On stability and strong convergence for the spatially homogeneous Boltzmann equation for Fermi-Dirac particles

The paper considers the stability and strong convergence to equilibrium of solutions to the spatially homogeneous Boltzmann equation for Fermi-Dirac particles. Under a cutoff condition on the collision kernel, we prove a strong stability in L-1 topology at any finite time interval, and, for hard and Maxwellian potentials, we prove that the solutions converge strongly in L-1 to equilibrium under a high temperature condition. The basic tools used are moment-production estimates and the strong compactness of the collision gain term.