The Massless Dirac Equation in Three Dimensions: Dispersive estimates
and zero energy obstructions
The Massless Dirac Equation in Three Dimensions: Dispersive estimates
and zero energy obstructions
We investigate dispersive estimates for the massless three dimensional Dirac equation with a potential. In particular, we show that the Dirac evolution satisfies a $\langle t\rangle^{-1}$ decay rate as an operator from $L^1$ to $L^\infty$ regardless of the existence of zero energy eigenfunctions. We also show this decay rate may …