87 citations · 307 across the 25 of their papers we have counts for
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Some results for the large time behavior of Hamilton-Jacobi Equations with Caputo Time Derivative
Olivier Ley, Erwin Topp, Miguel Yangari
We obtain some Hölder regularity estimates for an Hamilton-Jacobi with fractional time derivative of order cast by a Caputo derivative. The Hölder seminorms are indepe…
Finite Horizon Mean Field Games on Networks
Yves Achdou, Manh-Khang Dao, Olivier Ley +1
We consider finite horizon stochastic mean field games in which the state space is a network. They are described by a system coupling a backward in time Hamilton-Jacobi-Bellman equ…
A Class of Infinite Horizon Mean Field Games on Networks
Yves Achdou, Manh-Khang Dao, Olivier Ley +1
We consider stochastic mean field games for which the state space is a network. In the ergodic case, they are described by a system coupling a Hamilton-Jacobi-Bellman equation and…
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…
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…
Lipschitz regularity results for nonlinear strictly elliptic equations and applications
Olivier Ley, Vinh Duc Nguyen
Most of lipschitz regularity results for nonlinear strictly elliptic equations are obtained for a suitable growth power of the nonlinearity with respect to the gradient variable (s…