Long time decay for 2D Klein–Gordon equation

We obtain a dispersive long-time decay in weighted energy norms for solutions of the 2D Klein– Gordon equations. The decay extends the results obtained by Jensen, Kato and Murata for the equations of Schrödinger’s type by the spectral approach. For the proof we modify the approach to make it applicable to relativistic equations. © 2010 Elsevier Inc. All rights reserved