2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/135327We study a class of nonlinear kinetic Fokker-Planck type equations modeling quantum particles which obey the Bose-Einstein and Fermi-Dirac statistics, respectively. We establish the existence of classical solutions in the perturbative regime and prove exponential convergence towards the equilibrium.13 pages. to appear in Comm. Math. SciAnalysis of PDEsMathematical Physics82C40, 82C10, 76R50, 82D37Stability of steady states in kinetic Fokker-Planck equations for Bosons and Fermionstext