In this paper, we consider the Cauchy problem for the relativistic Boltzmann equation with near vacuum initial data where the distribution function depends on time, position and momenta. The collision kernel considered here corresponds to short range interactions and the background space-time is fixed and is of Bianchi type I. The existence of a unique global (in time) mild solution is obtained in a suitable weighted space.

中文翻译：

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短程相互作用玻尔兹曼方程温和解的全局存在性定理

在本文中，我们考虑了具有近真空初始数据的相对论玻尔兹曼方程的柯西问题，其中分布函数取决于时间、位置和动量。这里考虑的碰撞核对应于短程相互作用，背景时空是固定的，属于比安奇 I 型。在合适的加权空间中获得唯一的全局（时间上）温和解的存在性。