113 citations · 281 across the 17 of their papers we have counts for
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math.AP2020
On the vanishing discount problem from the negative direction
Andrea Davini, Lin Wang
It has been proved in [10] that the unique viscosity solution of \begin{equation}\label{abs}\tag{*} λu_λ+H(x,d_x u_λ)=c(H)\qquad\hbox{in }, \end{equation} uniformly converges, f…
math.AP2020
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…
math.AP2020
Stochastic homogenization of a class of nonconvex viscous HJ equations in one space dimension
Andrea Davini, Elena Kosygina
We prove homogenization for a class of nonconvex (possibly degenerate) viscous Hamilton-Jacobi equations in stationary ergodic random environments in one space dimension. The resul…