113 citations · 281 across the 17 of their papers we have counts for
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Homogenization of viscous and non-viscous HJ equations: a remark and an application
Andrea Davini, Elena Kosygina
It was pointed out in [P.L. Lions, G. Papanicolaou, S. Varadhan, Homogenization of Hamilton-Jacobi equation, unpublished preprint (1987)] that, for first order Hamilton-Jacobi (HJ)…
Random Lax--Oleinik semigroups for Hamilton--Jacobi systems
Andrea Davini, Antonio Siconolfi, Maxime Zavidovique
Following the random approach of Mitake, Siconolfi,Tran and Yamada, we define a Lax--Oleinik formula adapted to evolutive weakly coupled systems of Hamilton--Jacobi equations. It i…
Existence and uniqueness of solutions to parabolic equations with superlinear Hamiltonians
Andrea Davini
We give a proof of existence and uniqueness of viscosity solutions to parabolic quasilinear equations for a fairly general class of nonconvex Hamiltonians with superlinear growth i…
Convergence of the solutions of the discounted equation: the discrete case
Andrea Davini, Albert Fathi, Renato Iturriaga +1
We derive a discrete version of the results of our previous work. If is a compact metric space, a continuous cost function and , the u…