87 citations · 307 across the 25 of their papers we have counts for
29 papers
A convex function satisfying the Lojasiewicz inequality but failing the gradient conjecture both at zero and infinity
Aris Daniilidis, Mounir Haddou, Olivier Ley
We construct an example of a smooth convex function on the plane with a strict minimum at zero, which is real analytic except at zero, for which Thom's gradient conjecture fails bo…
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…
Explicit formulas for Glaeser-Whitney extensions of 1-fields in Hilbert spaces
Aris Daniilidis, Mounir Haddou, Erwan Le Gruyer +1
We give a simple alternative proof for the --convex extension problem which has been introduced and studied by D. Azagra and C. Mudarra [2]. As an application, we obtain a…