Title: Dispersive estimates for massive Dirac operators in dimension two,
Abstract: We study the massive two dimensional Dirac operator with an electric
potential. In particular, we show that the $t^{-1}$ decay rate holds in the
$L^1\to L^\infty$ setting if the threshold energies are regular. We also show
these bounds hold in the presence of s-wave resonances at the threshold. We
further show that, if the threshold energies are regular that a faster decay
rate of $t^{-1}(\log t)^{-2}$ is attained for large $t$, at the cost of
logarithmic spatial weights. The free Dirac equation does not satisfy this
bound due to the s-wave resonances at the threshold energies.