasiconvex, locally Lipschitz functi…
Discrete approximation of the viscous HJ equation
Andrea Davini, Hitoshi Ishii, Renato Iturriaga +1
We consider a stochastic discretization of the stationary viscous Hamilton Jacobi equation on the flat d dimensional torus, associated with a Hamiltonian, convex and superlinear in…
Convergence of the solutions of discounted Hamilton--Jacobi systems
Andrea Davini, Maxime Zavidovique
We consider a weakly coupled system of discounted Hamilton--Jacobi equations set on a closed Riemannian manifold. We prove that the corresponding solutions converge to a specific s…