3 papers
math.AP2021
Limits and consistency of non-local and graph approximations to the Eikonal equation
Jalal Fadili, Nicolas Forcadel, Thi Tuyen Nguyen +1
In this paper, we study a non-local approximation of the time-dependent (local) Eikonal equation with Dirichlet-type boundary conditions, where the kernel in the non-local problem…
math.AP2017
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…
math.AP2017
A Priori Lipschitz Estimates for Solutions of Local and Nonlocal Hamilton-Jacobi Equations with Ornstein-Uhlenbeck Operator
Emmanuel Chasseigne, Olivier Ley, Thi-Tuyen Nguyen
We establish a priori Lipschitz estimates for unbounded solutions of second-order Hamilton-Jacobi equations in R^N in presence of an Ornstein-Uhlenbeck drift. We generalize the res…