Local and global solution for a nonlocal Fokker-Planck equation related to the adaptive biasing force process

Orateur: Houssam ALRACHID
Type: Séminaire des doctorants
Site: UPEM
Salle: Salle de thèses
Date de début: 25/03/2016 - 16:00
Date de fin: 25/03/2016 - 16:00

We prove global existence, uniqueness and regularity of the mild, Lp and classical solution of a non-linear Fokker-Planck equation arising in an adaptive importance sampling method for molecular dynamics calculations. The non- linear term is related to a conditional expectation, and is thus non-local. The proof uses tools from the theory of semigroups of linear operators for the local existence result, and an a priori estimate based on a supersolution for the global existence result.​​