4 papers
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…
Solving Nonlinear Absolute Value Equations
Aris Daniilidis, Mounir Haddou, Tri Minh Le +2
In this work, we show that several problems naturally represented as Nonlinear Absolute Value Equations (NAVE) can be reformulated as Nonlinear Complementarity Problems (NCP) and e…
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…