4 papers · 1 filter
Approximation of an optimal control problem on a network with a perturbed problem in the whole space
Mohamed Camar-Eddine, Mériadec Chuberre, Mounir Haddou +1
A classical optimal control problem posed in the whole space R^2 is perturbed by a singular term of magnitude ^{-1} aimed at driving the trajectories to a prescribed network $Î…
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…
Comparison principle for general nonlocal Hamilton-Jacobi equations with superlinear gradient
Adina Ciomaga, Tri Minh Le, Olivier Ley +1
We obtain the comparison principle for discontinuous viscosity sub- and supersolutions of nonlocal Hamilton-Jacobi equations, with superlinear and coercive gradient terms. The nonl…