GLOBAL WELL-POSEDNESS OF THE RELATIVISTIC BOLTZMANN EQUATION.

In this paper, we prove the global existence and uniqueness of a mild solution to the relativistic Boltzmann equation both in the whole space and in torus for a class of initial data with bounded velocity-weighted L^∞-norm and some smallness on L_x¹L_p^∞ -norm as well as on defect mass, energy, and entropy. Moreover, the asymptotic stability of the solutions is also investigated in the case of torus. [ABSTRACT FROM AUTHOR]