Uniqueness of Bounded Solutions for the Homogeneous Relativistic Landau Equation with Coulomb Interactions

Abstract

We prove the uniqueness of weak solutions to the spatially homogeneous special relativistic Landau equation under the conditional assumption that the solution satisfies $(p^0{)}^{7}F(t,p)\in L^1([0,T];L^{\infty })$. The existence of standard weak solutions to the relativistic Landau equation has been shown recently in (arXiv:1806.08720)

37 pages, published version