Homogeneous Boltzmann Equation Solution Approximation

In this paper, we discuss the L² , H^K estimates of the homogeneous Fokker-Planck-Boltzmann equation. Fuether more, we obtain the L^p, W^k,p estimation, and prove this theorem:the solution is propagation with the initial datum. Besides, we discuss that the solution of the homogeneous Boltzmanncan be approximated by the solution of the Fokker-Planck-Boltzmann equation with L² norm in a special situation.