Asymptotic stability of the relativistic Maxwellian

Global classical solutions near the relativistic Maxwellian are constructed for the relativistic Boltzmann equation in both a periodic box and the whole space. For both cases, we are able to get the non-negativity of the global solution under less restriction than in (Publ. Res. Inst. Math. Sci. 1993; 29:301-347) on the scattering kernel.