  The Vlasov-Poisson-Boltzmann equation is a classical equation governing the
dynamics of charged particles with the electric force being self-imposed. We
consider the system in a convex domain with the Cercignani-Lampis boundary
condition. We construct a uniqueness local-in-time solution based on an
$L^\infty$-estimate and $W^{1,p}$-estimate. In particular, we develop a new
iteration scheme along the characteristic with the Cercignani-Lampis boundary
for the $L^\infty$-estimate, and an intrinsic decomposition of boundary
integral for $W^{1,p}$-estimate.
