Minicourse "On the kinetic
Fokker-Planck equation in a domain"
BCAM, Bilbao, Spain, 17th-21st June 2024
Lecture 1 - The
parabolic equation
I give an overview on the so-called De Giorgi-Nash-Moser
theory formulated as the ultracontractivity property of the
parabolic flow.
The material of this lecture can be found here chapter 2-1 and here chapter 2-2.
Lecture 2 - The
kinetic Fokker-Planck equation
I give several regularity and longtime convergence results
for the kinetic Fokker-Planck in the whole space and in the torus.
Lecture 3 - The
kinetic Fokker-Planck equation in a domain
I present some recent works and forthcoming ones obtained in
collaboration with K. Carrapatoso, C. Fonte, P. Gabriel &
R. Medina.
A first paper is available here.
References -
Some references can be find here.