2 papers
math.AP2025
Dispersive estimates for Dirac Operators in dimension four with obstructions at threshold energies
William R. Green, Connor Lane, Benjamin Lyons
We investigate dispersive estimates for the Dirac equation with a potential in four spatial dimensions. We classify the structure of the obstructions at the thres…
math.AP2024
The Massless Dirac Equation in Three Dimensions: Dispersive estimates and zero energy obstructions
William R. Green, Connor Lane, Benjamin Lyons +2
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\rangl…