370 citations · 951 across the 49 of their papers we have counts for
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Flux-limited and classical viscosity solutions for regional control problems
Guy Barles, Ariela Briani, Emmanuel Chasseigne +1
The aim of this paper is to compare two different approaches for regional control problems: the first one is the classical approach, using a standard notion of viscosity solutions,…
On unbounded solutions of ergodic problems in r^m for viscous hamilton-jacobi equations
Guy Barles, Joao Meireles
In this article we study ergodic problems in the whole space R m for viscous Hamilton-Jacobi Equations in the case of locally Lips-chitz continuous and coercive right-hand sides. W…
Value function for regional control problems via dynamic programming and Pontryagin maximum principle
Guy Barles, Ariela Briani, Emmanuel Trélat
In this paper we focus on regional deterministic optimal control problems, i.e., problems where the dynamics and the cost functional may be different in several regions of the stat…
Lipschitz regularity for integro-differential equations with coercive hamiltonians and application to large time behavior
Guy Barles, Olivier Ley, Erwin Topp
In this paper, we provide suitable adaptations of the "weak version of Bernstein method" introduced by the first author in 1991, in order to obtain Lipschitz regularity results and…