论文标题
对速度平均引理的重新审视：关于固定玻尔兹曼方程的规律性
A Revisit of the Velocity Averaging Lemma: on the Regularity of Stationary Boltzmann Equation in a Bounded Convex Domain
论文作者
论文摘要
在目前的工作中，我们采用平均引理的速度的概念来建立有界凸域中固定线性化玻尔兹曼方程的规律性。考虑到传入的数据，有三个迭代，我们在空间变量中的分数Sobolev空间中建立了规律性，直到订单$ 1^ - $。
In the present work, we adopt the idea of velocity averaging lemma to establish regularity for stationary linearized Boltzmann equations in a bounded convex domain. Considering the incoming data, with three iterations, we establish regularity in fractional Sobolev space in space variable up to order $1^-$.
