| Contents |
| We present global well-posedness results for a relaxed version of the Landau equation with Coulomb potential. The initial distribution is only assumed to be bounded and decaying sufficiently fast at infinity. Despite lack of a comparison principle for the equation, the proof of existence relies on barrier arguments and parabolic regularity theory.
The Landau equation arises in kinetic theory of plasma physics. It was derived by Landau and serves as a formal approximation to the Boltzmann equation when grazing collisions are predominant. |
|