370 citations · 951 across the 49 of their papers we have counts for
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Degenerate Elliptic PDEs on a Network with Kirchhoff Conditions
Guy Barles, Olivier Ley, Erwin Topp
In this article, we are interested in semilinear, possibly degenerate elliptic equations posed on a general network, with nonlinear Kirchhoff-type conditions for its interior verti…
Nonlocal Hamilton-Jacobi Equations on a network with Kirchhoff type conditions
Guy Barles, Olivier Ley, Erwin Topp
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 bound…
Some Comparison Results for First-Order Hamilton-Jacobi Equations and Second-Order Fully Nonlinear Parabolic Equations with Ventcell Boundary Conditions
Guy Barles, Emmanuel Chasseigne
In this article, we consider fully nonlinear, possibly degenerate, parabolic equations associated with Ventcell boundary conditions in bounded or unbounded, smooth domains. We firs…
Large-time behavior of unbounded solutions of viscous Hamilton-Jacobi Equations in
Guy Barles, Alexander Quaas, Andrei Rodríguez
We study the large-time behavior of bounded from below solutions of parabolic viscous Hamilton-Jacobi Equations in the whole space in the case of superquadratic Hami…
An Illustrated Guide of the Modern Approaches of Hamilton-Jacobi Equations and Control Problems with Discontinuities
Guy Barles, Emmanuel Chasseigne
This version is the last version of our book project on Hamilton-Jacobi Equations and Control Problems with discontinuities. Compared to the third version (online in december 2022)…
Large time behavior of unbounded solutions of first-order Hamilton-Jacobi equations in the whole space
Guy Barles, Olivier Ley, Thi-Tuyen Nguyen +1
We study the large time behavior of solutions of first-order convex Hamilton-Jacobi Equations of Eikonal type set in the whole space. We assume that the solutions may have arbitrar…