【摘要】 本文研究空间均匀的Fokker-Planck-Boltzmann方程．对满足质量和动量守恒以及能量线性增长的解,给出了其在任何时间区间[δ,T](?)(0,∞)上的加权L1和L2估计．利用这些结果以及碰撞算子已知的Lp和Sobolev估计,我们建立了方程解的光滑性和唯一性．更多还原

【Abstract】 This paper is devoted to studying the spatially homogeneous Fokker-Planck-Boltzmann equation. For solutions satisfying conservation of mass and momentum, and linear increasing of energy, new weighted L1 and L2 estimates on any time interval [δ, T] (?) (O,∞) are given. With these results and the known Lp and Sobolev estimates of the collision operator, we establish the smoothness and uniqueness of the solutions of the equation.更多还原