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Olivier Ley

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Open access Oct 2026

Nonlocal Hamilton–Jacobi Equations on a network with Kirchhoff type conditions

In this article, we consider nonlocal Hamilton–Jacobi Equations on networks with Kirchhoff type conditions for the interior vertices and Dirichlet boundary conditions for the boundary ones: we provide general existence and comparison results in the case when the nonlocal operator is an integro-differential operator o...

G. Barles, Olivier Ley, Erwin Topp · 0 citations
Preprint Sep 2026

Improved Regularity for Nonlocal Hamilton--Jacobi Equations with Superlinear Hamiltonians

We investigate the regularity of viscosity solutions to a class of nonlocal Hamilton-Jacobi equations driven by x-dependent integro-differential operators and coercive superlinear Hamiltonians. We first establish H{\"o}lder regularity for bounded viscosity solutions under general structural and continuity assumptions o...

A. Ciomaga, T. M. Lê, Olivier Ley et al. · 0 citations

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