In this paper, we deal with the relativistic Boltzmann equation in the whole space R3x under the closed to equilibrium setting. We obtain the existence, uniqueness, and large time behavior of the solution without imposing any Sobolev regularity (both the spatial and velocity variables) on the initial data. Moreover, we recognize the finite speed of propagation of the solution, which reflects the difference, in essence, between the relativistic Boltzmann equation and the classical Boltzmann equation.
All Science Journal Classification (ASJC) codes
- Computational Mathematics
- Applied Mathematics