Abstract
We 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.
Citation
Lukas Neumann. Christof Sparber. "Stability of steady states in kinetic Fokker-Planck equations for Bosons and Fermions." Commun. Math. Sci. 5 (4) 765 - 777, December 2007.
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