Almost Finite Speed of Propagation for Linear Peridynamics
  The peridynamic analogue of the wave equation does not have finite speed propogation. We show, for one dimensional linear peridynamics, that solutions do nonetheless satisfy estimates analogous to those satisfied by solutions of the wave equations. More precisely, the solution and all derivatives become small as we go away from the domain of dependence of the initial data. 
John Stalker
math.AP