论文标题
具有硬潜力的非切割玻尔兹曼方程的规律性
Regularity of Non-cutoff Boltzmann Equation with Hard Potential
论文作者
论文摘要
本文证明了Boltzmann方程的规律性，而没有角度截止具有硬潜力。通过提高碰撞操作员的固定性和上限估计，分析运输算子和某些加权伪分化算子之间的泊松支架，我们证明当初始数据具有轻微的规律性时，我们证明了空间和速度变量的正则效应。
This article proves the regularity for the Boltzmann equation without angular cutoff with hard potential. By sharpening the coercivity and upper bound estimate on the collision operator, analyzing the Poisson bracket between the transport operator and some weighted pseudo-differential operator, we prove the regularizing effect in space and velocity variables when the initial data has mild regularity.
