  We prove a Schauder estimate for kinetic Fokker-Planck equations that
requires only H\"older regularity in space and velocity but not in time. As an
application, we deduce a weak-strong uniqueness result of classical solutions
to the spatially inhomogeneous Landau equation beginning from initial data
having H\"older regularity in $x$ and only a logarithmic modulus of continuity
in $v$. This replaces an earlier result requiring H\"older continuity in both
variables.
