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math.AP2024★ 1 cited
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…
math.AP2024
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…
math.OC2024
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…