In this paper, we establish the existence of small-amplitude unique solutions near the Maxwellian for the Fokker-Planck-Boltzmann equation in a finite channel with specular reflection boundary conditions. The solution space we consider is denoted as Lk1LT infinity Lx1,v2, introduced in Duan et al. [Commun. Pure Appl. Math. 74(5), 932-1020 (2021)]. In addition, we investigate the long-time behavi...
