370 citations · 951 across the 49 of their papers we have counts for
5 papers · 2 filters
(Almost) Everything You Always Wanted to Know About Deterministic Control Problems in Stratified Domains
G. Barles, Emmanuel Chasseigne
We revisit the pioneering work of Bressan \& Hong on deterministic control problems in stratified domains, i.e. control problems for which the dynamic and the cost may have discont…
Lipschitz Regularity for Censored Subdiffusive Integro-Differential Equations with Superfractional Gradient Terms
Guy Barles, Erwin Topp
In this paper we are interested in integro-differential elliptic and parabolic equations involving nonlocal operators with order less than one, and a gradient term whose coercivity…
Homogenization Results for a Deterministic Multi-domains Periodic Control Problem
Guy Barles, Ariela Briani, Emmanuel Chasseigne +1
We consider homogenization problems in the framework of deterministic optimal control when the dynamics and running costs are completely different in two (or more) complementary do…
Existence, Uniqueness and Asymptotic Behavior for Nonlocal Parabolic Problems with Dominating Gradient Terms
Guy Barles, Erwin Topp
In this paper we deal with the well-posedness of Dirichlet problems associated to nonlocal Hamilton-Jacobi parabolic equations in a bounded, smooth domain , in the case when the…
Regularity Results and Large Time Behavior for Integro-Differential Equations with Coercive Hamiltonians
Guy Barles, Shigeaki Koike, Olivier Ley +1
In this paper we obtain regularity results for elliptic integro-differential equations driven by the stronger effect of coercive gradient terms. This feature allows us to construct…