Constructive Krein-Rutman result for Kinetic Fokker-Planck equations in
a domain
Constructive Krein-Rutman result for Kinetic Fokker-Planck equations in
a domain
We consider a general Kinetic Fokker-Planck (KFP) equation in a domain with Maxwell reflection condition on the boundary, not necessarily with conservation of mass. We establish the wellposedness in many spaces including Radon measures spaces, and in particular the existence and uniqueness of fundamental solutions. We also establish a Krein-Rutman …