41 citations · 85 across the 20 of their papers we have counts for
25 papers
Unbounded Hamilton-Jacobi-Bellman Equations with one co-dimensional discontinuities
Emmanuel Chasseigne, Robson Carlos Reis, Silvia Sastre-Gomez
The aim of this work is to deal with a discontinuous Hamilton-Jacobi equation in the whole euclidian N-dimensional space, associated to a possibly unbounded optimal control problem…
Some Comparison Results for First-Order Hamilton-Jacobi Equations and Second-Order Fully Nonlinear Parabolic Equations with Ventcell Boundary Conditions
Guy Barles, Emmanuel Chasseigne
In this article, we consider fully nonlinear, possibly degenerate, parabolic equations associated with Ventcell boundary conditions in bounded or unbounded, smooth domains. We firs…
Sharp estimates of the generalized principal eigenvalue for superlinear viscous Hamilton-Jacobi equations with inward drift
Emmanuel Chasseigne, Naoyuki Ichihara
This paper is concerned with the ergodic problem for viscous Hamilton-Jacobi equations having superlinear Hamiltonian, inward-pointing drift, and positive potential which vanishes…
An Illustrated Guide of the Modern Approaches of Hamilton-Jacobi Equations and Control Problems with Discontinuities
Guy Barles, Emmanuel Chasseigne
This version is the last version of our book project on Hamilton-Jacobi Equations and Control Problems with discontinuities. Compared to the third version (online in december 2022)…
On unbounded solutions of ergodic problems for non-local Hamilton-Jacobi equations
Cristina Brändle, Emmanuel Chasseigne
We study an ergodic problem associated to a non-local Hamilton-Jacobi equation defined on the whole space and determine whether (unbounded) sol…
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…