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20102024
most citedThe vanishing discount problem and viscosity Mather measures. Part 1: the problem on a torus

48 citations · 152 across the 34 of their papers we have counts for

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math.AP2010

A PDE approach to large-time asymptotics for boundary-value problems for nonconvex Hamilton-Jacobi Equations

Guy Barles, Hiroyoshi Mitake

We investigate the large-time behavior of three types of initial-boundary value problems for Hamilton-Jacobi Equations with nonconvex Hamiltonians. We consider the Neumann or obliq…

math.AP2010

Short Time Uniqueness Results for Solutions of Nonlocal and Non-monotone Geometric Equations

Guy Barles, Olivier Ley, Hiroyoshi Mitake

We describe a method to show short time uniqueness results for viscosity solutions of general nonlocal and non-monotone second-order geometric equations arising in front propagatio…