Time decay of scaling critical electromagnetic Schr\"odinger flows
  We obtain a representation formula for solutions to Schr\"odinger equations with a class of homogeneous, scaling-critical electromagnetic potentials. As a consequence, we prove the sharp $L^{1}\to L^{\infty}$ time decay estimate for the 3D-inverse square and the 2D-Aharonov-Bohm potentials. 
Luca Fanelli, Veronica Felli, Marco A. Fontelos, Ana Primo
math.AP