Aller au contenu  Aller au menu  Aller à la recherche

Bienvenue - Laboratoire Jacques-Louis Lions

Print this page |

Chiffres-clé

Chiffres clefs

189 personnes travaillent au LJLL

86 permanents

80 chercheurs et enseignants-chercheurs permanents

6 ingénieurs, techniciens et personnels administratifs

103 personnels non permanents

74 doctorants

15 post-doc et ATER

14 émérites et collaborateurs bénévoles

 

Chiffres janvier 2022

 

Daria Ghilli

Lundi 24 Septembre 2018

Daria Ghilli (Karl Franzens University Graz)

On Neumann problems for nonlocal Hamilton-Jacobi equations related to jump processes.

Résumé :
We deal with nonlinear nonlocal equations, where the nonlocal part is a singular integral term related to the generators of discontinuous jump processes and the nonlinear part is an Hamiltonian term typically related to optimal control problems. More specifically, we are interested in Neumann boundary conditions for the above mentioned equations, where new nonlocal phenomena appear related to the discontinuity of the underlying jump processes. We will recall the underlying probabilistic interpretation and adopt an analytical approach, i.e. we deal directly with the generators and not with the process itself. .