We prove, in this paper, the well-posedness and nonnegativity of the regular solution of the relativistic Boltzmann equation in the presence of a given electromagnetic field, taking as background a Lorentzian space-time which is of type Bianchi I with locally rotational symmetry.

中文翻译：

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磁化玻尔兹曼方程正则解的非负性和适定性

在本文中，我们证明了存在给定电磁场的相对论玻尔兹曼方程的正则解的适定性和非负性，以具有局部旋转对称性的 Bianchi I 型洛伦兹时空为背景。