Boltzmann方程的L^1稳定性

L^1 Stability of the Boltzmann Equation

本文研究在小初值情况下Boltzmann方程经典解的L1稳定性.借助于Toscani等人所给的估计,对硬位势和软位势作了讨论,完善了[2]中关于硬球模型的结果.

In this paper,we study the L^1 stability of the classical solutions for the Boltzmann equation with small initial data.By means of the estimates given by Toscani et al,both hard potentials and soft potentials are discussed and hence the results obtained in [2] about hard sphere model are included.