Applied Mathematics Seminar

Speaker: Juhi Jang,
University of California, Riverside

Title: On the kinetic Fokker-Planck equation with absorbing barrier

Abstract: We discuss the well-posedness theory of classical solutions to the kinetic
Fokker-Planck equation in bounded domains with absorbing boundary conditions. We show
that the solutions are smooth up the boundary away from the singular set and they are
Holder continuous up to the singular set. This is joint work with H.J. Hwang, J. Jung,
and J.L. Velazquez.