In this paper, we deal with the relativistic Landau and Boltzmann equations in the whole space R 3 under the closed to equilibrium setting. We recognize the finite speed of propagation of the solution which was constructed by Yang and Yu (J Differ Equ 248:1518-1560, 2010. Moreover, the propagation speed can be as close as we want to the maximum speed of the transport part of the kinetic equation.
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